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Your FREE ACS General Chemistry Exam Practice Test 2026 – 240+ Q&A

Prepare with realistic, ACS-style general chemistry questions — take a full practice test or drill a single content area.

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Click Start Test above to launch a full-length ACS General Chemistry practice test stratified across all ten content areas, or drill a single area — atoms, bonding, reactions, equilibrium, energy and thermodynamics, and more. Every question includes a clear rationale so you learn the reasoning, not just the answer.

The ACS General Chemistry Exam is a standardized end-of-course exam written and nationally normed by the American Chemical Society’s Division of Chemical Education Examinations Institute (ACS Exams).[1] Colleges use it as a cumulative final to benchmark students against a national sample.

The most common form combines first- and second-term content into 70 multiple-choice questions in 110 minutes;[4] separate first-term and second-term forms also exist, so confirm the exact version with your professor before you study.

For complete prep, pair these with our free study guide, flashcards, and cheat sheet.

Career Employer ACS General Chemistry Exam Student Data

Updated daily

Career Employer ACS General Chemistry Exam practice-test data · through Oct 16, 2026 · 160+ students

26% of ACS General Chemistry Exam students on Career Employer who start a full-length practice exam finish one.[7]

See Career Employer’s full ACS General Chemistry Exam student data ↓Our data & methodology

Source: Career Employer ACS General Chemistry Exam practice-test data, Aug 1, 2026 – Oct 16, 2026. Our practice questions written to the official outline, not the official exam; self-selected sample; a student is one browser.

ACS General Chemistry Exam at a Glance

ACS General Chemistry Exam at a glance
DetailACS General Chemistry Exam
Questions70 multiple-choice (full-year form; first-/second-term forms vary)
Question typeFour-option multiple choice, no penalty for guessing
Time limit110 minutes (about 95 seconds per question)
Scoring / resultRaw score converted to a national percentile rank; instructors set the grade scale
Administered byACS Exams Institute (ACS Division of Chemical Education) via your college / instructor
EligibilityEnrollment in a general chemistry course; ordered by the instructor, not the student
CostSet by the institution; ACS exams are billed to departments (often built into course fees)
Aids allowedNon-programmable calculator and the ACS periodic table; policy set by the instructor

What Is on the ACS General Chemistry Exam?

ACS Exams organizes its general chemistry content around 10 official Anchoring Concepts (the ACS Undergraduate Chemistry Anchoring Concepts Content Map): Atoms; Bonding; Structure and Function; Intermolecular Forces; Reactions; Energy and Thermodynamics; Kinetics; Equilibrium; Measurement and Data; and Visualization and Scale.[6]

ACS Exams does not publish fixed public percentage weights for each concept; on the full-year exam the ~70 questions are spread broadly across these categories.[4] The even ~10% targets below are the modeling assumption we use to stratify our full-length practice test — not an official ACS blueprint.

Use the per-area drills to find and close your weakest topics:

ACS General Chemistry Exam content areas (10 official Anchoring Concepts)
Atoms10% · ≈7 Qs
Bonding10% · ≈7 Qs
Structure and Function10% · ≈7 Qs
Intermolecular Forces10% · ≈7 Qs
Reactions10% · ≈7 Qs
Energy and Thermodynamics10% · ≈7 Qs
Kinetics10% · ≈7 Qs
Equilibrium10% · ≈7 Qs
Measurement and Data10% · ≈7 Qs
Visualization and Scale10% · ≈7 Qs
ACS General Chemistry Exam practice test — practice questions by domain with answer explanations

Practice Questions by Content Area

Use Start Test for a full weighted ACS simulation, or open the hub and pick a single content area to drill your weak spot. After each full exam, your results show a per-area breakdown so you know exactly where to focus — most students need the most reps on reactions, equilibrium, and energy/thermodynamics calculations.

Who Can Take the ACS General Chemistry Exam?

Anyone enrolled in a general chemistry course whose professor or department uses an ACS standardized exam can take the ACS General Chemistry Exam — there is no formal eligibility application.

It is an instructor-ordered, course-based exam, most often given as the cumulative final.[1] The exam is not open to the public for individual purchase the way a licensing exam is — access is controlled by the ACS Exams Institute and distributed to instructors.

Confirm with your instructor which form you’ll take (first-term, second-term, or full-year) and when.

How Do You Register for the ACS Exam?

You do not register for the ACS General Chemistry Exam yourself — your instructor or chemistry department orders the secure exam from ACS Exams, schedules the test session (a proctored 110-minute window for the full-year form), and administers it in class or a testing center.[3]

Your only step is to show up prepared with any permitted aids — typically a non-programmable calculator and the ACS-provided periodic table. Because each institution administers its own session, there is no national test date or candidate portal.

What Is the Passing Score for the ACS Exam?

There is no official passing score for the ACS General Chemistry Exam — your raw score is converted to a national percentile rank, and each instructor decides how that percentile or raw score maps to a course grade.[5]

Each four-option item is scored right/wrong on the number of questions answered correctly; there is no penalty for guessing, so answer everything. The percentile conversion uses norms ACS builds from thousands of students who took the same form.

Some instructors set an informal benchmark (commonly answering at least about 50% of items correctly), but that is a course policy, not an ACS standard. A newer General Chemistry form also offers an optional partial-credit / modeled-norm scoring method.

How Hard Is the ACS Exam?

The ACS General Chemistry Exam is considered tough because it is cumulative, fast-paced, and conceptual: 70 questions in 110 minutes (~95 seconds each) covering an entire year of chemistry.[4]Many items emphasize conceptual reasoning and multi-step problem solving over plug-and-chug recall, and the tight time limit punishes students who haven’t drilled calculations to automaticity. The breadth is the real challenge — you can’t cram a single unit.

70
Questions (full-year form)
in 110 minutes
~95s
Per question
fast, cumulative pace
10
Content areas
full two-semester scope

ACS does not publish a single national pass rate, because the exam has no fixed pass/fail standard — outcomes are reported as percentile ranks and converted to grades at the instructor’s discretion. Raw scores around the 50% range often land near the middle of the national distribution. The takeaway: do timed, mixed-topic practice until you’re consistently scoring above your instructor’s target before exam day.

On Career Employer, 26% of ACS General Chemistry Exam students who start a full-length practice exam finish one[7] — see the ACS General Chemistry Exam student data above.

What to Expect on Exam Day

The ACS General Chemistry Exam is proctored by your instructor or department in a classroom or testing center, not a commercial test center. For the full-year form you’ll have 110 minutes to answer 70 four-option multiple-choice questions — about 95 seconds each, with no scheduled breaks.

[4] Bring (and practice with) the aids your instructor permits: typically a non-programmable scientific calculator and the ACS-provided periodic table; confirm whether a formula sheet is allowed. There is no penalty for guessing, so answer every question even when you have to estimate.

Pace yourself — flag hard items and return to them rather than burning the clock early. Having rehearsed the full timing with practice tests makes that 110-minute window feel routine.

How to Use This ACS Practice Test

  • Recreate exam conditions. Take the full test timed, with only your permitted calculator and periodic table.[2]
  • Diagnose, then drill. Use a full simulation to find weak content areas, then drill them one at a time.
  • Prioritize the math. Reactions, equilibrium, and energy/thermodynamics calculations move your score most.
  • Learn the why. Read every rationale — conceptual understanding beats memorizing on this exam.
  • Answer everything. There’s no guessing penalty, so never leave a question blank.

Plan for the full sitting. Only 26% of ACS General Chemistry Exam students on Career Employer who start a full-length practice exam finish one (42 of 160)[7] — set aside the full sitting before you press Start Test.

Why the ACS General Chemistry Exam Matters

A strong ACS percentile demonstrates that you’ve mastered general chemistry against a national benchmark — and because it often counts as a cumulative final, it can swing your course grade and set up later coursework like organic chemistry.[1]These free ACS practice questions and test prep mirror the exam’s conceptual style and content areas, making them the most efficient way to walk in ready.[5]

Conclusion

Passing the ACS General Chemistry Exam comes down to recalling a full year of chemistry fast and reasoning through multi-step problems under time pressure. Use this free ACS practice test to find your weakest content areas and drill them to mastery. For complete prep, pair it with our free study guide, flashcards, and cheat sheet. Start with one full-length practice test to find your weakest section, then drill that section first.[7]

ACS Practice Test FAQ

The ACS General Chemistry Exam's most common version, the full-year form, has 70 four-option multiple-choice questions with a 110-minute time limit — about 95 seconds per question. ACS Exams also publishes separate first-term and second-term general chemistry forms whose length and timing can differ, so confirm exactly which form your instructor is giving before you study.

Career Employer ACS General Chemistry Exam practice-test data, through Oct 16, 2026 · 160+ students
Every published Career Employer ACS General Chemistry Exam practice-test number, with its sample size, source and date
MetricValuenStudentsSourceData through
Started a full-length practice exam160—160all question versionsOct 16, 2026
Finished a full-length practice exam42of 160 starters42all question versionsOct 16, 2026
Full-length practice exam finish rate26.3%160 starters160all question versionsOct 16, 2026

First attempt at each question only; repeats, answers after revealing the explanation, bots and staff excluded. Aug 29, 2026 – Oct 16, 2026. Our practice questions written to the official outline, not the official exam; self-selected sample; a student is one browser. Free to reuse under CC BY 4.0 — cite “Career Employer practice-test data, careeremployer.com/data”.

ACS General Chemistry Exam question bank

All 246 questions, by domain

A reference copy of every question in this practice test. Each answer stays hidden until you choose to show it. To practice with scoring, timing and your readiness score, use Start Test at the top of the page.

Atoms (25)

  1. Which electronic transition in a hydrogen atom emits the highest energy photon?

    • A.n=2n = 2 to n=1n = 1
    • B.n=3n = 3 to n=2n = 2
    • C.n=5n = 5 to n=2n = 2
    • D.n=4n = 4 to n=3n = 3
    Show answerHide answer

    Correct answer: n=2n = 2 to n=1n = 1

    Correct answer: n=2n = 2 to n=1n = 1. Explanation: The emitted photon energy equals the difference between the levels, ΔE∝(1nf2−1ni2)\Delta E \propto \left(\frac{1}{n_f^{2}} - \frac{1}{n_i^{2}}\right). For n=2→1n = 2 \to 1, ΔE∝1−14=0.75\Delta E \propto 1 - \frac{1}{4} = 0.75; for n=5→2n = 5 \to 2 it is 14−125=0.21\frac{1}{4} - \frac{1}{25} = 0.21; for n=3→2n = 3 \to 2 it is 0.1390.139; for n=4→3n = 4 \to 3 it is 0.0490.049. The largest energy gap, and thus the highest energy photon, is the n=2n = 2 to n=1n = 1 transition.

  2. What is the maximum number of electrons that can occupy a single orbital?

    • A.1
    • B.2
    • C.3
    • D.4
    Show answerHide answer

    Correct answer: 2

    Correct answer: 2. Explanation: According to the Pauli exclusion principle, an orbital can hold a maximum of two electrons, and these electrons must have opposite spins.

  3. In a multielectron atom, which electron transition corresponds to the absorption of the lowest energy photon?

    • A.From 1s to 2s
    • B.From 2s to 2p
    • C.From 2p to 3d
    • D.From 3s to 4p
    Show answerHide answer

    Correct answer: From 2s to 2p

    Correct answer: From 2s to 2p. Explanation: The energy difference between the 2s and 2p orbitals in a multielectron atom is smaller compared to transitions involving a change in the principal quantum number. Therefore, it corresponds to the absorption of the lowest energy photon.

  4. What is the electron configuration for a CaX2+\ce{Ca^2+} ion?

    • A.[Ar]4s2[\ce{Ar}]4s^{2}
    • B.[Ar][\ce{Ar}]
    • C.[Ne]3s23p6[\ce{Ne}]3s^{2}3p^{6}
    • D.[Ar]3d2[\ce{Ar}]3d^{2}
    Show answerHide answer

    Correct answer: [Ar][\ce{Ar}]

    Correct answer: [Ar][\ce{Ar}]. Explanation: The electron configuration of a neutral calcium atom is [Ar]4s2[\ce{Ar}]4s^{2}. When it forms a CaX2+\ce{Ca^2+} ion, it loses the two electrons in the 4s orbital, resulting in the configuration [Ar][\ce{Ar}].

  5. Which statement about isotopes is correct?

    • A.Isotopes of an element have different numbers of protons.
    • B.Isotopes of an element have different numbers of electrons.
    • C.Isotopes of an element have different numbers of neutrons.
    • D.Isotopes of an element have different electron configurations.
    Show answerHide answer

    Correct answer: Isotopes of an element have different numbers of neutrons.

    Correct answer: Isotopes of an element have different numbers of neutrons. Explanation: Isotopes of an element have the same number of protons (and hence are the same element) but differ in the number of neutrons.

  6. Which quantum number determines the shape of an electron orbital?

    • A.Principal quantum number (nn)
    • B.Azimuthal quantum number (ll)
    • C.Magnetic quantum number (mlm_{l})
    • D.Spin quantum number (ss)
    Show answerHide answer

    Correct answer: Azimuthal quantum number (ll)

    Correct answer: Azimuthal quantum number (ll). Explanation: The azimuthal quantum number (ll) determines the shape of an electron orbital. For example, l=0l = 0 corresponds to s orbitals (spherical), l=1l = 1 to p orbitals (dumbbell-shaped), etc.

  7. The Aufbau principle states that:

    • A.Electrons occupy the highest energy orbitals first.
    • B.Electrons pair up in an orbital only after all orbitals in the same sublevel have one electron.
    • C.Electrons fill the orbitals of lowest energy first.
    • D.Electrons in the same orbital must have the same spin.
    Show answerHide answer

    Correct answer: Electrons fill the orbitals of lowest energy first.

    Correct answer: Electrons fill the orbitals of lowest energy first. Explanation: The Aufbau principle guides the building up of electron configurations for atoms in their ground states by filling the lowest energy orbitals before higher ones.

  8. What is the total number of orbitals in the third energy level (n=3n=3) of an atom?

    • A.3
    • B.5
    • C.9
    • D.7
    Show answerHide answer

    Correct answer: 9

    Correct answer: 9. Explanation: The third energy level includes the 3s, 3p, and 3d sublevels, which have 1, 3, and 5 orbitals respectively. Thus, there are a total of 9 orbitals (1+3+51+3+5).

  9. Which electron configuration is possible for an atom in an excited state?

    • A.1s22s22p61s^{2}2s^{2}2p^{6}
    • B.1s22s22p53s11s^{2}2s^{2}2p^{5}3s^{1}
    • C.1s22s22p63s21s^{2}2s^{2}2p^{6}3s^{2}
    • D.1s22s22p63p11s^{2}2s^{2}2p^{6}3p^{1}
    Show answerHide answer

    Correct answer: 1s22s22p53s11s^{2}2s^{2}2p^{5}3s^{1}

    Correct answer: 1s22s22p53s11s^{2}2s^{2}2p^{5}3s^{1}. Explanation: This configuration shows an electron has been excited from the 2p orbital to the 3s orbital, which is typical of an excited state.

  10. Which is the correct electron configuration for the outer shell of a bromine atom in the ground state?

    • A.4s24p54s^{2}4p^{5}
    • B.4s24p64s^{2}4p^{6}
    • C.3s23p53s^{2}3p^{5}
    • D.4s23d104p54s^{2}3d^{10}4p^{5}
    Show answerHide answer

    Correct answer: 4s23d104p54s^{2}3d^{10}4p^{5}

    Correct answer: 4s23d104p54s^{2}3d^{10}4p^{5}. Explanation: Bromine (atomic number 35) has a ground state electron configuration of [Ar]4s23d104p5[\ce{Ar}]4s^{2}3d^{10}4p^{5} for its outer shell, which accounts for the last 17 electrons.

  11. Which element has the highest first ionization energy in Period 2?

    • A.Lithium
    • B.Beryllium
    • C.Neon
    • D.Nitrogen
    Show answerHide answer

    Correct answer: Neon

    Correct answer: Neon. Explanation: Neon, being the noble gas in Period 2, has a completely filled outer shell, making it very stable and requiring the most energy to remove an electron compared to other elements in its period.

  12. Which of the following elements is most likely to form a +1 oxidation state?

    • A.Aluminum
    • B.Silicon
    • C.Sodium
    • D.Sulfur
    Show answerHide answer

    Correct answer: Sodium

    Correct answer: Sodium. Explanation: Sodium, being in Group 1, commonly loses one electron to form a +1 ion, aligning with its group characteristics in the periodic table.

  13. What is the most common oxidation state of elements in Group 16 (the Chalcogens)?

    • A.-2
    • B.2
    • C.4
    • D.6
    Show answerHide answer

    Correct answer: -2

    Correct answer: -2. Explanation: Elements in Group 16 typically exhibit a -2 oxidation state due to their tendency to gain two electrons to achieve a noble gas electron configuration.

  14. Transition metals show variable oxidation states. Which of the following transition metals exhibits the highest oxidation state?

    • A.Iron
    • B.Manganese
    • C.Cobalt
    • D.Nickel
    Show answerHide answer

    Correct answer: Manganese

    Correct answer: Manganese. Explanation: Manganese exhibits oxidation states up to +7, which is higher than the other listed transition metals, demonstrated by compounds like permanganate (MnOX4X−\ce{MnO4-}).

  15. Which element has the smallest atomic radius in the 3rd period?

    • A.Sodium
    • B.Aluminum
    • C.Silicon
    • D.Argon
    Show answerHide answer

    Correct answer: Argon

    Correct answer: Argon. Explanation: Atomic radius decreases across a period due to increasing nuclear charge attracting electrons more strongly. Argon, being the last element in the 3rd period, has the smallest atomic radius.

  16. Which group in the periodic table is known for having elements that are all gases at room temperature?

    • A.Group 1
    • B.Group 14
    • C.Group 17
    • D.Group 18
    Show answerHide answer

    Correct answer: Group 18

    Correct answer: Group 18. Explanation: Group 18 contains the noble gases, all of which are monatomic gases at room temperature due to their complete electron shells and lack of need to react to achieve stability.

  17. Which of the following elements exhibits the highest electronegativity?

    • A.Fluorine
    • B.Chlorine
    • C.Bromine
    • D.Iodine
    Show answerHide answer

    Correct answer: Fluorine

    Correct answer: Fluorine. Explanation: Fluorine is the most electronegative element on the periodic table, reflecting its strong tendency to attract electrons in chemical bonds.

  18. What is the typical oxidation state of elements in Group 1 when they form compounds?

    • A.1
    • B.-1
    • C.2
    • D.-2
    Show answerHide answer

    Correct answer: 1

    Correct answer: 1. Explanation: Group 1 elements (alkali metals) typically lose one electron to form cations with a +1 oxidation state due to their electronic configuration.

  19. What is the electron configuration of the outer shell of a typical element in Group 13?

    • A.s2s^2
    • B.s2p1s^2 p^1
    • C.s2p3s^2 p^3
    • D.s2p5s^2 p^5
    Show answerHide answer

    Correct answer: s2p1s^2 p^1

    Correct answer: s2p1s^2 p^1. Explanation: Elements in Group 13 have three electrons in the outer shell, with the typical electron configuration being s2p1s^2 p^1, indicating two electrons in the s orbital and one in the p orbital.

  20. An element has the ground-state electron configuration [Ar]3d104s24p3[\ce{Ar}]3d^{10} 4s^2 4p^3. In which group of the periodic table is this element located?

    • A.Group 15 (the pnictogens)
    • B.Group 13 (the boron group)
    • C.Group 5 (the vanadium group)
    • D.Group 17 (the halogens)
    Show answerHide answer

    Correct answer: Group 15 (the pnictogens)

    This element is in Group 15. Group placement for main-group elements is set by the number of valence (highest-n) electrons: here the 4s24p34s^2 4p^3 outer shell gives 5 valence electrons, placing it in Group 15. The filled 3d103d^{10} subshell is core-like and does not count toward the main-group number, so Group 5 is wrong; counting only p electrons (Group 13) or assuming a near-full p subshell (Group 17) also misreads the configuration.

  21. According to Hund's rule, how are the three 2p electrons of a ground-state nitrogen atom arranged among the 2p orbitals?

    • A.Two electrons paired in one 2p orbital and one electron in a second 2p orbital
    • B.One electron in each of the three 2p orbitals, all with parallel spins
    • C.All three electrons paired together in a single 2p orbital
    • D.Two electrons in the same orbital with opposite spins plus one unpaired electron elsewhere
    Show answerHide answer

    Correct answer: One electron in each of the three 2p orbitals, all with parallel spins

    The correct arrangement is one electron in each of the three 2p orbitals with parallel spins. Hund's rule of maximum multiplicity states that electrons singly occupy each orbital within a subshell before any orbital is doubly occupied, and these unpaired electrons adopt parallel spins to minimize electron-electron repulsion. The paired-orbital options violate Hund's rule by pairing electrons before all degenerate orbitals are half-filled.

  22. An atom contains 17 protons, 18 neutrons, and 16 electrons. What is the identity and net charge of this species?

    • A.A chlorine anion with a -1 charge
    • B.A sulfur cation with a +1 charge
    • C.A chlorine cation with a +1 charge
    • D.An argon atom with no net charge
    Show answerHide answer

    Correct answer: A chlorine cation with a +1 charge

    This species is a chlorine cation with a +1 charge. The element is determined solely by the proton number (atomic number), and 17 protons identifies chlorine, not sulfur (16) or argon (18). Charge equals protons minus electrons, so 17−16=+117 - 16 = +1, making it a cation; the -1 option reverses the relationship between protons and electrons.

  23. Which set of four quantum numbers (n,l,ml,ms)(n, l, m_l, m_s) is NOT allowed for an electron in an atom?

    • A.n=3,l=2,ml=−1,ms=−1/2n = 3, l = 2, m_l = -1, m_s = -1/2
    • B.n=1,l=0,ml=0,ms=+1/2n = 1, l = 0, m_l = 0, m_s = +1/2
    • C.n=4,l=1,ml=+1,ms=−1/2n = 4, l = 1, m_l = +1, m_s = -1/2
    • D.n=2,l=2,ml=0,ms=+1/2n = 2, l = 2, m_l = 0, m_s = +1/2
    Show answerHide answer

    Correct answer: n=2,l=2,ml=0,ms=+1/2n = 2, l = 2, m_l = 0, m_s = +1/2

    The forbidden set is n=2,l=2,ml=0,ms=+1/2n = 2, l = 2, m_l = 0, m_s = +1/2. The angular momentum quantum number ll must range from 0 to n−1n-1, so for n=2n = 2 the only allowed ll values are 0 and 1; l=2l = 2 is impossible at n=2n = 2. The other three sets satisfy all rules: l<nl < n, mlm_l falls within −l-l to +l+l, and msm_s is ±1/2\pm 1/2.

  24. Chlorine's standard atomic weight is approximately 35.45 amu, yet no single chlorine atom has that mass. Why is the listed atomic weight a non-integer value?

    • A.It reflects the binding energy lost when protons and neutrons combine in the nucleus
    • B.It is the weighted average mass of chlorine's naturally occurring isotopes, weighted by their relative abundances
    • C.It accounts for the mass of the surrounding electrons added to the nuclear mass
    • D.It is the simple arithmetic mean of the two most stable isotope mass numbers
    Show answerHide answer

    Correct answer: It is the weighted average mass of chlorine's naturally occurring isotopes, weighted by their relative abundances

    The atomic weight is the weighted average mass of chlorine's naturally occurring isotopes, weighted by their relative abundances. Because chlorine exists mainly as X35X2235Cl\ce{^{35}Cl} and X37X2237Cl\ce{^{37}Cl} in fixed proportions, the abundance-weighted mean lands near 35.45 rather than at an integer. Nuclear binding energy and electron mass produce only negligible effects, and a simple (unweighted) average of 35 and 37 would give 36, not 35.45.

  25. Moving from left to right across a period in the periodic table, electron affinity generally becomes more negative (atoms release more energy when gaining an electron). What is the primary reason for this trend?

    • A.The atomic radius increases steadily, pulling added electrons closer to the nucleus
    • B.Additional electron shells are added that shield the nucleus more effectively
    • C.The number of neutrons increases, raising the nuclear mass and its pull on electrons
    • D.Increasing effective nuclear charge more strongly attracts an added electron across the period
    Show answerHide answer

    Correct answer: Increasing effective nuclear charge more strongly attracts an added electron across the period

    The primary reason is the increasing effective nuclear charge, which more strongly attracts an added electron across the period. As protons are added without adding a new shell, the net positive pull on incoming electrons grows, releasing more energy. Atomic radius actually decreases (not increases) across a period, no new shells are added within a period, and neutron count does not govern electron attraction.

Bonding (25)

  1. Which hybridization corresponds to the central atom in a molecule with a square planar geometry?

    • A.spsp
    • B.sp2sp^{2}
    • C.sp3sp^{3}
    • D.sp3d2sp^{3}d^{2}
    Show answerHide answer

    Correct answer: sp3d2sp^{3}d^{2}

    Correct answer: sp3d2sp^{3}d^{2}. Explanation: A central atom in a square planar molecular geometry typically exhibits sp3d2sp^{3}d^{2} hybridization, which accommodates the four bonds and two lone pairs arranged in a square planar structure.

  2. Which of the following molecules has resonance structures?

    • A.COX2\ce{CO2}
    • B.CHX4\ce{CH4}
    • C.SOX2\ce{SO2}
    • D.HX2O\ce{H2O}
    Show answerHide answer

    Correct answer: SOX2\ce{SO2}

    Correct answer: SOX2\ce{SO2}. Explanation: SOX2\ce{SO2} (sulfur dioxide) has resonance structures due to the presence of a lone pair on the sulfur atom and double bonds that can delocalize electrons between the oxygen atoms.

  3. What type of orbital overlap occurs in the formation of a sigma bond between hydrogen and carbon in methane (CHX4\ce{CH4})?

    • A.s-s
    • B.s-p
    • C.p-p
    • D.d-p
    Show answerHide answer

    Correct answer: s-p

    Correct answer: s-p. Explanation: In methane (CHX4\ce{CH4}), the hydrogen's 1s orbital overlaps with the carbon's sp3sp^{3} hybrid orbital to form a sigma bond, which is an s-p overlap.

  4. What best describes the bonding in benzene, CX6HX6\ce{C6H6}?

    • A.Ionic bonding
    • B.Sigma bonding only
    • C.Pi bonding only
    • D.Sigma and delocalized pi bonding
    Show answerHide answer

    Correct answer: Sigma and delocalized pi bonding

    Correct answer: Sigma and delocalized pi bonding. Explanation: Benzene has sigma bonds between adjacent carbon atoms and delocalized pi bonds above and below the plane of carbon atoms, contributing to its aromatic stability.

  5. Which element in the second period forms a diatomic molecule with a triple bond in its most stable form?

    • A.Carbon
    • B.Nitrogen
    • C.Oxygen
    • D.Fluorine
    Show answerHide answer

    Correct answer: Nitrogen

    Correct answer: Nitrogen. Explanation: Nitrogen (NX2\ce{N2}) forms a diatomic molecule with a triple bond, representing the strongest bond among the options, which is characteristic due to its ability to share three pairs of electrons.

  6. Using the formal charge formula FC = (valence electrons) - (lone-pair electrons) - (1/2 x bonding electrons), what is the formal charge on the nitrogen atom in the ammonium ion, NHX4X+\ce{NH4+}, where nitrogen forms four single bonds and has no lone pairs?

    • A.-1
    • B.+1
    • C.+2
    • D.0
    Show answerHide answer

    Correct answer: +1

    The nitrogen carries a formal charge of +1. A neutral nitrogen atom has 5 valence electrons; in NHX4X+\ce{NH4+} it has 0 lone-pair electrons and shares 8 bonding electrons across four N-H bonds, so FC=5−0−(1/2)(8)=5−4=+1FC = 5 - 0 - (1/2)(8) = 5 - 4 = +1. The +1 on nitrogen accounts for the overall +1 charge of the ammonium ion, since the four hydrogens each have a formal charge of 0.

  7. Which set of statements correctly describes resonance structures of a molecule or polyatomic ion?

    • A.The atoms change position while the electrons stay fixed
    • B.Only the placement of electrons differs; the nuclei stay in the same positions, and the true structure is a hybrid of all contributors
    • C.Each resonance structure is a real, separate molecule that the compound rapidly converts into
    • D.Resonance occurs only in ionic compounds, never in covalent molecules
    Show answerHide answer

    Correct answer: Only the placement of electrons differs; the nuclei stay in the same positions, and the true structure is a hybrid of all contributors

    Resonance structures differ only in where the electrons (lone pairs and pi bonds) are drawn; the positions of the atomic nuclei do not change. The actual molecule is a single resonance hybrid, a weighted average of the contributors, not a mixture that flips back and forth between separate real structures. This delocalization of electrons is why species like the nitrate ion have three equivalent bonds rather than one double and two single bonds.

  8. In a sigma bond versus a pi bond, which statement correctly distinguishes the two?

    • A.A sigma bond can never be the first bond between two atoms
    • B.A pi bond forms by head-on overlap, while a sigma bond forms by side-to-side overlap
    • C.Both sigma and pi bonds form only between s orbitals
    • D.A sigma bond forms by head-on (end-to-end) orbital overlap along the bond axis, while a pi bond forms by side-to-side overlap above and below the bond axis
    Show answerHide answer

    Correct answer: A sigma bond forms by head-on (end-to-end) orbital overlap along the bond axis, while a pi bond forms by side-to-side overlap above and below the bond axis

    A sigma bond results from head-on, end-to-end overlap of orbitals directly along the internuclear axis, giving electron density concentrated between the two nuclei. A pi bond results from side-to-side overlap of parallel p orbitals, placing electron density above and below the bond axis. The first bond between two atoms is always a sigma bond; additional bonds in a double or triple bond are pi bonds.

  9. A nitrogen-nitrogen triple bond, as found in NX2\ce{N2}, consists of how many sigma bonds and how many pi bonds?

    • A.0 sigma and 3 pi
    • B.3 sigma and 0 pi
    • C.1 sigma and 2 pi
    • D.2 sigma and 1 pi
    Show answerHide answer

    Correct answer: 1 sigma and 2 pi

    A triple bond contains 1 sigma bond and 2 pi bonds. The first bond between the two nitrogen atoms is always a sigma bond from head-on overlap, and the two remaining bonds are pi bonds formed by side-to-side overlap of the two perpendicular sets of p orbitals. This gives NX2\ce{N2} a total bond order of 3, which is why it is exceptionally strong and unreactive.

  10. When drawing a Lewis structure for a neutral molecule, which sequence of steps follows the standard rules?

    • A.Count total valence electrons, arrange the least electronegative atom (except H) as the central atom, form single bonds, then distribute remaining electrons as lone pairs to satisfy the octet rule, adding multiple bonds if needed
    • B.Assign formal charges first, then decide how many electrons the molecule has
    • C.Place the most electronegative atom in the center, then add bonds randomly until electrons run out
    • D.Always give every atom exactly 8 electrons before counting the total valence electrons
    Show answerHide answer

    Correct answer: Count total valence electrons, arrange the least electronegative atom (except H) as the central atom, form single bonds, then distribute remaining electrons as lone pairs to satisfy the octet rule, adding multiple bonds if needed

    The correct procedure is to first total the valence electrons from all atoms (adjusting for ionic charge), place the least electronegative atom (other than hydrogen) in the center, connect atoms with single bonds, then distribute the remaining electrons as lone pairs to complete octets, converting lone pairs into double or triple bonds when the central atom is short of an octet. Hydrogen is never central and holds only 2 electrons, while the central atom is typically the least electronegative because it shares electrons with more neighbors.

  11. Which guideline is part of the standard rules for writing valid Lewis structures?

    • A.Hydrogen is always the central atom because it has the lowest electronegativity
    • B.The total number of valence electrons should be ignored once bonds are drawn
    • C.Hydrogen atoms are usually placed on the outside (terminal positions) and hold a maximum of 2 electrons
    • D.Every atom in every molecule must have exactly 8 valence electrons with no exceptions
    Show answerHide answer

    Correct answer: Hydrogen atoms are usually placed on the outside (terminal positions) and hold a maximum of 2 electrons

    Hydrogen is placed in a terminal (outer) position and can hold at most 2 electrons, since it has only a 1s orbital and achieves a duet rather than an octet. Hydrogen is never the central atom. The octet rule has well-known exceptions (such as boron with 6 electrons or sulfur and phosphorus expanding past 8), and the running total of valence electrons must always match the electrons placed in the final structure.

  12. In molecular orbital theory, bond order = (bonding electrons - antibonding electrons) / 2. If the molecular oxygen OX2\ce{O2} has 8 electrons in valence bonding orbitals and 4 electrons in valence antibonding orbitals, what is its bond order?

    • A.3
    • B.2.5
    • C.1
    • D.2
    Show answerHide answer

    Correct answer: 2

    OX2\ce{O2} has a bond order of 2, corresponding to a double bond. Applying bond order = (bonding - antibonding)/2 gives (8−4)/2=2(8 - 4)/2 = 2. This double-bond character is consistent with experiment, and the molecular orbital picture also correctly predicts OX2\ce{O2}'s two unpaired electrons, which make it paramagnetic.

  13. The carbon-carbon bonds in benzene (CX6HX6\ce{C6H6}) are all identical and intermediate between a single and a double bond. What is the carbon-carbon bond order in benzene?

    • A.2.0
    • B.1.0
    • C.3.0
    • D.1.5
    Show answerHide answer

    Correct answer: 1.5

    Each carbon-carbon bond in benzene has a bond order of 1.5. Because of resonance, the six pi electrons are delocalized evenly around the ring, so each C-C linkage is an average of one single bond and one double bond: (1+2)/2=1.5(1 + 2)/2 = 1.5. This is why all six C-C bonds in benzene are equal in length, intermediate between a typical single and double bond.

  14. A carbon atom in methane (CHX4\ce{CH4}) forms four equivalent single bonds directed toward the corners of a tetrahedron with 109.5-degree bond angles. What is the hybridization of this carbon atom?

    • A.sp3dsp^{3}d
    • B.sp2sp^{2}
    • C.spsp
    • D.sp3sp^{3}
    Show answerHide answer

    Correct answer: sp3sp^{3}

    The carbon in methane is sp3sp^{3} hybridized. Mixing one 2s and three 2p orbitals produces four equivalent sp3sp^{3} hybrid orbitals that point toward the corners of a tetrahedron, giving the characteristic 109.5-degree bond angles. An sp3sp^{3} atom has a steric number of 4, meaning four regions of electron density (here, four bonding pairs) and no lone pairs.

  15. For an atom whose central atom has a steric number of 4 (four regions of electron density, whether bonds or lone pairs), what hybridization is assigned?

    • A.sp3sp^{3}
    • B.sp3d2sp^{3}d^{2}
    • C.spsp
    • D.sp2sp^{2}
    Show answerHide answer

    Correct answer: sp3sp^{3}

    A steric number of 4 corresponds to sp3sp^{3} hybridization. The steric number is the count of sigma bonds plus lone pairs on the central atom, and four regions of electron density require four hybrid orbitals, formed by combining one s and three p orbitals. This is why water (two bonds plus two lone pairs) and ammonia (three bonds plus one lone pair) are both described as sp3sp^{3}, even though their molecular shapes are bent and trigonal pyramidal.

  16. In the molecule ethyne (acetylene, H−C≡C−H\ce{H-C{\equiv}C-H}), what is the hybridization of each carbon atom?

    • A.sp3sp^{3}
    • B.sp2sp^{2}
    • C.sp3dsp^{3}d
    • D.spsp
    Show answerHide answer

    Correct answer: spsp

    Each carbon in acetylene is spsp hybridized. A carbon involved in a triple bond has a steric number of 2 (one bond to hydrogen and one sigma bond to the other carbon), so it mixes one s and one p orbital to form two spsp hybrids, leaving two unhybridized p orbitals to make the two pi bonds. This spsp hybridization gives the molecule its linear shape with 180-degree bond angles, in contrast to the sp2sp^{2} carbons of ethene and the sp3sp^{3} carbon of methane.

  17. Bond energy is the energy required to break one mole of a particular bond in the gas phase. Given approximate bond energies of C-C = 348 kJ/mol, C=C = 614 kJ/mol, and C≡C\ce{C{\equiv}C} = 839 kJ/mol, which statement about these carbon-carbon bonds is correct?

    • A.The triple bond is the weakest and longest of the three
    • B.All three bonds have the same bond energy because they are between the same elements
    • C.Bond energy decreases as more electron pairs are shared
    • D.As bond order increases from single to triple, bond energy increases and bond length decreases
    Show answerHide answer

    Correct answer: As bond order increases from single to triple, bond energy increases and bond length decreases

    As the carbon-carbon bond order rises from single to double to triple, the bond energy increases (348 to 614 to 839 kJ/mol) and the bond becomes shorter. Sharing more electron pairs pulls the nuclei closer and holds them more tightly, so higher bond order means a stronger, shorter bond that takes more energy to break. The triple bond is therefore the strongest and shortest, not the weakest, of the three.

  18. A covalent bond between two atoms is classified as polar covalent when the electronegativity difference between the bonded atoms falls within which approximate range?

    • A.0.0, indicating the electrons are shared exactly equally
    • B.Roughly 0.4 to 1.7, indicating unequal sharing of the bonding electrons
    • C.Greater than 3.3, which guarantees a metallic bond
    • D.Exactly 2.0 in every polar covalent compound
    Show answerHide answer

    Correct answer: Roughly 0.4 to 1.7, indicating unequal sharing of the bonding electrons

    Correct answer: roughly 0.4 to 1.7, indicating unequal sharing of the bonding electrons. A bond with an electronegativity difference of about zero is nonpolar covalent, a difference of roughly 0.4 to 1.7 produces a polar covalent bond with partial charges, and a difference above about 1.7 to 2.0 is generally treated as predominantly ionic. These cutoffs are guidelines rather than rigid boundaries.

  19. According to VSEPR theory, the water molecule (HX2O\ce{H2O}) has two bonding pairs and two lone pairs on the central oxygen atom. What is its resulting molecular geometry and approximate bond angle?

    • A.Linear, with a 180-degree bond angle
    • B.Trigonal planar, with a 120-degree bond angle
    • C.Bent (angular), with a bond angle of about 104.5 degrees
    • D.Tetrahedral, with a 109.5-degree bond angle
    Show answerHide answer

    Correct answer: Bent (angular), with a bond angle of about 104.5 degrees

    Correct answer: bent (angular), with a bond angle of about 104.5 degrees. The oxygen in water has four electron domains arranged tetrahedrally, but because two of those domains are lone pairs, the molecular shape considers only the atoms, giving a bent geometry. Lone-pair repulsion compresses the H-O-H angle below the ideal 109.5 degrees to roughly 104.5 degrees.

  20. A coordinate covalent (dative) bond differs from an ordinary covalent bond in which way?

    • A.Both shared electrons originate from a single atom rather than one electron from each atom
    • B.The two atoms transfer electrons completely, forming oppositely charged ions
    • C.No electrons are shared; the bond is held together purely by magnetic attraction
    • D.The bond can only form between two identical atoms of the same element
    Show answerHide answer

    Correct answer: Both shared electrons originate from a single atom rather than one electron from each atom

    Correct answer: both shared electrons originate from a single atom rather than one electron from each atom. In a coordinate covalent bond, one atom donates a lone pair that is shared with an atom or ion that has an empty orbital, such as the bond formed when ammonia donates its lone pair to a hydrogen ion to make the ammonium ion (NHX3+HX+→NHX4X+\ce{NH3 + H+ -> NH4+}). Once formed, a coordinate covalent bond is otherwise identical to any other covalent bond.

  21. For molecules of the form ABXn\ce{AB_{n}}, an overall molecular dipole moment depends on both bond polarity and molecular geometry. Why is carbon dioxide (O=C=O\ce{O=C=O}) nonpolar even though each C=O bond is polar?

    • A.The C=O bonds are actually nonpolar because carbon and oxygen have identical electronegativities
    • B.Carbon dioxide is bent, so the bond dipoles add together to give a large net dipole
    • C.The molecule is linear and symmetric, so the two equal bond dipoles point in opposite directions and cancel
    • D.Lone pairs on carbon create a dipole that exactly doubles the molecular polarity
    Show answerHide answer

    Correct answer: The molecule is linear and symmetric, so the two equal bond dipoles point in opposite directions and cancel

    Correct answer: the molecule is linear and symmetric, so the two equal bond dipoles point in opposite directions and cancel. Although each carbon-oxygen bond is polar, the linear O=C=O\ce{O=C=O} arrangement places the two bond dipoles 180 degrees apart with equal magnitude, so their vector sum is zero. Geometry can therefore make a molecule with polar bonds nonpolar overall.

  22. Boron trifluoride (BFX3\ce{BF3}) is an example of an exception to the octet rule. Which statement correctly describes the bonding around the central boron atom?

    • A.Boron is surrounded by only six bonding electrons (three bonds), an incomplete octet
    • B.Boron holds twelve electrons by using d orbitals to expand its octet
    • C.Boron has one unpaired electron, making BFX3\ce{BF3} an odd-electron radical
    • D.Boron forms three double bonds to fluorine to reach a full octet
    Show answerHide answer

    Correct answer: Boron is surrounded by only six bonding electrons (three bonds), an incomplete octet

    Correct answer: boron is surrounded by only six bonding electrons (three bonds), an incomplete octet. Boron has three valence electrons and commonly forms three single bonds, leaving it electron-deficient with only six electrons around it rather than eight. This electron deficiency makes BFX3\ce{BF3} a strong Lewis acid that readily accepts an electron pair.

  23. Lattice energy is the energy released when gaseous ions combine to form one mole of a solid ionic compound. Based on Coulomb's law, which pair of factors increases the magnitude of lattice energy?

    • A.Larger ionic radii and smaller ionic charges
    • B.Higher ionic charges and smaller distances between ion centers
    • C.Smaller ionic charges and larger distances between ion centers
    • D.Neutral atoms and the absence of any electrostatic attraction
    Show answerHide answer

    Correct answer: Higher ionic charges and smaller distances between ion centers

    Correct answer: higher ionic charges and smaller distances between ion centers. Lattice energy magnitude is proportional to the product of the ionic charges and inversely proportional to the distance between ion centers, so compounds with highly charged, small ions have the largest lattice energies. For example, MgO\ce{MgO} has a much greater lattice energy than NaCl\ce{NaCl} because its ions carry 2+\ce{2+}/2−\ce{2-} charges and are relatively small.

  24. For a given pair of bonded atoms, how does bond length generally relate to bond order (single versus double versus triple bond)?

    • A.Bond length increases as bond order increases
    • B.Bond length decreases as bond order increases
    • C.Bond length is identical for single, double, and triple bonds between the same atoms
    • D.Bond length depends only on temperature and not on bond order
    Show answerHide answer

    Correct answer: Bond length decreases as bond order increases

    Correct answer: bond length decreases as bond order increases. Higher bond order means more shared electron pairs pulling the nuclei closer together, so a triple bond is shorter than a double bond, which is shorter than a single bond between the same two atoms. This shortening also corresponds to a stronger, higher-energy bond.

  25. Phosphorus pentachloride (PClX5\ce{PCl5}) is a molecule in which the central phosphorus atom holds more than eight valence electrons. This expanded octet is possible because phosphorus is in which situation?

    • A.It is a second-period element that can promote electrons into 1s orbitals
    • B.It is a period 3 or higher element with accessible d orbitals (or low-lying orbitals) allowing more than eight electrons
    • C.It gains a net negative charge that forces an incomplete octet
    • D.It forms only ionic bonds, so the octet rule does not apply at all
    Show answerHide answer

    Correct answer: It is a period 3 or higher element with accessible d orbitals (or low-lying orbitals) allowing more than eight electrons

    Correct answer: it is a period 3 or higher element with accessible d orbitals (or low-lying orbitals) allowing more than eight electrons. Elements in the third period and below can accommodate an expanded octet, so phosphorus surrounds itself with ten electrons (five P-Cl bonds) in PClX5\ce{PCl5}. Second-period elements such as nitrogen cannot expand their octet because they lack available d orbitals.

Structure and Function (25)

  1. What molecular geometry is exhibited by a molecule with a steric number of 5 and one lone pair?

    • A.Trigonal bipyramidal
    • B.Square pyramidal
    • C.Seesaw
    • D.T-shaped
    Show answerHide answer

    Correct answer: Seesaw

    Correct answer: Seesaw. Explanation: A molecule with a steric number of 5 has a trigonal bipyramidal electron-pair geometry. With one lone pair (placed in an equatorial position to minimize repulsion), the four bonding pairs adopt a seesaw molecular geometry.

  2. What is the bond angle in a molecule with a T-shaped molecular geometry based on a trigonal bipyramidal electron pair geometry?

    • A.90 degrees
    • B.109.5 degrees
    • C.120 degrees
    • D.180 degrees
    Show answerHide answer

    Correct answer: 90 degrees

    Correct answer: 90 degrees. Explanation: In a T-shaped molecular geometry, which arises from a trigonal bipyramidal electron pair geometry with two lone pairs, the bond angles between the bonded atoms are approximately 90 degrees.

  3. In terms of molecular polarity, which molecule below is nonpolar despite having polar bonds?

    • A.Water (HX2O\ce{H2O})
    • B.Carbon dioxide (COX2\ce{CO2})
    • C.Ammonia (NHX3\ce{NH3})
    • D.Hydrogen sulfide (HX2S\ce{H2S})
    Show answerHide answer

    Correct answer: Carbon dioxide (COX2\ce{CO2})

    Correct answer: Carbon dioxide (COX2\ce{CO2}). Explanation: Carbon dioxide is nonpolar because it has a linear geometry where the dipole moments of the polar C=O\ce{C=O} bonds cancel out, resulting in no overall dipole moment.

  4. What electronic effect does the nitro group (−NOX2\ce{-NO2}) have when attached to a benzene ring?

    • A.Electron-donating by resonance
    • B.Electron-donating by induction
    • C.Electron-withdrawing by resonance
    • D.Electron-withdrawing by induction
    Show answerHide answer

    Correct answer: Electron-withdrawing by resonance

    Correct answer: Electron-withdrawing by resonance. Explanation: The nitro group is an electron-withdrawing group both by resonance and induction due to its strong electronegativity and the ability to stabilize negative charge via resonance when attached to a conjugated system like benzene.

  5. According to VSEPR theory, what is the molecular geometry of a central atom that is surrounded by four bonding pairs and no lone pairs?

    • A.Square planar
    • B.Octahedral
    • C.Trigonal planar
    • D.Tetrahedral
    Show answerHide answer

    Correct answer: Tetrahedral

    Tetrahedral is correct. When a central atom has four electron domains that are all bonding pairs and no lone pairs, valence shell electron pair repulsion (VSEPR) theory predicts the four pairs spread as far apart as possible, giving a tetrahedral shape with ideal bond angles of 109.5 degrees, as in methane (CHX4\ce{CH4}). Square planar and octahedral require six electron domains, so they do not apply to a four-domain center.

  6. A central atom has a steric number of 3, made up of three bonding domains and zero lone pairs. According to a standard VSEPR chart, what is its electron-domain geometry and bond angle?

    • A.Trigonal pyramidal, 107 degrees
    • B.Trigonal planar, 120 degrees
    • C.Linear, 180 degrees
    • D.Bent, 104.5 degrees
    Show answerHide answer

    Correct answer: Trigonal planar, 120 degrees

    Trigonal planar with 120-degree bond angles is correct. On a VSEPR chart, three electron domains with no lone pairs arrange themselves in a flat triangle around the central atom, giving 120-degree angles, as seen in BFX3\ce{BF3} and BClX3\ce{BCl3}. Trigonal pyramidal and bent both require at least one lone pair, and linear corresponds to only two domains.

  7. Using a molecular geometry chart, what shape does a molecule like carbon dioxide (COX2\ce{CO2}) adopt, given the central carbon has two bonding domains and no lone pairs?

    • A.Trigonal planar
    • B.Tetrahedral
    • C.Linear
    • D.Bent
    Show answerHide answer

    Correct answer: Linear

    Linear is correct. A molecular geometry chart shows that two electron domains with no lone pairs point in exactly opposite directions, producing a linear shape with a 180-degree bond angle. In COX2\ce{CO2} the two C=O double bonds each count as a single domain, so the molecule is linear. A bent shape only results when lone pairs are present on a two-bond center, as in water.

  8. The experimentally measured H-O-H bond angle in a water molecule is approximately which value, and why is it less than the ideal tetrahedral angle?

    • A.120 degrees, because oxygen is trigonal planar
    • B.109.5 degrees, because the four electron domains are equivalent
    • C.107 degrees, because of a single lone pair on oxygen
    • D.104.5 degrees, because two lone pairs on oxygen compress the bonding angle
    Show answerHide answer

    Correct answer: 104.5 degrees, because two lone pairs on oxygen compress the bonding angle

    104.5 degrees, caused by lone-pair repulsion, is correct. Oxygen in water has four electron domains (two bonding pairs and two lone pairs), so the underlying electron geometry is tetrahedral, but the two lone pairs push harder on the bonding pairs than the bonding pairs push on each other. This compresses the H-O-H angle from the ideal 109.5 degrees down to about 104.5 degrees. The 107-degree value applies to ammonia, which has only one lone pair.

  9. To determine the molecular geometry of a molecule using VSEPR, which two quantities must first be established for the central atom?

    • A.The atomic mass and the formal charge
    • B.The boiling point and the dipole moment
    • C.The number of protons and neutrons
    • D.The number of bonding domains and the number of lone pairs
    Show answerHide answer

    Correct answer: The number of bonding domains and the number of lone pairs

    The number of bonding domains and the number of lone pairs is correct. To determine molecular geometry, you draw the Lewis structure, then count the electron domains around the central atom, separating them into bonding pairs and lone pairs. The total gives the electron geometry, and subtracting the lone pairs gives the molecular shape. Atomic mass, proton count, and physical properties such as boiling point do not set the geometry.

  10. A central atom has four electron domains: three bonding pairs and one lone pair. What is the resulting molecular geometry?

    • A.Trigonal pyramidal
    • B.Trigonal planar
    • C.Bent
    • D.Tetrahedral
    Show answerHide answer

    Correct answer: Trigonal pyramidal

    Trigonal pyramidal is correct. With four electron domains the electron geometry is tetrahedral, but replacing one bonding pair with a lone pair removes one visible vertex, leaving a three-legged pyramid shape, as in ammonia (NHX3\ce{NH3}) with bond angles near 107 degrees. A pure tetrahedral shape requires four bonding pairs and no lone pair, and bent requires two lone pairs.

  11. Which statement best explains the difference between electron-domain geometry and molecular geometry?

    • A.Electron-domain geometry applies only to ionic compounds
    • B.They are identical terms with no real difference
    • C.Electron-domain geometry counts all bonding pairs and lone pairs, while molecular geometry describes only the arrangement of bonded atoms
    • D.Molecular geometry includes lone pairs but electron-domain geometry ignores them
    Show answerHide answer

    Correct answer: Electron-domain geometry counts all bonding pairs and lone pairs, while molecular geometry describes only the arrangement of bonded atoms

    Counting all domains versus only bonded atoms is the correct distinction. Electron-domain (or electron-pair) geometry is set by the total number of bonding and lone-pair domains, while molecular geometry describes the shape outlined by the nuclei of the bonded atoms only. For example, water has a tetrahedral electron geometry but a bent molecular geometry because its two lone pairs are not counted as atoms.

  12. In a polar covalent bond, in which direction does the bond dipole moment vector point?

    • A.From the less electronegative atom toward the more electronegative atom
    • B.From the heavier atom toward the lighter atom
    • C.From the more electronegative atom toward the less electronegative atom
    • D.Perpendicular to the bond axis
    Show answerHide answer

    Correct answer: From the less electronegative atom toward the more electronegative atom

    From the less electronegative atom toward the more electronegative atom is correct. The more electronegative atom pulls bonding electrons closer, gaining a partial negative charge, while the other atom is left partially positive. By convention the dipole moment arrow points from the partial-positive end toward the partial-negative (more electronegative) end. It has nothing to do with atomic mass and lies along the bond, not perpendicular to it.

  13. The dipole moment of a molecule is commonly reported in which unit?

    • A.Mole
    • B.Debye
    • C.Joule
    • D.Pascal
    Show answerHide answer

    Correct answer: Debye

    The debye is correct. A dipole moment equals the magnitude of the separated charge times the distance between the charges, and chemists report it in debye units (1 D is about 3.34×10−303.34 \times 10^{-30} coulomb-meters). A larger debye value means greater charge separation and a more polar molecule. The joule measures energy, the pascal measures pressure, and the mole counts particles, so none of these describe a dipole moment.

  14. A molecule contains only polar bonds yet has a net dipole moment of zero. Which factor is responsible for this result?

    • A.The presence of lone pairs on the central atom
    • B.The absence of any electronegativity difference between bonded atoms
    • C.A symmetric arrangement of bonds that causes the individual bond dipoles to cancel
    • D.A very large molar mass
    Show answerHide answer

    Correct answer: A symmetric arrangement of bonds that causes the individual bond dipoles to cancel

    Symmetric bond arrangement causing cancellation is correct. When polar bonds point in directions that balance one another, such as the three B-F bonds of trigonal planar BFX3\ce{BF3} set 120 degrees apart or the two opposed C=O bonds in linear COX2\ce{CO2}, their dipole vectors sum to zero. The molecule is therefore nonpolar overall even though each bond is polar. If there were no electronegativity difference, the bonds would not be polar in the first place.

  15. To decide whether a molecule is polar, which two-part test should be applied?

    • A.Check whether the bonds are polar, then check whether the molecular shape leaves the bond dipoles uncanceled
    • B.Count the total number of atoms and compare to 10
    • C.Check only the molar mass and the boiling point
    • D.Determine only whether the central atom is a metal
    Show answerHide answer

    Correct answer: Check whether the bonds are polar, then check whether the molecular shape leaves the bond dipoles uncanceled

    Checking bond polarity and then molecular symmetry is the correct two-step test. A molecule is polar only if it contains polar bonds and its geometry does not arrange those bond dipoles symmetrically enough to cancel. Water is polar because its bent shape leaves a net dipole, while COX2\ce{CO2} is nonpolar because its linear shape cancels the two bond dipoles. Molar mass, atom count, and metal versus nonmetal classification do not determine molecular polarity directly.

  16. Which of the following molecules is nonpolar overall because its symmetric shape causes the bond dipoles to cancel?

    • A.Hydrogen chloride (HCl\ce{HCl})
    • B.Carbon tetrachloride (CClX4\ce{CCl4})
    • C.Chloromethane (CHX3Cl\ce{CH3Cl})
    • D.Sulfur dioxide (SOX2\ce{SO2})
    Show answerHide answer

    Correct answer: Carbon tetrachloride (CClX4\ce{CCl4})

    Carbon tetrachloride (CClX4\ce{CCl4}) is correct. Although each C-Cl bond is polar, the four bonds point toward the corners of a symmetric tetrahedron, so their dipole vectors sum to zero and the molecule is nonpolar. HCl\ce{HCl} has a single polar bond and is clearly polar, CHX3Cl\ce{CH3Cl} lacks the symmetry to cancel its dipoles, and SOX2\ce{SO2} is bent with a lone pair on sulfur, giving it a net dipole.

  17. A central atom is bonded to two atoms and also carries two lone pairs, giving a bent molecular shape. How does the presence of the lone pairs affect the molecule's overall polarity compared with a linear molecule of the same atoms?

    • A.The bent shape prevents the bond dipoles from canceling, so the molecule is polar
    • B.The bent shape always cancels the bond dipoles, making it nonpolar
    • C.The molecule becomes ionic rather than covalent
    • D.Lone pairs have no effect on polarity
    Show answerHide answer

    Correct answer: The bent shape prevents the bond dipoles from canceling, so the molecule is polar

    The bent shape makes the molecule polar is correct. In a linear ABX2\ce{AB2} molecule the two bond dipoles point in opposite directions and cancel, but bending the molecule (as lone pairs do in water or SOX2\ce{SO2}) means the two bond dipoles no longer oppose each other directly, leaving a net dipole moment. This is why water is polar while linear COX2\ce{CO2} is not. Lone pairs strongly influence both shape and polarity, and the bonding remains covalent.

  18. A central sulfur atom in SFX6\ce{SF6} is bonded to six fluorine atoms with no lone pairs on sulfur. According to VSEPR theory, what is the molecular geometry of SFX6\ce{SF6}?

    • A.Octahedral
    • B.Square planar
    • C.Trigonal bipyramidal
    • D.Square pyramidal
    Show answerHide answer

    Correct answer: Octahedral

    The molecular geometry of SFX6\ce{SF6} is octahedral. With six bonding domains and zero lone pairs (steric number 6), the six fluorine atoms arrange themselves symmetrically around sulfur with 90-degree bond angles, which is the defining octahedral shape. Square planar and square pyramidal arise only when one or two of those six domains are lone pairs, and trigonal bipyramidal corresponds to a steric number of 5.

  19. A central atom has a steric number of 5 with two of its five electron domains being lone pairs. According to VSEPR theory, what molecular geometry results?

    • A.T-shaped
    • B.Seesaw
    • C.Trigonal planar
    • D.Linear
    Show answerHide answer

    Correct answer: T-shaped

    The resulting molecular geometry is T-shaped. A steric number of 5 gives a trigonal bipyramidal electron-domain geometry; placing two lone pairs in the larger equatorial positions to minimize repulsion leaves the three bonded atoms arranged in a T shape. A seesaw shape arises from only one lone pair, while trigonal planar and linear correspond to lower steric numbers.

  20. Within a single period of the periodic table, how does increasing electronegativity difference between two bonded atoms generally affect the polarity of the covalent bond between them?

    • A.A larger electronegativity difference increases the bond's polarity by producing a greater separation of partial charge
    • B.A larger electronegativity difference decreases the bond's polarity by sharing electrons more evenly
    • C.Electronegativity difference has no effect on bond polarity, only on bond length
    • D.A larger electronegativity difference always converts the bond into a nonpolar covalent bond
    Show answerHide answer

    Correct answer: A larger electronegativity difference increases the bond's polarity by producing a greater separation of partial charge

    A larger electronegativity difference increases the bond's polarity by producing a greater separation of partial charge. The more electronegative atom pulls the shared electron pair toward itself, creating larger partial negative and partial positive charges on the two atoms. A small difference yields a nearly nonpolar bond, so the relationship is direct, not absent or inverted.

  21. The ammonia molecule (NHX3\ce{NH3}) has a central nitrogen with three bonding pairs and one lone pair. What is its molecular geometry and approximate bond angle?

    • A.Trigonal pyramidal with bond angles of about 107 degrees
    • B.Trigonal planar with bond angles of exactly 120 degrees
    • C.Tetrahedral with bond angles of exactly 109.5 degrees
    • D.Bent with bond angles of about 104.5 degrees
    Show answerHide answer

    Correct answer: Trigonal pyramidal with bond angles of about 107 degrees

    Ammonia is trigonal pyramidal with bond angles of about 107 degrees. The four electron domains give a tetrahedral electron-domain geometry, but because one domain is a lone pair, the three N-H bonds form a pyramid. The lone pair repels the bonding pairs slightly more than they repel one another, compressing the ideal 109.5-degree tetrahedral angle to roughly 107 degrees.

  22. When a methoxy group (−OCHX3\ce{-OCH3}) is attached to a benzene ring, how does it primarily influence the ring through resonance?

    • A.It donates electron density into the ring through resonance, activating it toward electrophilic substitution
    • B.It withdraws electron density from the ring through resonance, deactivating it
    • C.It has no resonance interaction with the ring and acts only through induction
    • D.It breaks the aromaticity of the ring by disrupting the delocalized pi system
    Show answerHide answer

    Correct answer: It donates electron density into the ring through resonance, activating it toward electrophilic substitution

    The methoxy group donates electron density into the ring through resonance, activating it toward electrophilic substitution. A lone pair on the oxygen overlaps with the ring's pi system, increasing electron density (especially at the ortho and para positions). This makes −OCHX3\ce{-OCH3} an activating, ortho/para-directing substituent, in contrast to electron-withdrawing groups like nitro that deactivate the ring.

  23. How does the molecular shape of carbon dioxide (COX2\ce{CO2}) result in a nonpolar molecule even though each C=O bond is polar?

    • A.The linear, symmetric arrangement points the two bond dipoles in opposite directions so they cancel to a net dipole of zero
    • B.The bent shape places the two bond dipoles at an angle so they reinforce into a large net dipole
    • C.The oxygen atoms share electrons equally with carbon, so the C=O bonds are actually nonpolar
    • D.The molecule has a trigonal planar shape that distributes the dipoles unevenly
    Show answerHide answer

    Correct answer: The linear, symmetric arrangement points the two bond dipoles in opposite directions so they cancel to a net dipole of zero

    COX2\ce{CO2} is nonpolar because its linear, symmetric arrangement points the two bond dipoles in opposite directions so they cancel to a net dipole of zero. The central carbon has two bonding domains and no lone pairs, giving a 180-degree O=C=O geometry. Each C=O dipole is equal in magnitude but opposite in direction, so their vector sum is zero despite the individual bonds being polar.

  24. Two molecules have the same atoms but different three-dimensional shapes, giving them different chemical and physical properties. This relationship between three-dimensional structure and behavior is best described by which principle?

    • A.Structure determines function: a molecule's shape governs how it interacts with other molecules
    • B.Function determines structure: a molecule rearranges its atoms to perform a required task
    • C.Structure and function are independent properties with no predictable relationship
    • D.Only the molecular formula, not the shape, determines a molecule's properties
    Show answerHide answer

    Correct answer: Structure determines function: a molecule's shape governs how it interacts with other molecules

    The relationship is best described by the principle that structure determines function: a molecule's shape governs how it interacts with other molecules. Differences in geometry change polarity, the ability to fit into binding sites, and intermolecular contacts, which in turn change reactivity and physical behavior. The molecular formula alone is insufficient because identical formulas can adopt different shapes with distinct properties.

  25. A central atom is surrounded by five bonding pairs and no lone pairs, as in phosphorus pentachloride (PClX5\ce{PCl5}). What molecular geometry and set of bond angles does VSEPR predict?

    • A.Trigonal bipyramidal, with 120-degree angles in the equatorial plane and 90-degree angles to the axial positions
    • B.Square pyramidal, with all bond angles equal to 90 degrees
    • C.Octahedral, with all bond angles equal to 90 degrees
    • D.Tetrahedral, with all bond angles equal to 109.5 degrees
    Show answerHide answer

    Correct answer: Trigonal bipyramidal, with 120-degree angles in the equatorial plane and 90-degree angles to the axial positions

    VSEPR predicts a trigonal bipyramidal geometry, with 120-degree angles in the equatorial plane and 90-degree angles to the axial positions. Five bonding domains and no lone pairs (steric number 5) split the positions into three equatorial atoms separated by 120 degrees and two axial atoms perpendicular to that plane. Square pyramidal and octahedral require a steric number of 6, and tetrahedral requires a steric number of 4.

Intermolecular Forces (25)

  1. Which intermolecular force is primarily responsible for the high boiling point of water compared to hydrogen sulfide?

    • A.London dispersion forces
    • B.Dipole-dipole interactions
    • C.Hydrogen bonding
    • D.Ionic bonding
    Show answerHide answer

    Correct answer: Hydrogen bonding

    Correct answer: Hydrogen bonding. Explanation: Hydrogen bonding, a strong type of dipole-dipole interaction that occurs when hydrogen is bonded to highly electronegative atoms (like oxygen in water), is responsible for the high boiling point of water compared to molecules like hydrogen sulfide, which mainly exhibit weaker dipole-dipole interactions.

  2. Which property is NOT characteristic of gases compared to liquids and solids?

    • A.Indefinite shape
    • B.Indefinite volume
    • C.Low compressibility
    • D.High expansibility
    Show answerHide answer

    Correct answer: Low compressibility

    Correct answer: Low compressibility. Explanation: Gases are highly compressible due to the large amount of space between particles, unlike liquids and solids which are relatively incompressible.

  3. What will increase the solubility of a gas in a liquid?

    • A.Increasing the temperature
    • B.Decreasing the temperature
    • C.Decreasing the pressure above the solution
    • D.Adding a nonpolar solute
    Show answerHide answer

    Correct answer: Decreasing the temperature

    Correct answer: Decreasing the temperature. Explanation: Gas solubility increases as temperature decreases, because the dissolved gas molecules lose kinetic energy and are less likely to escape the solution. (Higher pressure of the gas above the liquid also increases solubility, per Henry's Law.)

  4. Which factor does NOT affect the rate of dissolution of a solute in a solvent?

    • A.Temperature of the solvent
    • B.Surface area of the solute
    • C.Agitation of the solution
    • D.Color of the solute
    Show answerHide answer

    Correct answer: Color of the solute

    Correct answer: Color of the solute. Explanation: The color of the solute does not influence the rate of dissolution, whereas temperature, surface area, and agitation all do.

  5. Raoult's Law applies to which type of solutions?

    • A.Non-ideal solutions
    • B.Ideal solutions
    • C.Solutions with volatile solutes only
    • D.Electrolytic solutions
    Show answerHide answer

    Correct answer: Ideal solutions

    Correct answer: Ideal solutions. Explanation: Raoult's Law states that the partial vapor pressure of each component in an ideal solution is directly proportional to its mole fraction. It applies to ideal solutions, where interactions between different molecules are similar to those between similar molecules.

  6. What is the effect of adding a non-volatile solute to a solvent on the boiling point of the solvent?

    • A.It decreases the boiling point.
    • B.It increases the boiling point.
    • C.It does not change the boiling point.
    • D.It decreases then increases the boiling point.
    Show answerHide answer

    Correct answer: It increases the boiling point.

    Correct answer: It increases the boiling point. Explanation: Adding a non-volatile solute to a solvent increases the boiling point of the solution, a phenomenon known as boiling point elevation, which is due to the lowering of the vapor pressure.

  7. In terms of molecular movement, how do gases differ from liquids?

    • A.Molecules in gases move slower than in liquids.
    • B.Molecules in gases are more closely packed than in liquids.
    • C.Molecules in gases move faster and are further apart than in liquids.
    • D.There is no significant difference in molecular movement.
    Show answerHide answer

    Correct answer: Molecules in gases move faster and are further apart than in liquids.

    Correct answer: Molecules in gases move faster and are further apart than in liquids. Explanation: In gases, molecules move faster and are spaced further apart compared to liquids, leading to higher kinetic energy and lower intermolecular forces.

  8. What is true about the vapor pressure of a solution containing a non-volatile solute?

    • A.It is higher than the vapor pressure of the pure solvent.
    • B.It is lower than the vapor pressure of the pure solvent.
    • C.It is equal to the vapor pressure of the pure solvent.
    • D.Vapor pressure is independent of the presence of a non-volatile solute.
    Show answerHide answer

    Correct answer: It is lower than the vapor pressure of the pure solvent.

    Correct answer: It is lower than the vapor pressure of the pure solvent. Explanation: The presence of a non-volatile solute reduces the vapor pressure of a solution relative to the pure solvent due to the reduction in the mole fraction of the solvent, known as vapor pressure lowering.

  9. What describes the critical point on a phase diagram?

    • A.The temperature and pressure above which a liquid can no longer exist.
    • B.The lowest temperature at which a substance can exist in liquid form.
    • C.The condition under which all three phases exist in equilibrium.
    • D.The maximum density point for any substance.
    Show answerHide answer

    Correct answer: The temperature and pressure above which a liquid can no longer exist.

    Correct answer: The temperature and pressure above which a liquid can no longer exist. Explanation: The critical point marks the temperature and pressure above which distinct liquid and gas phases no longer exist; beyond it the substance becomes a single supercritical fluid.

  10. Which list correctly ranks intermolecular forces from strongest to weakest for comparably sized molecules?

    • A.Hydrogen bonding > ion-dipole > London dispersion > dipole-dipole
    • B.Ion-dipole > hydrogen bonding > dipole-dipole > London dispersion
    • C.London dispersion > dipole-dipole > hydrogen bonding > ion-dipole
    • D.Dipole-dipole > hydrogen bonding > ion-dipole > London dispersion
    Show answerHide answer

    Correct answer: Ion-dipole > hydrogen bonding > dipole-dipole > London dispersion

    Ion-dipole > hydrogen bonding > dipole-dipole > London dispersion is the correct order of strength when molecules are similar in size. Ion-dipole forces (between an ion and a polar molecule, as when NaCl\ce{NaCl} dissolves in water) are strongest; hydrogen bonding is the strongest force among neutral pure liquids; ordinary dipole-dipole forces are weaker; and London dispersion forces, present in all substances, are the weakest. This size caveat matters because in very large molecules dispersion forces can overtake the others.

  11. Hydrogen bonding occurs only when a hydrogen atom is directly bonded to which set of atoms?

    • A.Chlorine, bromine, or iodine
    • B.Nitrogen, oxygen, or fluorine
    • C.Boron, silicon, or selenium
    • D.Carbon, sulfur, or phosphorus
    Show answerHide answer

    Correct answer: Nitrogen, oxygen, or fluorine

    Nitrogen, oxygen, or fluorine are the only atoms that, when directly bonded to hydrogen, produce a true hydrogen bond. These three are small and highly electronegative, so the H-N, H-O, and H-F bonds are strongly polarized, leaving the hydrogen partially positive enough to attract a lone pair on an N, O, or F of a neighboring molecule. Hydrogen attached to carbon or chlorine does not meet the electronegativity-plus-small-size requirement, so molecules like CHX4\ce{CH4} and HCl\ce{HCl} do not hydrogen bond.

  12. Two nonpolar substances, FX2\ce{F2} and IX2\ce{I2}, are compared at room temperature. Why is IX2\ce{I2} a solid while FX2\ce{F2} is a gas?

    • A.IX2\ce{I2} molecules form hydrogen bonds that FX2\ce{F2} cannot
    • B.IX2\ce{I2} has far more electrons, giving it much larger London dispersion forces
    • C.IX2\ce{I2} is polar while FX2\ce{F2} is nonpolar
    • D.IX2\ce{I2} is ionic whereas FX2\ce{F2} is covalent
    Show answerHide answer

    Correct answer: IX2\ce{I2} has far more electrons, giving it much larger London dispersion forces

    IX2\ce{I2} has far more electrons and a larger, more polarizable electron cloud, producing much stronger London dispersion forces than FX2\ce{F2}. Both halogens are nonpolar diatomics whose only intermolecular force is dispersion, but dispersion strength grows with the number of electrons and molecular size, so the heavier IX2\ce{I2} has a high enough boiling point to be a solid while the light FX2\ce{F2} stays a gas. Neither halogen can hydrogen bond, and both are nonpolar, ruling out the other explanations.

  13. Acetone (CHX3COCHX3\ce{CH3COCH3}) has no N-H, O-H, or F-H bonds yet boils well above similar-mass nonpolar molecules. Which intermolecular force best explains this?

    • A.Metallic bonding
    • B.Dipole-dipole attractions arising from its polar C=O bond
    • C.Ion-dipole forces between neutral acetone molecules
    • D.Hydrogen bonding between acetone molecules
    Show answerHide answer

    Correct answer: Dipole-dipole attractions arising from its polar C=O bond

    Dipole-dipole attractions from acetone's polar carbonyl (C=O) bond raise its boiling point relative to nonpolar molecules of similar mass. Because the carbon-oxygen double bond is strongly polar, each acetone molecule has a permanent dipole, and these partial-positive and partial-negative ends attract neighboring molecules. Acetone cannot hydrogen bond with itself because its hydrogens are attached only to carbon, not to N, O, or F.

  14. Comparing two liquids of similar molar mass, the one with stronger intermolecular forces will generally show which combination of properties?

    • A.Higher vapor pressure and higher viscosity
    • B.Lower vapor pressure and higher viscosity
    • C.Lower vapor pressure and lower viscosity
    • D.Higher vapor pressure and lower viscosity
    Show answerHide answer

    Correct answer: Lower vapor pressure and higher viscosity

    Lower vapor pressure and higher viscosity both signal stronger intermolecular forces. Strong attractions hold molecules in the liquid, so fewer escape into the vapor phase (low vapor pressure) and the molecules resist flowing past one another (high viscosity). Weaker forces give the opposite: more molecules escape easily (high vapor pressure) and the liquid flows readily (low viscosity), so pairing high vapor pressure with high viscosity is internally inconsistent.

  15. Why does water exhibit an unusually high surface tension compared with most other common liquids of similar molar mass?

    • A.Its molecules are held together by strong London dispersion forces due to many electrons
    • B.Its extensive hydrogen bonding pulls surface molecules strongly inward and together
    • C.It is a nonpolar liquid that minimizes contact with air
    • D.Its low molar mass lets molecules pack tightly at the surface
    Show answerHide answer

    Correct answer: Its extensive hydrogen bonding pulls surface molecules strongly inward and together

    Extensive hydrogen bonding is the answer. Surface tension reflects the inward cohesive pull on molecules at a liquid's surface; water's network of strong O-H...O hydrogen bonds creates a large net inward force, giving it a much higher surface tension than liquids that rely only on weaker dispersion or dipole-dipole forces. Dispersion forces in water are minor, water is polar, and low molar mass alone does not raise surface tension.

  16. Water rises higher in a narrow glass capillary tube than a wide one. This capillary action depends on which combination of forces?

    • A.Adhesion between water and glass together with cohesion among water molecules
    • B.Only the cohesive hydrogen bonds among water molecules
    • C.Gravitational attraction overcoming all intermolecular forces
    • D.Ionic attraction between water and the silica lattice
    Show answerHide answer

    Correct answer: Adhesion between water and glass together with cohesion among water molecules

    Adhesion to glass combined with cohesion among water molecules is correct. Capillary rise occurs because water adheres to the polar glass surface (adhesive forces) while hydrogen bonding holds the water column together (cohesive forces); the narrower the tube, the higher the rise. Cohesion alone, gravity, or ionic bonding does not account for the rise.

  17. Among the noble gases He\ce{He}, Ne\ce{Ne}, Ar\ce{Ar}, and Xe\ce{Xe}, why does xenon have the highest boiling point?

    • A.Xenon is the only one capable of hydrogen bonding
    • B.Xenon atoms are polar while the others are nonpolar
    • C.Xenon's larger, more polarizable electron cloud produces the strongest London dispersion forces
    • D.Xenon forms permanent dipole-dipole attractions with neighbors
    Show answerHide answer

    Correct answer: Xenon's larger, more polarizable electron cloud produces the strongest London dispersion forces

    Xenon's larger, more polarizable electron cloud giving the strongest London dispersion forces is correct. All noble gases are nonpolar single atoms, so dispersion is their only intermolecular force; the heavier the atom, the more electrons and the greater the polarizability, producing stronger temporary dipoles and a higher boiling point. Noble gases form no hydrogen bonds or permanent dipoles.

  18. n-Pentane and neopentane (2,2-dimethylpropane) have identical molar masses, yet n-pentane boils higher. What is the best explanation?

    • A.n-Pentane is polar while neopentane is nonpolar
    • B.Neopentane can hydrogen bond, lowering its boiling point
    • C.The linear shape of n-pentane allows greater surface contact and stronger dispersion forces
    • D.Neopentane has a much higher molar mass
    Show answerHide answer

    Correct answer: The linear shape of n-pentane allows greater surface contact and stronger dispersion forces

    The greater surface contact of linear n-pentane producing stronger dispersion forces is correct. For isomers of equal mass, molecular shape governs London dispersion strength: the extended linear chain of n-pentane offers more surface area for contact between molecules than the compact, nearly spherical neopentane, so its dispersion forces and boiling point are higher. The molecules are nonpolar, neither hydrogen bonds, and their masses are equal.

  19. Iodine readily dissolves in nonpolar carbon tetrachloride but only sparingly in water. Which principle best explains this observation?

    • A."Like dissolves like": nonpolar IX2\ce{I2} mixes with nonpolar CClX4\ce{CCl4} through compatible dispersion forces
    • B.Iodine hydrogen bonds strongly with carbon tetrachloride
    • C.Water has weaker intermolecular forces than carbon tetrachloride
    • D.Carbon tetrachloride is more polar than water
    Show answerHide answer

    Correct answer: "Like dissolves like": nonpolar IX2\ce{I2} mixes with nonpolar CClX4\ce{CCl4} through compatible dispersion forces

    "Like dissolves like," with nonpolar IX2\ce{I2} mixing with nonpolar CClX4\ce{CCl4}, is correct. A solute dissolves best in a solvent with similar polarity and intermolecular forces; nonpolar iodine interacts well through dispersion forces with nonpolar CClX4\ce{CCl4}, but cannot disrupt water's strong hydrogen-bonding network. Iodine does not hydrogen bond, water's forces are stronger, and CClX4\ce{CCl4} is less polar than water.

  20. Why does dissolving sodium chloride in water release energy as the ions become surrounded by water molecules?

    • A.Hydrogen bonds form directly between NaX+\ce{Na+} and ClX−\ce{Cl-} ions
    • B.Ion-dipole attractions form between the ions and the polar water molecules
    • C.London dispersion forces between ions and water dominate the process
    • D.Covalent bonds form between the ions and oxygen atoms of water
    Show answerHide answer

    Correct answer: Ion-dipole attractions form between the ions and the polar water molecules

    Ion-dipole attractions between the ions and polar water molecules is correct. When an ionic compound dissolves, the partial charges on polar water molecules orient toward the ions, surrounding each ion in a hydration shell; these ion-dipole interactions are relatively strong and release energy (hydration energy). Hydrogen bonding, dispersion, and new covalent bonds do not describe ion solvation.

  21. Ethanol (CX2HX5OH\ce{C2H5OH}) and dimethyl ether (CHX3OCHX3\ce{CH3OCH3}) share the same molecular formula, yet ethanol boils far higher. Why?

    • A.Ethanol is ionic whereas dimethyl ether is covalent
    • B.Dimethyl ether has much stronger London dispersion forces
    • C.Ethanol's O-H group lets it form hydrogen bonds, which the ether cannot
    • D.Ethanol has a significantly larger molar mass
    Show answerHide answer

    Correct answer: Ethanol's O-H group lets it form hydrogen bonds, which the ether cannot

    Ethanol's O-H group allowing hydrogen bonding is correct. Although both isomers have the same formula and mass, only ethanol has a hydrogen atom bonded directly to oxygen, enabling strong hydrogen bonds between molecules; dimethyl ether has no O-H bond and relies on weaker dipole-dipole forces, so it boils much lower. Neither is ionic, dispersion is comparable, and the masses are equal.

  22. According to Henry's law, how does the solubility of a gas in a liquid change when the partial pressure of that gas above the liquid is increased?

    • A.Solubility decreases proportionally with pressure
    • B.Solubility increases in direct proportion to the partial pressure
    • C.Solubility is unaffected by pressure
    • D.Solubility increases only above a critical pressure threshold
    Show answerHide answer

    Correct answer: Solubility increases in direct proportion to the partial pressure

    Solubility increasing in direct proportion to partial pressure is correct. Henry's law states that the concentration of a dissolved gas is directly proportional to the partial pressure of that gas above the solution, which is why carbonated beverages hold more COX2\ce{CO2} under pressure. Solubility does not decrease, remain constant, or require a threshold.

  23. Adding antifreeze (ethylene glycol) to a car radiator lowers the freezing point of the water. This colligative effect occurs because the dissolved solute does what?

    • A.Raises the freezing point by strengthening intermolecular forces
    • B.Disrupts orderly crystal formation, requiring a lower temperature for the solvent to freeze
    • C.Reacts chemically with water to form a new lower-melting compound
    • D.Has no real effect; the change is due to pressure
    Show answerHide answer

    Correct answer: Disrupts orderly crystal formation, requiring a lower temperature for the solvent to freeze

    Disrupting orderly crystal formation so a lower temperature is needed to freeze is correct. A nonvolatile solute interferes with the solvent molecules' ability to arrange into a solid lattice, so the freezing point is depressed; freezing-point depression depends on the number of dissolved particles, not their identity. The solute lowers (not raises) the freezing point, no reaction is required, and the effect is real and concentration-dependent.

  24. Dry ice (solid COX2\ce{CO2}) converts directly to a gas at room pressure rather than melting to a liquid first. What does this behavior reveal about COX2\ce{CO2}'s intermolecular forces?

    • A.They are weak nonpolar dispersion forces, allowing sublimation at ordinary pressure
    • B.They are strong hydrogen bonds that prevent a liquid phase
    • C.They are ionic attractions that require very high temperature to break
    • D.They are strong dipole-dipole forces from COX2\ce{CO2}'s net dipole
    Show answerHide answer

    Correct answer: They are weak nonpolar dispersion forces, allowing sublimation at ordinary pressure

    Weak nonpolar dispersion forces allowing sublimation is correct. COX2\ce{CO2} is a linear nonpolar molecule held together only by relatively weak London dispersion forces, and its phase diagram places the liquid region above atmospheric pressure, so at ordinary pressure the solid sublimes directly to gas. COX2\ce{CO2} forms no hydrogen bonds, is not ionic, and has no net dipole.

  25. Honey is far more viscous than water at the same temperature. What is the primary reason for honey's high viscosity?

    • A.Honey molecules are nonpolar and slide past one another easily
    • B.Extensive hydrogen bonding among its sugar molecules resists flow
    • C.Honey has weaker intermolecular forces than water
    • D.Viscosity depends only on temperature, not intermolecular forces
    Show answerHide answer

    Correct answer: Extensive hydrogen bonding among its sugar molecules resists flow

    Extensive hydrogen bonding among its sugar molecules is correct. Viscosity measures a liquid's resistance to flow and increases with stronger intermolecular attractions; the many hydroxyl groups on dissolved sugars in honey form abundant hydrogen bonds that strongly resist molecules sliding past one another. Honey is polar, its forces are stronger than water's, and viscosity does depend on intermolecular forces as well as temperature.

Reactions (25)

  1. What is the mass in grams of sodium chloride that can be produced from the complete reaction of 85 grams of sodium with chlorine gas?

    • A.85 grams
    • B.216 grams
    • C.50 grams
    • D.121 grams
    Show answerHide answer

    Correct answer: 216 grams

    Correct answer: 216 grams. Explanation: The reaction is 2 Na+ClX2→2 NaCl\ce{2Na + Cl2 -> 2NaCl}. Sodium has a molar mass of about 23 g/mol, so 85 grams of Na\ce{Na} is about 8523=3.70\frac{85}{23} = 3.70 moles, which produces 3.70 moles of NaCl\ce{NaCl}. Since the molar mass of NaCl\ce{NaCl} is about 58.5 g/mol, 3.70×58.5≈2163.70 \times 58.5 \approx 216 grams.

  2. A reaction requires 0.75 moles of copper (II) sulfate. How many grams of copper (II) sulfate are necessary?

    • A.120 grams
    • B.150 grams
    • C.180 grams
    • D.240 grams
    Show answerHide answer

    Correct answer: 120 grams

    Correct answer: 120 grams. Explanation: The molar mass of CuSOX4\ce{CuSO4} (copper (II) sulfate) is approximately 160 g/mol. For 0.75 moles, the mass required is 0.75×160=1200.75 \times 160 = 120 grams.

  3. If 5.0 moles of propane (CX3HX8\ce{C3H8}) are burned completely in excess oxygen, how many moles of carbon dioxide are produced?

    • A.10 moles
    • B.15 moles
    • C.20 moles
    • D.30 moles
    Show answerHide answer

    Correct answer: 15 moles

    Correct answer: 15 moles. Explanation: The balanced equation for the combustion of propane is CX3HX8+5 OX2→3 COX2+4 HX2O\ce{C3H8 + 5O2 -> 3CO2 + 4H2O}. For every mole of propane burned, 3 moles of COX2\ce{CO2} are produced. Thus, 5×3=155 \times 3 = 15 moles of COX2\ce{CO2} are produced.

  4. What is the limiting reagent when 3.0 grams of Al\ce{Al} react with 4.0 grams of OX2\ce{O2} to form aluminum oxide?

    • A.Al\ce{Al}
    • B.OX2\ce{O2}
    • C.AlX2OX3\ce{Al2O3}
    • D.Neither
    Show answerHide answer

    Correct answer: Al\ce{Al}

    Correct answer: Al\ce{Al}. Explanation: The balanced equation is 4 Al+3 OX2→2 AlX2OX3\ce{4Al + 3O2 -> 2Al2O3}. Aluminum has a molar mass of about 27 g/mol, so 3.0 g of Al\ce{Al} is about 0.111 moles. Oxygen has a molar mass of about 32 g/mol, so 4.0 g of OX2\ce{O2} is about 0.125 moles. Reacting 0.111 mol Al\ce{Al} requires 0.111×34=0.0830.111 \times \frac{3}{4} = 0.083 mol OX2\ce{O2}; since 0.125 mol OX2\ce{O2} is available, OX2\ce{O2} is in excess and Al\ce{Al} is the limiting reagent.

  5. How many grams of FeX2OX3\ce{Fe2O3} can be formed from the reaction of 8.4 grams of iron with excess oxygen?

    • A.12.0 grams
    • B.6.0 grams
    • C.11.2 grams
    • D.8.4 grams
    Show answerHide answer

    Correct answer: 12.0 grams

    Correct answer: 12.0 grams. Explanation: The balanced equation is 4 Fe+3 OX2→2 FeX2OX3\ce{4Fe + 3O2 -> 2Fe2O3}. Iron has a molar mass of 55.85 g/mol, so 8.4 grams of iron is about 0.150 moles. The 4:2 mole ratio of Fe\ce{Fe} to FeX2OX3\ce{Fe2O3} gives 0.150×24=0.0750.150 \times \frac{2}{4} = 0.075 moles of FeX2OX3\ce{Fe2O3}. The molar mass of FeX2OX3\ce{Fe2O3} is about 159.7 g/mol, giving 0.075×159.7≈12.00.075 \times 159.7 \approx 12.0 grams.

  6. What volume of carbon dioxide at STP is produced from the combustion of 100 grams of butane (CX4HX10\ce{C4H10})?

    • A.134.4 L
    • B.268.8 L
    • C.154.2 L
    • D.672.0 L
    Show answerHide answer

    Correct answer: 154.2 L

    Correct answer: 154.2 L. Explanation: The balanced equation for the combustion of butane is 2 CX4HX10+13 OX2→8 COX2+10 HX2O\ce{2C4H10 + 13O2 -> 8CO2 + 10H2O}. The molar mass of butane is approximately 58 g/mol, so 100 grams corresponds to about 1.72 moles of butane. Each mole of butane produces 4 moles of COX2\ce{CO2}, hence 1.72×4=6.881.72 \times 4 = 6.88 moles of COX2\ce{CO2}. At STP (22.4 L/mol), 6.88×22.4≈154.26.88 \times 22.4 \approx 154.2 liters.

  7. A mixture of 5.0 grams of HX2\ce{H2} and 20.0 grams of OX2\ce{O2} is ignited. What is the mass of water vapor formed?

    • A.18.0 grams
    • B.25.0 grams
    • C.22.5 grams
    • D.20.0 grams
    Show answerHide answer

    Correct answer: 22.5 grams

    Correct answer: 22.5 grams. Explanation: The balanced equation is 2 HX2+OX2→2 HX2O\ce{2H2 + O2 -> 2H2O}. Hydrogen (2 g/mol) gives 5.02=2.5\frac{5.0}{2} = 2.5 moles; oxygen (32 g/mol) gives 20.032=0.625\frac{20.0}{32} = 0.625 moles. Fully reacting the HX2\ce{H2} would need 2.52=1.25\frac{2.5}{2} = 1.25 moles of OX2\ce{O2}, but only 0.625 moles are present, so OX2\ce{O2} is the limiting reagent. It produces 2×0.625=1.252 \times 0.625 = 1.25 moles of HX2O\ce{H2O}, giving 1.25×18=22.51.25 \times 18 = 22.5 grams of water.

  8. If 7.0 grams of nitrogen reacts with 3.0 grams of hydrogen, how many grams of ammonia are produced?

    • A.6.0 grams
    • B.8.5 grams
    • C.10.0 grams
    • D.17.0 grams
    Show answerHide answer

    Correct answer: 8.5 grams

    Correct answer: 8.5 grams. Explanation: The balanced equation is NX2+3 HX2→2 NHX3\ce{N2 + 3H2 -> 2NH3}. Nitrogen (28 g/mol) gives 7.028=0.25\frac{7.0}{28} = 0.25 moles; hydrogen (2 g/mol) gives 3.02=1.5\frac{3.0}{2} = 1.5 moles. Reacting 0.25 mol NX2\ce{N2} needs 0.75 mol HX2\ce{H2}, so nitrogen is the limiting reagent. The 1:2 ratio of NX2\ce{N2} to NHX3\ce{NH3} gives 0.5 moles of ammonia, corresponding to 0.5×17=8.50.5 \times 17 = 8.5 grams.

  9. In the reaction where calcium carbonate decomposes into calcium oxide and carbon dioxide, how much carbon dioxide can be produced from 50 grams of calcium carbonate?

    • A.22 grams
    • B.44 grams
    • C.11 grams
    • D.33 grams
    Show answerHide answer

    Correct answer: 22 grams

    Correct answer: 22 grams. Explanation: The balanced chemical equation for the decomposition of calcium carbonate is CaCOX3→CaO+COX2\ce{CaCO3 -> CaO + CO2}. The molar mass of CaCOX3\ce{CaCO3} is approximately 100 g/mol, so 50 grams corresponds to 0.5 moles. The molar mass of COX2\ce{CO2} is approximately 44 g/mol, hence 0.5×44=220.5 \times 44 = 22 grams of COX2\ce{CO2} can be produced.

  10. At which electrode does the reduction reaction occur in a galvanic cell?

    • A.Anode
    • B.Cathode
    • C.Salt bridge
    • D.External circuit
    Show answerHide answer

    Correct answer: Cathode

    Correct answer: Cathode. Explanation: In a galvanic cell, the reduction reaction always occurs at the cathode. This is where the reduction of ions takes place, gaining electrons.

  11. Which statement is true for the standard electrode potentials in electrochemistry?

    • A.Higher positive potential indicates a stronger reducing agent
    • B.Higher negative potential indicates a stronger oxidizing agent
    • C.Higher positive potential indicates a stronger oxidizing agent
    • D.Lower negative potential indicates a stronger reducing agent
    Show answerHide answer

    Correct answer: Higher positive potential indicates a stronger oxidizing agent

    Correct answer: Higher positive potential indicates a stronger oxidizing agent. Explanation: The more positive the standard electrode potential, the greater the tendency of the species to gain electrons and thus act as an oxidizing agent.

  12. Which reaction correctly represents the oxidation that occurs in a standard hydrogen electrode?

    • A.HX2→2 HX++2 eX−\ce{H2 -> 2H+ + 2e-}
    • B.HX++eX−→12 HX2\ce{H+ + e- -> 1/2 H2}
    • C.2 HX++2 eX−→HX2\ce{2H+ + 2e- -> H2}
    • D.HX2+2 eX−→2 HX−\ce{H2 + 2e- -> 2H-}
    Show answerHide answer

    Correct answer: HX2→2 HX++2 eX−\ce{H2 -> 2H+ + 2e-}

    Correct answer: HX2→2 HX++2 eX−\ce{H2 -> 2H+ + 2e-}. Explanation: The standard hydrogen electrode involves the oxidation of hydrogen gas into hydrogen ions, releasing electrons.

  13. What is the oxidation state of chromium in KX2CrX2OX7\ce{K2Cr2O7}?

    • A.6
    • B.3
    • C.12
    • D.7
    Show answerHide answer

    Correct answer: 6

    Correct answer: 6. Explanation: In KX2CrX2OX7\ce{K2Cr2O7}, potassium has an oxidation state of +1 and oxygen has -2. Solving 2(+1)+2(Cr)+7(−2)=02(+1) + 2(\mathrm{Cr}) + 7(-2) = 0 gives chromium an oxidation state of +6.

  14. Which species is reduced in the reaction 2 Al(s)+3 MnOX2(s)→AlX2OX3(s)+3 Mn(s)\ce{2Al(s) + 3MnO2(s) -> Al2O3(s) + 3Mn(s)}?

    • A.Al\ce{Al}
    • B.MnOX2\ce{MnO2}
    • C.AlX2OX3\ce{Al2O3}
    • D.Mn\ce{Mn}
    Show answerHide answer

    Correct answer: Mn\ce{Mn}

    Correct answer: Mn\ce{Mn}. Explanation: In the reaction, MnOX2\ce{MnO2} is reduced to Mn\ce{Mn}, meaning manganese gains electrons (its oxidation state drops from +4 to 0).

  15. How many electrons are transferred in the balanced redox reaction involving the conversion of Cu\ce{Cu} to CuX2+\ce{Cu^2+} and AgX+\ce{Ag+} to Ag\ce{Ag}?

    • A.1
    • B.2
    • C.3
    • D.4
    Show answerHide answer

    Correct answer: 2

    Correct answer: 2. Explanation: The reaction Cu→CuX2+\ce{Cu -> Cu^2+} involves the loss of two electrons, and each AgX+\ce{Ag+} gains one electron to form Ag\ce{Ag}. Overall, two electrons are transferred.

  16. When the equation CX3HX8+OX2→COX2+HX2O\ce{C3H8 + O2 -> CO2 + H2O} is balanced with the smallest whole-number coefficients, what coefficient appears in front of OX2\ce{O2}?

    • A.7
    • B.4
    • C.5
    • D.3
    Show answerHide answer

    Correct answer: 5

    The coefficient on OX2\ce{O2} is 5. Balancing the combustion of propane gives CX3HX8+5 OX2→3 COX2+4 HX2O\ce{C3H8 + 5O2 -> 3CO2 + 4H2O}: the 3 carbons require 3 COX2\ce{CO2}, the 8 hydrogens require 4 HX2O\ce{H2O}, and counting oxygen on the product side gives (3×2)+(4×1)=10(3 \times 2) + (4 \times 1) = 10 oxygen atoms, which equals 5 OX2\ce{O2} molecules. To balance any equation you adjust coefficients (never subscripts) until every element has equal atom counts on both sides.

  17. A solution is prepared by dissolving 0.50 mol of NaCl\ce{NaCl} in enough water to make 250 mL of solution. What is the molarity of the solution?

    • A.2.0 M
    • B.1.25 M
    • C.0.50 M
    • D.5.0 M
    Show answerHide answer

    Correct answer: 2.0 M

    The molarity is 2.0 M. Molarity (M) equals moles of solute divided by liters of solution: M=0.50 mol/0.250 L=2.0M = 0.50 \text{ mol} / 0.250 \text{ L} = 2.0 mol/L. The 250 mL volume must be converted to 0.250 L before dividing; using 250 instead would wrongly give 0.0020 M.

  18. Nitrogen reacts with hydrogen according to NX2+3 HX2→2 NHX3\ce{N2 + 3H2 -> 2NH3}. If a reaction theoretically should produce 34.0 g of NHX3\ce{NH3} but only 27.2 g is actually collected, what is the percent yield?

    • A.125%
    • B.80%
    • C.56%
    • D.65%
    Show answerHide answer

    Correct answer: 80%

    The percent yield is 80%. Percent yield = (actual yield / theoretical yield) x 100 = (27.2 g/34.0 g)×100=80%(27.2 \text{ g} / 34.0 \text{ g}) \times 100 = 80\%. The theoretical yield is the maximum mass predicted by stoichiometry, and the actual yield is what is recovered; dividing the larger number by the smaller (giving 125%) reverses the formula.

  19. Aqueous silver nitrate is mixed with aqueous sodium chloride, forming a white precipitate. What is the correct net ionic equation for this reaction?

    • A.NaX+(aq)+NOX3X−(aq)→NaNOX3(s)\ce{Na+(aq) + NO3-(aq) -> NaNO3(s)}
    • B.AgNOX3(aq)+NaCl(aq)→AgCl(s)+NaNOX3(aq)\ce{AgNO3(aq) + NaCl(aq) -> AgCl(s) + NaNO3(aq)}
    • C.AgX+(aq)+ClX−(aq)→AgCl(s)\ce{Ag+(aq) + Cl-(aq) -> AgCl(s)}
    • D.AgX+(aq)+NOX3X−(aq)→AgNOX3(s)\ce{Ag+(aq) + NO3-(aq) -> AgNO3(s)}
    Show answerHide answer

    Correct answer: AgX+(aq)+ClX−(aq)→AgCl(s)\ce{Ag+(aq) + Cl-(aq) -> AgCl(s)}

    The net ionic equation is AgX+(aq)+ClX−(aq)→AgCl(s)\ce{Ag+(aq) + Cl-(aq) -> AgCl(s)}. A net ionic equation shows only the species that actually change; the sodium and nitrate ions remain dissolved on both sides as spectator ions and are cancelled out. The full molecular equation (AgNOX3+NaCl→AgCl+NaNOX3\ce{AgNO3 + NaCl -> AgCl + NaNO3}) is correct but is not the net ionic form because it still includes the spectators.

  20. For the reaction 2 Al+3 ClX2→2 AlClX3\ce{2Al + 3Cl2 -> 2AlCl3}, a mixture contains 0.20 mol Al\ce{Al} and 0.20 mol ClX2\ce{Cl2}. Which substance is the limiting reactant?

    • A.ClX2\ce{Cl2}
    • B.Al\ce{Al}
    • C.AlClX3\ce{AlCl3}
    • D.Neither; they react completely
    Show answerHide answer

    Correct answer: ClX2\ce{Cl2}

    ClX2\ce{Cl2} is the limiting reactant. Divide each reactant's moles by its coefficient: Al\ce{Al} gives 0.20/2=0.100.20/2 = 0.10, and ClX2\ce{Cl2} gives 0.20/3=0.0670.20/3 = 0.067. The smaller value identifies the limiting reactant, so ClX2\ce{Cl2} runs out first. Stated another way, fully reacting 0.20 mol Al\ce{Al} would require 0.30 mol ClX2\ce{Cl2}, but only 0.20 mol is available.

  21. What is the oxidation number of sulfur in the sulfate ion, SOX4X2−\ce{SO4^2-}?

    • A.+6
    • B.-2
    • C.+2
    • D.+4
    Show answerHide answer

    Correct answer: +6

    The oxidation number of sulfur in SOX4X2−\ce{SO4^2-} is +6. By the oxidation-number rules, each oxygen is assigned -2, so four oxygens contribute -8; the sum of all oxidation numbers must equal the ion's charge of -2. Setting S+(−8)=−2S + (-8) = -2 gives S=+6S = +6.

  22. Zinc displaces copper from solution by the reaction Zn(s)+CuX2+(aq)→ZnX2+(aq)+Cu(s)\ce{Zn(s) + Cu^2+(aq) -> Zn^2+(aq) + Cu(s)}. Which species is the oxidizing agent?

    • A.Zn\ce{Zn}
    • B.ZnX2+\ce{Zn^2+}
    • C.Cu\ce{Cu}
    • D.CuX2+\ce{Cu^2+}
    Show answerHide answer

    Correct answer: CuX2+\ce{Cu^2+}

    CuX2+\ce{Cu^2+} is the oxidizing agent. The oxidizing agent is the species that gets reduced (gains electrons): CuX2+\ce{Cu^2+} gains two electrons to become Cu\ce{Cu} metal, so it oxidizes the zinc and is itself the oxidizing agent. Zn\ce{Zn} is the reducing agent because it loses electrons and is oxidized to ZnX2+\ce{Zn^2+}.

  23. A chemist needs 100.0 mL of 3.0 M HCl\ce{HCl} and has a 12.0 M HCl\ce{HCl} stock solution. Using C1V1=C2V2C_1 V_1 = C_2 V_2, what volume of the stock should be diluted to make the new solution?

    • A.25.0 mL
    • B.12.5 mL
    • C.30.0 mL
    • D.36.0 mL
    Show answerHide answer

    Correct answer: 25.0 mL

    The required stock volume is 25.0 mL. Rearranging the dilution equation C1V1=C2V2C_1 V_1 = C_2 V_2 gives V1=(C2×V2)/C1=(3.0 M×100.0 mL)/12.0 M=25.0V_1 = (C_2 \times V_2)/C_1 = (3.0 \text{ M} \times 100.0 \text{ mL})/12.0 \text{ M} = 25.0 mL. That 25.0 mL of 12.0 M stock is then diluted with water up to a total of 100.0 mL to reach the target 3.0 M concentration.

  24. Zinc reacts with excess hydrochloric acid: Zn+2 HCl→ZnClX2+HX2\ce{Zn + 2HCl -> ZnCl2 + H2}. If 2.0 mol of Zn\ce{Zn} reacts completely, what volume does the HX2\ce{H2} gas occupy at 1.00 atm and 300 K? (R = 0.0821 L*atm/mol*K)

    • A.49.3 L
    • B.41.0 L
    • C.98.5 L
    • D.24.6 L
    Show answerHide answer

    Correct answer: 49.3 L

    The hydrogen gas occupies about 49.3 L. The 1:1 mole ratio of Zn\ce{Zn} to HX2\ce{H2} means 2.0 mol Zn\ce{Zn} produces 2.0 mol HX2\ce{H2}. Applying the ideal gas law PV=nRTPV = nRT and solving for V gives V=nRT/P=(2.0 mol×0.0821×300 K)/1.00 atm=49.3V = nRT/P = (2.0 \text{ mol} \times 0.0821 \times 300 \text{ K})/1.00 \text{ atm} = 49.3 L. Using 1.0 mol instead of the 2.0 mol set by the mole ratio would wrongly halve the answer.

  25. When excess aqueous lead(II) nitrate is added to a solution containing 0.40 mol of potassium iodide, the reaction is 2 KI+Pb(NOX3)X2→PbIX2+2 KNOX3\ce{2KI + Pb(NO3)2 -> PbI2 + 2KNO3}. How many moles of lead(II) iodide precipitate form?

    • A.0.10 mol
    • B.0.20 mol
    • C.0.40 mol
    • D.0.80 mol
    Show answerHide answer

    Correct answer: 0.20 mol

    Correct answer: 0.20 mol. The balanced equation shows that 2 mol of KI\ce{KI} are required to produce 1 mol of PbIX2\ce{PbI2}, a 2:1 mole ratio. Because the lead(II) nitrate is in excess, KI\ce{KI} is the limiting reactant, so the 0.40 mol of KI\ce{KI} sets the amount of product. Multiplying 0.40 mol KI\ce{KI} by the ratio 1 mol PbIX22 mol KI\frac{1\ \text{mol}\ \ce{PbI2}}{2\ \text{mol}\ \ce{KI}} gives 0.20 mol of PbIX2\ce{PbI2}. The 0.10 mol value would result from incorrectly using a 4:1 ratio, while 0.40 mol ignores the stoichiometric coefficients and 0.80 mol inverts the ratio.

Energy and Thermodynamics (25)

  1. Which expression correctly describes the change in entropy (ΔS\Delta S) of a reaction that forms a complex molecule from simpler molecules?

    • A.ΔS>0\Delta S > 0
    • B.ΔS<0\Delta S < 0
    • C.ΔS=0\Delta S = 0
    • D.ΔS\Delta S is indeterminate
    Show answerHide answer

    Correct answer: ΔS<0\Delta S < 0

    Correct answer: ΔS<0\Delta S < 0. Explanation: The formation of a complex molecule from simpler molecules typically results in a decrease in randomness or disorder of the system, leading to a negative change in entropy.

  2. Which condition is not necessary for a reaction to be considered spontaneous under standard conditions?

    • A.Negative ΔG (Gibbs free energy)
    • B.Positive ΔS (entropy)
    • C.Temperature independent
    • D.Negative ΔH (enthalpy)
    Show answerHide answer

    Correct answer: Temperature independent

    Correct answer: Temperature independent. Explanation: The only strict requirement for spontaneity is a negative ΔG. Spontaneity generally depends on temperature through ΔG = ΔH − TΔS, so a reaction need not be temperature independent (and neither a positive ΔS nor a negative ΔH is individually required).

  3. What is the enthalpy change (ΔH\Delta H) for a reaction that is exothermic and results in the formation of gases from solids?

    • A.ΔH>0\Delta H > 0
    • B.ΔH<0\Delta H < 0
    • C.ΔH=0\Delta H = 0
    • D.ΔH\Delta H depends on pressure
    Show answerHide answer

    Correct answer: ΔH<0\Delta H < 0

    Correct answer: ΔH<0\Delta H < 0. Explanation: An exothermic reaction releases heat, resulting in a negative enthalpy change (ΔH<0\Delta H < 0), regardless of the state of matter transformation.

  4. Which statement about endothermic reactions is correct?

    • A.They occur spontaneously at all temperatures
    • B.They absorb heat, resulting in a positive ΔH
    • C.They decrease the entropy of the surroundings
    • D.They always result in a positive ΔG
    Show answerHide answer

    Correct answer: They absorb heat, resulting in a positive ΔH

    Correct answer: They absorb heat, resulting in a positive ΔH. Explanation: Endothermic reactions absorb heat from their surroundings, which is indicated by a positive change in enthalpy (ΔH).

  5. What is the sign of ΔG\Delta G for a reaction where ΔH=−150\Delta H = -150 kJ and ΔS=−100\Delta S = -100 J/K at 298 K?

    • A.Positive
    • B.Negative
    • C.Zero
    • D.Depends on the system size
    Show answerHide answer

    Correct answer: Negative

    Correct answer: Negative. Explanation: Using the Gibbs free energy equation ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S, substituting the values gives ΔG=−150,000\Delta G = -150{,}000 J −(298- (298 K)(−100)(-100 J/K)=−150,000) = -150{,}000 J +29,800+ 29{,}800 J =−120,200= -120{,}200 J, which is negative, indicating spontaneity.

  6. If a reaction's entropy change (ΔS) is negative and its enthalpy change (ΔH) is positive, under what conditions might the reaction be spontaneous?

    • A.High temperature
    • B.Low temperature
    • C.At any temperature
    • D.Never spontaneous
    Show answerHide answer

    Correct answer: Never spontaneous

    Correct answer: Never spontaneous. Explanation: For ΔG = ΔH − TΔS, a positive ΔH and a negative ΔS make −TΔS positive at all temperatures. Therefore ΔG is positive at every temperature, so the reaction is never spontaneous.

  7. For a process that absorbs 40 kJ of heat and does 15 kJ of work on the surroundings, what is the change in internal energy of the system?

    • A.+25 kJ
    • B.-25 kJ
    • C.+55 kJ
    • D.-55 kJ
    Show answerHide answer

    Correct answer: +25 kJ

    Correct answer: +25 kJ. Explanation: The first law of thermodynamics states ΔU=q+w\Delta U = q + w. Here, q=+40q = +40 kJ (heat absorbed) and w=−15w = -15 kJ (work done by the system), so ΔU=+40\Delta U = +40 kJ −15- 15 kJ =+25= +25 kJ.

  8. For a reaction with a ΔG\Delta G of +30 kJ/mol at 298 K, what can be said about the spontaneity of the reaction?

    • A.The reaction is spontaneous.
    • B.The reaction is non-spontaneous.
    • C.The reaction is at equilibrium.
    • D.Spontaneity cannot be determined without more information.
    Show answerHide answer

    Correct answer: The reaction is non-spontaneous.

    Correct answer: The reaction is non-spontaneous. Explanation: A positive ΔG\Delta G indicates that the reaction is non-spontaneous under standard conditions.

  9. What is the effect of increasing the concentration of the cathodic reactant in a voltaic cell?

    • A.Increases the cell potential
    • B.Decreases the cell potential
    • C.Has no effect on the cell potential
    • D.Reverses the direction of electron flow
    Show answerHide answer

    Correct answer: Increases the cell potential

    Correct answer: Increases the cell potential. Explanation: Increasing the concentration of the cathodic reactant in a voltaic cell increases the cell potential because it makes the reduction at the cathode more favorable, as described by the Nernst equation.

  10. A cell consists of a magnesium electrode in a 1 M MgX2+\ce{Mg^2+} solution and a copper electrode in a 1 M CuX2+\ce{Cu^2+} solution. What is the standard cell potential?

    • A.2.71 V
    • B.3.52 V
    • C.1.10 V
    • D.2.37 V
    Show answerHide answer

    Correct answer: 2.71 V

    Correct answer: 2.71 V. Explanation: The standard reduction potentials are MgX2+/Mg=−2.37\ce{Mg^2+}/\ce{Mg} = -2.37 V and CuX2+/Cu=+0.34\ce{Cu^2+}/\ce{Cu} = +0.34 V. The cell potential, being the difference between cathode and anode potentials, is 0.34−(−2.37)=2.710.34 - (-2.37) = 2.71 V.

  11. The Nernst equation is used to calculate the cell potential under non-standard conditions. What key variable does this equation introduce that is not considered in the standard cell potential?

    • A.Temperature
    • B.Pressure
    • C.Concentration
    • D.Catalyst presence
    Show answerHide answer

    Correct answer: Concentration

    Correct answer: Concentration. Explanation: The Nernst equation introduces the concentration of reactants and products into the calculation of cell potential, addressing the effect of varying concentrations on the potential.

  12. A reaction releases heat to its surroundings, and a thermometer placed in the reaction mixture reads a rising temperature. How should this reaction be classified, and what is the sign of its enthalpy change?

    • A.Endothermic, with a negative enthalpy of reaction
    • B.Exothermic, with a negative enthalpy of reaction
    • C.Endothermic, with a positive enthalpy of reaction
    • D.Exothermic, with a positive enthalpy of reaction
    Show answerHide answer

    Correct answer: Exothermic, with a negative enthalpy of reaction

    This reaction is exothermic with a negative enthalpy of reaction. An exothermic process releases energy as heat to the surroundings, which raises the temperature of the surroundings; because the system loses that energy, the enthalpy change of the reaction is negative. An endothermic reaction is the opposite: it absorbs heat, cools its surroundings, and has a positive enthalpy change.

  13. Given C(s)+OX2(g)→COX2(g)\ce{C(s) + O2(g) -> CO2(g)} with ΔH=−393.5\Delta H = -393.5 kJ and CO(g)+12 OX2(g)→COX2(g)\ce{CO(g) + 1/2 O2(g) -> CO2(g)} with ΔH=−283.0\Delta H = -283.0 kJ, what is the enthalpy change for C(s)+12 OX2(g)→CO(g)\ce{C(s) + 1/2 O2(g) -> CO(g)}?

    • A.-110.5 kJ
    • B.-676.5 kJ
    • C.+110.5 kJ
    • D.-393.5 kJ
    Show answerHide answer

    Correct answer: -110.5 kJ

    The enthalpy change is -110.5 kJ. Using Hess's law, reverse the second reaction (COX2→CO+12 OX2\ce{CO2 -> CO + 1/2 O2}, ΔH=+283.0\Delta H = +283.0 kJ) and add it to the first (C+OX2→COX2\ce{C + O2 -> CO2}, ΔH=−393.5\Delta H = -393.5 kJ); the COX2\ce{CO2} cancels and the result is C+12 OX2→CO\ce{C + 1/2 O2 -> CO} with ΔH=−393.5+283.0=−110.5\Delta H = -393.5 + 283.0 = -110.5 kJ. Hess's law works because enthalpy is a state function, so the total change depends only on the initial and final states, not the path.

  14. A 50.0 g metal sample absorbs 1200 J of heat, and its temperature rises from 25.0 C to 49.0 C. Using the calorimetry equation q=mcΔTq = mc\Delta T, what is the specific heat capacity of the metal?

    • A.1.0 J/(g*C)
    • B.0.50 J/(g*C)
    • C.2.0 J/(g*C)
    • D.4.18 J/(g*C)
    Show answerHide answer

    Correct answer: 1.0 J/(g*C)

    The specific heat capacity is 1.0 J/(g*C). Rearranging q=mcΔTq = mc\Delta T gives c=q/(mΔT)=1200 J/(50.0 g×24.0 C)=1200/1200=1.0c = q/(m\Delta T) = 1200 \text{ J} / (50.0 \text{ g} \times 24.0 \text{ C}) = 1200/1200 = 1.0 J/(g*C). Specific heat capacity is the heat needed to raise one gram of a substance by one degree Celsius; the value 4.18 J/(g*C) belongs to liquid water, not this metal.

  15. How much heat is absorbed when 250.0 g of liquid water is warmed from 20.0 C to 30.0 C? (specific heat of water = 4.18 J/(g*C))

    • A.2090 J
    • B.10,450 J
    • C.1045 J
    • D.104,500 J
    Show answerHide answer

    Correct answer: 10,450 J

    The water absorbs 10,450 J. Applying the calorimetry equation q=mcΔTq = mc\Delta T with m = 250.0 g, c = 4.18 J/(g*C), and ΔT=30.0−20.0=10.0\Delta T = 30.0 - 20.0 = 10.0 C gives q=250.0×4.18×10.0=10,450q = 250.0 \times 4.18 \times 10.0 = 10{,}450 J (about 10.45 kJ). A common error is forgetting to multiply by the temperature change, which would give only 1045 J.

  16. What is the standard enthalpy of formation of OX2(g)\ce{O2(g)}, NX2(g)\ce{N2(g)}, or any other element in its most stable form at 25 C and 1 bar?

    • A.Always negative because bonds are formed
    • B.Equal to the bond dissociation energy of the molecule
    • C.Always positive because energy is required
    • D.Exactly zero by definition
    Show answerHide answer

    Correct answer: Exactly zero by definition

    The standard enthalpy of formation of an element in its most stable form is exactly zero by definition. The standard enthalpy of formation is the enthalpy change for forming one mole of a substance from its constituent elements in their standard states; since an element in its reference form is already in that state, no reaction is needed and the value is defined as zero. This convention provides the baseline against which the formation enthalpies of compounds are measured.

  17. For the combustion CHX4(g)+2 OX2(g)→COX2(g)+2 HX2O(l)\ce{CH4(g) + 2O2(g) -> CO2(g) + 2H2O(l)}, use these standard enthalpies of formation (kJ/mol): CHX4\ce{CH4} = -74.8, COX2\ce{CO2} = -393.5, HX2O(l)\ce{H2O(l)} = -285.8, OX2\ce{O2} = 0. What is the standard enthalpy of reaction?

    • A.-604.5 kJ
    • B.-890.3 kJ
    • C.+890.3 kJ
    • D.-1038.1 kJ
    Show answerHide answer

    Correct answer: -890.3 kJ

    The standard enthalpy of reaction is -890.3 kJ. Using ΔH\Delta H = (sum of products' heats of formation) - (sum of reactants' heats of formation): products = (−393.5)+2(−285.8)=−965.1(-393.5) + 2(-285.8) = -965.1 kJ; reactants = (−74.8)+2(0)=−74.8(-74.8) + 2(0) = -74.8 kJ; so ΔH=−965.1−(−74.8)=−890.3\Delta H = -965.1 - (-74.8) = -890.3 kJ. Remember to multiply each formation enthalpy by its stoichiometric coefficient, which is why HX2O\ce{H2O} is counted twice.

  18. A reaction has ΔH=+120\Delta H = +120 kJ and ΔS=+250\Delta S = +250 J/K. Using ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S, what is ΔG\Delta G at 350 K, and is the reaction spontaneous?

    • A.ΔG=+207.5\Delta G = +207.5 kJ; non-spontaneous
    • B.ΔG=+32.5\Delta G = +32.5 kJ; non-spontaneous
    • C.ΔG=−32.5\Delta G = -32.5 kJ; spontaneous
    • D.ΔG=−120\Delta G = -120 kJ; spontaneous
    Show answerHide answer

    Correct answer: ΔG=+32.5\Delta G = +32.5 kJ; non-spontaneous

    ΔG\Delta G is +32.5+32.5 kJ, so the reaction is non-spontaneous at 350 K. Converting ΔS\Delta S to kJ/K (0.250 kJ/K) and applying ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S gives 120−(350)(0.250)=120−87.5=+32.5120 - (350)(0.250) = 120 - 87.5 = +32.5 kJ. A positive ΔG\Delta G means the forward reaction is non-spontaneous; because both ΔH\Delta H and ΔS\Delta S are positive, the reaction becomes spontaneous only above T=ΔH/ΔS=480T = \Delta H/\Delta S = 480 K.

  19. At constant temperature and pressure, what condition on the Gibbs free energy change indicates that a reaction is spontaneous in the forward direction?

    • A.ΔG is equal to zero
    • B.ΔG is less than zero
    • C.ΔG is greater than zero
    • D.ΔG is equal to ΔH
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    Correct answer: ΔG is less than zero

    A reaction is spontaneous in the forward direction when ΔG is less than zero (negative). At constant temperature and pressure, a negative Gibbs free energy change means the process can proceed without continuous outside input of energy. When ΔG equals zero the system is at equilibrium, and when ΔG is positive the reverse reaction is favored.

  20. For the reaction N₂(g) + 3H₂(g) → 2NH₃(g), what is the expected sign of the entropy change of the system, and why?

    • A.Zero, because mass is conserved
    • B.Positive, because the reaction is exothermic
    • C.Positive, because a chemical bond is formed
    • D.Negative, because four moles of gas become two moles of gas
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    Correct answer: Negative, because four moles of gas become two moles of gas

    The entropy change is negative because four moles of gas are converted into two moles of gas. Entropy is a measure of the dispersal of energy and matter (disorder) in a system, and reducing the number of gas-phase molecules decreases the number of available microstates, lowering entropy. Entropy depends on the change in moles of gas and the states of matter, not on whether the reaction releases heat.

  21. Using average bond enthalpies (in kJ/mol): H-H = 436, Cl-Cl = 243, and H-Cl = 431, estimate the enthalpy change for the reaction HX2(g)+ClX2(g)→2 HCl(g)\ce{H2(g) + Cl2(g) -> 2HCl(g)}.

    • A.-183 kJ
    • B.+183 kJ
    • C.-431 kJ
    • D.+248 kJ
    Show answerHide answer

    Correct answer: -183 kJ

    Correct answer: -183 kJ. Using ΔH=(sum of bonds broken)−(sum of bonds formed)\Delta H = (\text{sum of bonds broken}) - (\text{sum of bonds formed}), the bonds broken are one H-H (436) and one Cl-Cl (243), totaling 679 kJ, while the bonds formed are two H-Cl bonds (2×431=8622 \times 431 = 862 kJ). Therefore ΔH=679−862=−183\Delta H = 679 - 862 = -183 kJ. The negative value indicates the reaction is exothermic because more energy is released forming the stronger, more numerous H-Cl bonds than is required to break the reactant bonds.

  22. How much heat is required to completely melt 18.0 g of ice at 0 C, given that the molar enthalpy of fusion of water is 6.01 kJ/mol and the molar mass of water is 18.0 g/mol?

    • A.3.01 kJ
    • B.6.01 kJ
    • C.12.0 kJ
    • D.108 kJ
    Show answerHide answer

    Correct answer: 6.01 kJ

    Correct answer: 6.01 kJ. The 18.0 g sample equals 18.0 g18.0 g/mol=1.00\frac{18.0\ \text{g}}{18.0\ \text{g/mol}} = 1.00 mol of water, and melting occurs at a constant temperature so only the enthalpy of fusion applies. Multiplying 1.00 mol by 6.01 kJ/mol gives 6.01 kJ. No q=mcΔTq = mc\Delta T term is included because temperature does not change during a phase transition at the melting point.

  23. At a fixed temperature, a chemical reaction has a standard Gibbs free energy change (ΔG\Delta G) that is large and negative. What does this indicate about the equilibrium constant K for the reaction?

    • A.K is much greater than 1, favoring products
    • B.K is much less than 1, favoring reactants
    • C.K equals exactly 1
    • D.K is negative
    Show answerHide answer

    Correct answer: K is much greater than 1, favoring products

    Correct answer: K is much greater than 1, favoring products. The relationship ΔG=−RTln⁡(K)\Delta G = -RT\ln(K) shows that when ΔG\Delta G is large and negative, ln⁡(K)\ln(K) must be large and positive, so K is much greater than 1 and the equilibrium position lies toward the products. K can never be negative because it is a ratio of concentrations or pressures, and K equals 1 only when ΔG\Delta G is zero.

  24. A reaction is exothermic (ΔH\Delta H negative) and has a positive entropy change (ΔS\Delta S positive). According to ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S, how does temperature affect the spontaneity of this reaction?

    • A.It is spontaneous only at high temperatures
    • B.It is spontaneous only at low temperatures
    • C.It is spontaneous at all temperatures
    • D.It is nonspontaneous at all temperatures
    Show answerHide answer

    Correct answer: It is spontaneous at all temperatures

    Correct answer: It is spontaneous at all temperatures. With ΔH\Delta H negative and ΔS\Delta S positive, the term −TΔS-T\Delta S is always negative for any positive temperature, so ΔG=ΔH−TΔS\Delta G = \Delta H - T\Delta S remains negative regardless of temperature. Because both the enthalpy and entropy contributions favor spontaneity, no temperature can make ΔG\Delta G positive.

  25. For any spontaneous process, what must be true about the total entropy change of the universe, defined as the sum of the entropy change of the system and the entropy change of the surroundings?

    • A.The total entropy of the universe decreases
    • B.The total entropy of the universe increases
    • C.The total entropy of the universe remains constant
    • D.The entropy of the system alone must increase
    Show answerHide answer

    Correct answer: The total entropy of the universe increases

    Correct answer: The total entropy of the universe increases. The second law of thermodynamics states that ΔS(universe) = ΔS(system) + ΔS(surroundings) must be greater than zero for any spontaneous process. The entropy of the system alone may decrease, as in freezing, provided the surroundings gain more entropy so that the overall universe total still increases; the total stays constant only for a hypothetical reversible process at equilibrium.

Kinetics (25)

  1. A reaction has a rate constant k=4.5×10−3k = 4.5 \times 10^{-3} s−1^{-1} at 300 K. If the activation energy is 75 kJ/mol, what is the rate constant at 350 K? (R = 8.314 J/mol⋅\cdotK)

    • A.0.33 s−1^{-1}
    • B.2.6×10−22.6 \times 10^{-2} s−1^{-1}
    • C.9.0×10−39.0 \times 10^{-3} s−1^{-1}
    • D.7.1×10−27.1 \times 10^{-2} s−1^{-1}
    Show answerHide answer

    Correct answer: 0.33 s−1^{-1}

    Correct answer: 0.33 s−1^{-1}. Explanation: Using the Arrhenius equation k=Ae−Ea/(RT)k = A e^{-E_a/(RT)}, the ratio ln⁡(k2/k1)=EaR(1T1−1T2)\ln(k_2/k_1) = \frac{E_a}{R}\left(\frac{1}{T_1} - \frac{1}{T_2}\right). Substituting Ea=75,000E_a = 75{,}000 J/mol, T1=300T_1 = 300 K, and T2=350T_2 = 350 K gives ln⁡(k2/k1)≈4.30\ln(k_2/k_1) \approx 4.30, so k2=(4.5×10−3)e4.30≈0.33k_2 = (4.5 \times 10^{-3})e^{4.30} \approx 0.33 s−1^{-1}.

  2. What is the half-life of a second-order reaction with a rate constant of 0.1 M−1^{-1}s−1^{-1} and an initial concentration of 0.05 M?

    • A.100 s
    • B.200 s
    • C.300 s
    • D.400 s
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    Correct answer: 200 s

    Correct answer: 200 s. Explanation: For a second-order reaction, half-life t1/2=1k[A]0t_{1/2} = \frac{1}{k[\mathrm{A}]_0}. Substituting k=0.1k = 0.1 M−1^{-1}s−1^{-1} and [A]0=0.05[\mathrm{A}]_0 = 0.05 M gives t1/2=200t_{1/2} = 200 s.

  3. A catalyst increases the rate of a chemical reaction by:

    • A.Increasing the equilibrium constant K.
    • B.Decreasing the equilibrium constant K.
    • C.Lowering the activation energy.
    • D.Providing an alternative reaction pathway with a higher activation energy.
    Show answerHide answer

    Correct answer: Lowering the activation energy.

    Correct answer: Lowering the activation energy. Explanation: Catalysts increase the rate of a reaction by providing an alternative pathway with a lower activation energy, without altering the reactants or products.

  4. The rate of disappearance of A in the reaction 2 A+B→C\ce{2A + B -> C} is given by −d[A]dt=k[A]2[B]-\frac{d[\mathrm{A}]}{dt} = k[\mathrm{A}]^2[\mathrm{B}]. If the concentration of A is halved, how does the rate of the reaction change?

    • A.The rate is halved.
    • B.The rate is quartered.
    • C.The rate is doubled.
    • D.The rate remains the same.
    Show answerHide answer

    Correct answer: The rate is quartered.

    Correct answer: The rate is quartered. Explanation: Since the rate depends on [A]2[\mathrm{A}]^2, halving [A][\mathrm{A}] results in the rate being (12)2=14\left(\frac{1}{2}\right)^2 = \frac{1}{4} of the original rate.

  5. What is the effect of doubling the concentration of B in a reaction where the rate law is Rate =k[A][B]2= k[\mathrm{A}][\mathrm{B}]^2?

    • A.The rate doubles.
    • B.The rate quadruples.
    • C.The rate is halved.
    • D.The rate increases eightfold.
    Show answerHide answer

    Correct answer: The rate quadruples.

    Correct answer: The rate quadruples. Explanation: Doubling [B][\mathrm{B}] in the rate law term [B]2[\mathrm{B}]^2 results in a fourfold increase in the rate, since (2[B])2=4[B]2(2[\mathrm{B}])^2 = 4[\mathrm{B}]^2.

  6. A reaction mechanism consists of two steps: A→B\ce{A -> B} (slow) and B+C→D\ce{B + C -> D} (fast). What is the rate-determining step?

    • A.A→B\ce{A -> B}
    • B.B+C→D\ce{B + C -> D}
    • C.Both steps contribute equally.
    • D.Cannot be determined without knowing the concentrations.
    Show answerHide answer

    Correct answer: A→B\ce{A -> B}

    Correct answer: A→B\ce{A -> B}. Explanation: The slowest step in a reaction mechanism is the rate-determining step, which in this case is A→B\ce{A -> B}.

  7. The activation energy for a reaction is 125 kJ/mol, and the reaction is first order. What would likely happen to the half-life of the reaction if the temperature is increased?

    • A.The half-life decreases.
    • B.The half-life increases.
    • C.The half-life remains the same.
    • D.The half-life initially increases, then decreases.
    Show answerHide answer

    Correct answer: The half-life decreases.

    Correct answer: The half-life decreases. Explanation: For a first-order reaction, increasing the temperature typically decreases the half-life due to an increase in the rate constant, as predicted by the Arrhenius equation.

  8. What is the effect of doubling the surface area of the electrodes in an electrochemical cell?

    • A.Increases the rate of the redox reaction
    • B.Decreases the rate of the redox reaction
    • C.Has no effect on the reaction rate
    • D.Halves the cell potential
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    Correct answer: Increases the rate of the redox reaction

    Correct answer: Increases the rate of the redox reaction. Explanation: Increasing the surface area of the electrodes increases the rate of the redox reactions by providing more active sites for the reactions to occur.

  9. What does the activation energy of a chemical reaction represent?

    • A.The difference in energy between reactants and products
    • B.The minimum energy that colliding reactant molecules must possess for a reaction to occur
    • C.The total energy released when the products form
    • D.The average kinetic energy of all molecules in the sample
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    Correct answer: The minimum energy that colliding reactant molecules must possess for a reaction to occur

    Activation energy is the minimum energy that colliding reactant molecules must possess for a reaction to occur. It is the energy barrier between reactants and the transition state; only molecules with kinetic energy equal to or greater than this barrier can react on collision. The energy difference between reactants and products is the enthalpy change (ΔH\Delta H), which is a separate quantity and does not set the reaction rate.

  10. The Arrhenius equation is written as k=Ae−Ea/(RT)k = A e^{-E_a/(RT)}. Based on this equation, what happens to the rate constant kk as the temperature TT increases?

    • A.kk decreases because EaE_a increases with temperature
    • B.kk increases because the exponential term grows toward 1
    • C.kk stays constant because AA is fixed
    • D.kk decreases because the exponent becomes more negative
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    Correct answer: kk increases because the exponential term grows toward 1

    As temperature increases, kk increases because the exponential term grows toward 1. Raising TT makes the quantity Ea/(RT)E_a/(RT) smaller, so the exponent −Ea/(RT)-E_a/(RT) becomes less negative and e−Ea/(RT)e^{-E_a/(RT)} becomes larger, driving kk up. The activation energy EaE_a and the pre-exponential factor AA do not change with temperature, so the entire temperature dependence sits in the exponential term.

  11. A reaction has a rate constant k1=2.0×10−3k_1 = 2.0 \times 10^{-3} s−1^{-1} at 310 K and an activation energy of 50 kJ/mol. Using the two-point Arrhenius form ln⁡(k2/k1)=(Ea/R)(1/T1−1/T2)\ln(k_2/k_1) = (E_a/R)(1/T_1 - 1/T_2) with R=8.314R = 8.314 J/(mol⋅\cdotK), what is the approximate rate constant at 320 K?

    • A.6.0×10−36.0 \times 10^{-3} s−1^{-1}
    • B.3.7×10−33.7 \times 10^{-3} s−1^{-1}
    • C.2.0×10−22.0 \times 10^{-2} s−1^{-1}
    • D.1.1×10−31.1 \times 10^{-3} s−1^{-1}
    Show answerHide answer

    Correct answer: 3.7×10−33.7 \times 10^{-3} s−1^{-1}

    The rate constant is approximately 3.7×10−33.7 \times 10^{-3} s−1^{-1}. Computing (Ea/R)=50000/8.314=6014(E_a/R) = 50000/8.314 = 6014, and (1/310−1/320)=0.00010081(1/310 - 1/320) = 0.00010081, gives ln⁡(k2/k1)=6014×0.00010081=0.606\ln(k_2/k_1) = 6014 \times 0.00010081 = 0.606, so k2/k1=e0.606=1.83k_2/k_1 = e^{0.606} = 1.83. Multiplying 2.0×10−32.0 \times 10^{-3} by 1.83 yields about 3.7×10−33.7 \times 10^{-3} s−1^{-1}, showing that a modest 10 K rise nearly doubles the rate constant.

  12. For the reaction A+B→products\ce{A + B -> products}, the experimentally determined rate law is rate=k[A][B]2\text{rate} = k[\ce{A}][\ce{B}]^2. What is the overall order of this reaction?

    • A.Second order
    • B.Zero order
    • C.Third order
    • D.First order
    Show answerHide answer

    Correct answer: Third order

    The reaction is third order overall. The overall order is the sum of the exponents in the rate law, here 1 (for [A][\ce{A}]) plus 2 (for [B][\ce{B}]), which equals 3. The reaction is first order in A and second order in B, and the coefficients in the balanced equation cannot be used to find these exponents because reaction order is determined experimentally.

  13. In a series of experiments, doubling the concentration of reactant X while holding all other concentrations constant causes the initial reaction rate to increase by a factor of 4. What is the order of the reaction with respect to X?

    • A.First order
    • B.Zero order
    • C.Second order
    • D.Third order
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    Correct answer: Second order

    The reaction is second order with respect to X. When concentration is doubled and the rate increases by 4, the relationship is 2n=42^n = 4, which gives n=2n = 2. This method of comparing how the rate responds to changes in one concentration at a time is the standard way to determine the exponents in a rate law from initial-rate data.

  14. The integrated rate law for a first-order reaction is ln⁡[A]=ln⁡[A]0−kt\ln[\ce{A}] = \ln[\ce{A}]_0 - kt. Which graph of experimental data would produce a straight line, confirming that a reaction is first order?

    • A.[A]2[\ce{A}]^2 versus time
    • B.ln⁡[A]\ln[\ce{A}] versus time
    • C.1/[A]1/[\ce{A}] versus time
    • D.[A][\ce{A}] versus time
    Show answerHide answer

    Correct answer: ln⁡[A]\ln[\ce{A}] versus time

    A plot of ln⁡[A]\ln[\ce{A}] versus time gives a straight line for a first-order reaction, with a slope equal to −k-k. A plot of [A][\ce{A}] versus time is linear only for zero-order reactions, and a plot of 1/[A]1/[\ce{A}] versus time is linear only for second-order reactions. Testing which of these three plots is linear is the standard graphical method for identifying reaction order from concentration-time data.

  15. A first-order reaction has a rate constant of 0.0231 s−1^{-1}. What is the half-life of this reaction?

    • A.15.0 s
    • B.43.3 s
    • C.0.0160 s
    • D.30.0 s
    Show answerHide answer

    Correct answer: 30.0 s

    The half-life is 30.0 s. For a first-order reaction the half-life is t1/2=0.693/kt_{1/2} = 0.693/k, so dividing 0.693 by 0.0231 s−1^{-1} gives 30.0 s. A defining feature of first-order half-life is that it depends only on the rate constant, not on the starting concentration, so it stays the same throughout the reaction.

  16. Which statement correctly describes the half-life of a first-order reaction?

    • A.It doubles each time half the reactant is consumed
    • B.It depends only on the initial concentration, not on kk
    • C.It increases as the reactant concentration decreases
    • D.It is constant and independent of the initial concentration
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    Correct answer: It is constant and independent of the initial concentration

    For a first-order reaction the half-life is constant and independent of the initial concentration. Because t1/2=0.693/kt_{1/2} = 0.693/k contains only the rate constant, each successive half-life takes the same amount of time regardless of how much reactant remains. This contrasts with second-order reactions, whose half-life lengthens as concentration falls, and zero-order reactions, whose half-life shortens.

  17. According to collision theory, why do only a small fraction of molecular collisions actually lead to a chemical reaction?

    • A.All collisions form products, but most products immediately decompose
    • B.Collisions only produce reactions at temperatures below room temperature
    • C.Most collisions involve molecules that are chemically inert
    • D.Colliding molecules must have both sufficient energy and a correct orientation
    Show answerHide answer

    Correct answer: Colliding molecules must have both sufficient energy and a correct orientation

    Collision theory holds that for a collision to be effective the molecules must have both sufficient energy (at least the activation energy) and a correct orientation relative to one another. Collisions that are too weak or that strike at the wrong geometry simply bounce apart unchanged. This is why raising temperature, which increases both the frequency and the energy of collisions, speeds reactions sharply.

  18. How does raising the temperature increase reaction rate according to collision theory?

    • A.It changes the stoichiometry of the rate-determining step
    • B.It increases the fraction of molecules with energy at or above the activation energy
    • C.It increases the concentration of the reactants
    • D.It lowers the activation energy of the reaction
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    Correct answer: It increases the fraction of molecules with energy at or above the activation energy

    Raising temperature increases the fraction of molecules whose kinetic energy meets or exceeds the activation energy. The Maxwell-Boltzmann distribution shifts so that many more collisions are energetic enough to react, which is the dominant reason rates rise with temperature. Temperature does not lower the activation energy itself; only a catalyst provides a lower-energy pathway.

  19. A proposed reaction mechanism has two elementary steps: Step 1 (slow): A+A→C\ce{A + A -> C}, and Step 2 (fast): C+B→D\ce{C + B -> D}. Based on this mechanism, which expression is the predicted rate law?

    • A.rate=k[A]2\text{rate} = k[\ce{A}]^2
    • B.rate=k[A][B]\text{rate} = k[\ce{A}][\ce{B}]
    • C.rate=k[C][B]\text{rate} = k[\ce{C}][\ce{B}]
    • D.rate=k[A]2[B]\text{rate} = k[\ce{A}]^2[\ce{B}]
    Show answerHide answer

    Correct answer: rate=k[A]2\text{rate} = k[\ce{A}]^2

    The predicted rate law is rate=k[A]2\text{rate} = k[\ce{A}]^2. The overall rate is governed by the slowest step, the rate-determining step, which here is A+A→C\ce{A + A -> C} and is second order in A. The fast second step and the reactant B do not appear in the rate law because they occur after the bottleneck step, so [B][\ce{B}] has no effect on the observed rate.

  20. In a multi-step reaction mechanism, which elementary step controls the overall rate of the reaction?

    • A.The step with the largest rate constant
    • B.The slowest step, called the rate-determining step
    • C.The step that releases the most energy
    • D.The first step regardless of its speed
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    Correct answer: The slowest step, called the rate-determining step

    The slowest step, called the rate-determining step, controls the overall rate. Just as the narrowest section of a pipe limits total flow, the slowest elementary step limits how fast products can form, so the overall rate law usually reflects that step's molecularity. The step with the largest rate constant is the fastest and does not limit the rate.

  21. A catalyst is added to a reaction at constant temperature. What is its effect on the reaction?

    • A.It shifts the equilibrium to favor more products
    • B.It increases the rate by lowering the activation energy via an alternative pathway
    • C.It increases the rate by raising the activation energy
    • D.It increases the rate by raising the temperature of the system
    Show answerHide answer

    Correct answer: It increases the rate by lowering the activation energy via an alternative pathway

    A catalyst increases the rate by providing an alternative reaction pathway with a lower activation energy. With a smaller energy barrier, a larger fraction of collisions are effective at the same temperature, so both the forward and reverse rates rise. A catalyst is not consumed and does not change the position of equilibrium or the overall enthalpy change; it only speeds the approach to equilibrium.

  22. A reaction's rate constant doubles when the temperature is raised from 300 K to 310 K. Using ln⁡(k2/k1)=(Ea/R)(1/T1−1/T2)\ln(k_2/k_1) = (E_a/R)(1/T_1 - 1/T_2) with R=8.314R = 8.314 J/(mol⋅\cdotK), what is the approximate activation energy?

    • A.12 kJ/mol
    • B.6.9 kJ/mol
    • C.54 kJ/mol
    • D.110 kJ/mol
    Show answerHide answer

    Correct answer: 54 kJ/mol

    The activation energy is approximately 54 kJ/mol. With k2/k1=2k_2/k_1 = 2, ln⁡(2)=0.693\ln(2) = 0.693, and (1/300−1/310)=0.00010753(1/300 - 1/310) = 0.00010753, solving Ea=Rln⁡(2)/(1/300−1/310)E_a = R\ln(2)/(1/300 - 1/310) gives 8.314×0.693/0.00010753=536008.314 \times 0.693 / 0.00010753 = 53600 J/mol, or about 54 kJ/mol. This illustrates the common rule of thumb that many reactions roughly double in rate for each 10 K rise near room temperature.

  23. For a zero-order reaction A→products\ce{A -> products}, how does the reaction rate depend on the concentration of A?

    • A.The rate is directly proportional to [A][\ce{A}]
    • B.The rate is inversely proportional to [A][\ce{A}]
    • C.The rate is proportional to [A]2[\ce{A}]^2
    • D.The rate is independent of [A][\ce{A}] and stays constant until A is depleted
    Show answerHide answer

    Correct answer: The rate is independent of [A][\ce{A}] and stays constant until A is depleted

    For a zero-order reaction the rate is independent of the concentration of A and remains constant until the reactant is essentially used up. The rate law is rate=k\text{rate} = k, with [A][\ce{A}] raised to the zero power, so changing [A][\ce{A}] has no effect on how fast product forms. Such behavior often occurs when a surface or an enzyme is saturated, so adding more reactant cannot speed the process.

  24. What are the units of the rate constant k for a reaction whose overall rate law is rate=k[A][B]\text{rate} = k[\ce{A}][\ce{B}], when concentration is expressed in mol/L and time in seconds?

    • A.s−1\mathrm{s^{-1}}
    • B.L mol−1 s−1\mathrm{L\ mol^{-1}\ s^{-1}}
    • C.mol L−1 s−1\mathrm{mol\ L^{-1}\ s^{-1}}
    • D.L2 mol−2 s−1\mathrm{L^{2}\ mol^{-2}\ s^{-1}}
    Show answerHide answer

    Correct answer: L mol−1 s−1\mathrm{L\ mol^{-1}\ s^{-1}}

    Correct answer: L mol−1 s−1\mathrm{L\ mol^{-1}\ s^{-1}}. The rate law rate=k[A][B]\text{rate} = k[\ce{A}][\ce{B}] is second order overall (first order in each reactant). Because rate always has units of mol L−1 s−1\mathrm{mol\ L^{-1}\ s^{-1}}, the units of k must make the right side match. Dividing rate units by (mol/L)2(\mathrm{mol/L})^{2} gives mol L−1 s−1mol2 L−2=L mol−1 s−1\frac{\mathrm{mol\ L^{-1}\ s^{-1}}}{\mathrm{mol^{2}\ L^{-2}}} = \mathrm{L\ mol^{-1}\ s^{-1}}, the correct units for any second-order rate constant. By contrast, s−1\mathrm{s^{-1}} belongs to first-order k and mol L−1 s−1\mathrm{mol\ L^{-1}\ s^{-1}} belongs to zero-order k.

  25. Using the method of initial rates, doubling [A][\ce{A}] (with [B][\ce{B}] held constant) doubles the initial rate, while doubling [B][\ce{B}] (with [A][\ce{A}] held constant) leaves the initial rate unchanged. What is the rate law for the reaction?

    • A.rate=k[A][B]\text{rate} = k[\ce{A}][\ce{B}]
    • B.rate=k[A]\text{rate} = k[\ce{A}]
    • C.rate=k[A][B]2\text{rate} = k[\ce{A}][\ce{B}]^{2}
    • D.rate=k[B]\text{rate} = k[\ce{B}]
    Show answerHide answer

    Correct answer: rate=k[A]\text{rate} = k[\ce{A}]

    Correct answer: rate=k[A]\text{rate} = k[\ce{A}]. In the method of initial rates, the reaction order in each reactant is found from how the rate responds to concentration changes. Because doubling [A][\ce{A}] doubles the rate, the reaction is first order in A (21=22^{1} = 2). Because doubling [B][\ce{B}] does not change the rate, the reaction is zero order in B (20=12^{0} = 1), so B does not appear in the rate law. Combining these gives rate=k[A]\text{rate} = k[\ce{A}].

Equilibrium (25)

  1. If the reaction quotient Q for a reaction is less than the equilibrium constant K, what can be inferred about the direction of the reaction?

    • A.The reaction does not proceed.
    • B.The reaction proceeds in the reverse direction.
    • C.The reaction proceeds in the forward direction.
    • D.The reaction is at equilibrium.
    Show answerHide answer

    Correct answer: The reaction proceeds in the forward direction.

    Correct answer: The reaction proceeds in the forward direction. Explanation: When Q<KQ < K, the reaction will proceed in the forward direction to reach equilibrium, increasing Q until it equals K.

  2. In a closed system at equilibrium, if the concentration of the reactant is doubled, what happens to the equilibrium constant KcK_{c} for the reaction?

    • A.KcK_{c} doubles
    • B.KcK_{c} is halved
    • C.KcK_{c} remains unchanged
    • D.KcK_{c} quadruples
    Show answerHide answer

    Correct answer: KcK_{c} remains unchanged

    Correct answer: KcK_{c} remains unchanged. Explanation: The equilibrium constant KcK_{c} for a reaction is only dependent on the temperature of the system. Changes in concentrations of reactants or products do not affect KcK_{c}.

  3. A reaction mixture initially contains 1.00 M A and 2.00 M B. At equilibrium, the concentration of C is 0.50 M. If the reaction is A+2 B→3 C\ce{A + 2B -> 3C}, what is the equilibrium constant KcK_{c}?

    • A.0.054
    • B.0.75
    • C.0.125
    • D.1.5
    Show answerHide answer

    Correct answer: 0.054

    Correct answer: 0.054. Explanation: Forming [C]=0.50[\mathrm{C}] = 0.50 M requires x=0.50/3=0.167x = 0.50/3 = 0.167 M of reaction extent. At equilibrium [A]=1.00−0.167=0.833[\mathrm{A}] = 1.00 - 0.167 = 0.833 M and [B]=2.00−2(0.167)=1.667[\mathrm{B}] = 2.00 - 2(0.167) = 1.667 M. Thus Kc=[C]3[A][B]2=(0.50)3(0.833)(1.667)2≈0.054K_{c} = \frac{[\mathrm{C}]^3}{[\mathrm{A}][\mathrm{B}]^2} = \frac{(0.50)^3}{(0.833)(1.667)^2} \approx 0.054.

  4. For the reaction 2 NOX2(g)⇌NX2OX4(g)\ce{2NO2(g) <=> N2O4(g)}, which change would increase the quantity of NX2OX4\ce{N2O4} at equilibrium?

    • A.Increasing the volume of the container
    • B.Adding a catalyst
    • C.Increasing the pressure by decreasing the volume
    • D.Decreasing the temperature
    Show answerHide answer

    Correct answer: Increasing the pressure by decreasing the volume

    Correct answer: Increasing the pressure by decreasing the volume. Explanation: Decreasing the volume increases the pressure, driving the equilibrium towards the side with fewer moles of gas. Since NX2OX4\ce{N2O4} has fewer moles than 2 NOX2\ce{2NO2}, its concentration increases.

  5. If the equilibrium constant for a reaction at 300 K is 10 and at 350 K is 25, what can be inferred about the reaction?

    • A.It is exothermic
    • B.It is endothermic
    • C.It is neither exothermic nor endothermic
    • D.It involves no energy changes
    Show answerHide answer

    Correct answer: It is endothermic

    Correct answer: It is endothermic. Explanation: An increase in K with an increase in temperature indicates that the reaction absorbs heat (endothermic), as predicted by the van't Hoff equation.

  6. In which case will the addition of an inert gas at constant volume to the following reaction HX2(g)+IX2(g)⇌2 HI(g)\ce{H2(g) + I2(g) <=> 2HI(g)} have no effect on the position of equilibrium?

    • A.If added at constant pressure
    • B.If added at constant temperature
    • C.If added at constant volume
    • D.If added at varying temperature
    Show answerHide answer

    Correct answer: If added at constant volume

    Correct answer: If added at constant volume. Explanation: Adding an inert gas at constant volume does not change the partial pressures of the reacting gases, and thus does not affect the position of equilibrium.

  7. What is the effect on the equilibrium position when the temperature is decreased for the exothermic reaction 2 SOX2(g)+OX2(g)⇌2 SOX3(g)\ce{2SO2(g) + O2(g) <=> 2SO3(g)}?

    • A.Shifts to the right
    • B.Shifts to the left
    • C.No shift
    • D.Shifts unpredictably
    Show answerHide answer

    Correct answer: Shifts to the right

    Correct answer: Shifts to the right. Explanation: Decreasing the temperature favors the exothermic reaction, thereby shifting the equilibrium to the right to produce more SOX3\ce{SO3}.

  8. The equilibrium constant for the reaction A(g)+B(g)⇌C(g)+D(g)\ce{A(g) + B(g) <=> C(g) + D(g)} is 4.0 at a certain temperature. If the initial concentrations of A and B are each 2.0 M, what is the concentration of D at equilibrium?

    • A.1.33 M
    • B.2.0 M
    • C.0.5 M
    • D.4.0 M
    Show answerHide answer

    Correct answer: 1.33 M

    Correct answer: 1.33 M. Explanation: Using an ICE table with extent x, [A]=[B]=2.0−x[\mathrm{A}] = [\mathrm{B}] = 2.0 - x and [C]=[D]=x[\mathrm{C}] = [\mathrm{D}] = x. Then Kc=x2(2.0−x)2=4.0K_{c} = \frac{x^2}{(2.0 - x)^2} = 4.0, so x2.0−x=2\frac{x}{2.0 - x} = 2, giving x=1.33x = 1.33 M. Therefore [D]=1.33[\mathrm{D}] = 1.33 M.

  9. The reaction PClX5(g)⇌PClX3(g)+ClX2(g)\ce{PCl5(g) <=> PCl3(g) + Cl2(g)} has Kp=0.25K_{p} = 0.25 at 500 K. If the initial pressure of PClX5\ce{PCl5} is 0.4 atm, what is the total pressure at equilibrium?

    • A.0.5 atm
    • B.0.6 atm
    • C.0.7 atm
    • D.0.8 atm
    Show answerHide answer

    Correct answer: 0.6 atm

    Correct answer: 0.6 atm. Explanation: With extent x, x20.4−x=0.25\frac{x^2}{0.4 - x} = 0.25 gives x≈0.215x \approx 0.215 atm. The total pressure is (0.4−x)+x+x=0.4+x≈0.6(0.4 - x) + x + x = 0.4 + x \approx 0.6 atm.

  10. If the equilibrium constant for a decomposition reaction is less than 1, what can be inferred about the reaction?

    • A.Products are favored at equilibrium
    • B.Reactants are favored at equilibrium
    • C.Neither reactants nor products are favored
    • D.The reaction does not reach equilibrium
    Show answerHide answer

    Correct answer: Reactants are favored at equilibrium

    Correct answer: Reactants are favored at equilibrium. Explanation: A K less than 1 indicates that the reactants are favored over the products at equilibrium.

  11. For a reaction where ΔH=−30\Delta H = -30 kJ/mol and ΔS=−80\Delta S = -80 J/mol⋅\cdotK, what is the effect of increasing temperature on the equilibrium constant?

    • A.Increases
    • B.Decreases
    • C.Remains constant
    • D.First increases, then decreases
    Show answerHide answer

    Correct answer: Decreases

    Correct answer: Decreases. Explanation: Given that the reaction is exothermic (ΔH\Delta H is negative) and leads to a decrease in entropy (ΔS\Delta S is negative), an increase in temperature will decrease the equilibrium constant, based on the Gibbs free energy equation.

  12. A buffer is prepared containing 0.10 M acetic acid (CHX3COOH\ce{CH3COOH}) and 0.20 M sodium acetate (CHX3COOX−\ce{CH3COO-}). Acetic acid has a pKa of 4.74. Using the Henderson-Hasselbalch equation, what is the pH of this buffer?

    • A.5.04
    • B.5.34
    • C.4.74
    • D.4.44
    Show answerHide answer

    Correct answer: 5.04

    The pH is 5.04. The Henderson-Hasselbalch equation is pH=pKa+log⁡([AX−]/[HA])\mathrm{pH} = \mathrm{p}K_a + \log([\ce{A-}]/[\ce{HA}]), where AX−\ce{A-} is the conjugate base (acetate) and HA is the weak acid (acetic acid). Substituting: pH=4.74+log⁡(0.20/0.10)=4.74+log⁡(2)=4.74+0.30=5.04\mathrm{pH} = 4.74 + \log(0.20/0.10) = 4.74 + \log(2) = 4.74 + 0.30 = 5.04. Because the conjugate base concentration exceeds the acid concentration, the pH sits above the pKa; if the two concentrations were equal, the pH would equal the pKa of 4.74.

  13. For the gas-phase reaction 2 A(g)+B(g)→C(g)\ce{2A(g) + B(g) -> C(g)}, which expression correctly represents the equilibrium constant KcK_c?

    • A.Kc=[A]2[B]/[C]K_c = [\ce{A}]^2 [\ce{B}] / [\ce{C}]
    • B.Kc=[C]/(2[A]+[B])K_c = [\ce{C}] / (2[\ce{A}] + [\ce{B}])
    • C.Kc=[C]/([A]2[B])K_c = [\ce{C}] / ([\ce{A}]^2 [\ce{B}])
    • D.Kc=([A][B])/[C]2K_c = ([\ce{A}][\ce{B}]) / [\ce{C}]^2
    Show answerHide answer

    Correct answer: Kc=[C]/([A]2[B])K_c = [\ce{C}] / ([\ce{A}]^2 [\ce{B}])

    The correct expression is Kc=[C]/([A]2[B])K_c = [\ce{C}] / ([\ce{A}]^2 [\ce{B}]). The equilibrium constant places product concentrations in the numerator and reactant concentrations in the denominator, with each concentration raised to the power of its stoichiometric coefficient. Coefficients become exponents, never multipliers added to the concentration, so the 2 in front of A appears as the exponent on [A][\ce{A}], not as a factor of 2 times [A][\ce{A}].

  14. For the reaction NX2(g)+3 HX2(g)→2 NHX3(g)\ce{N2(g) + 3H2(g) -> 2NH3(g)}, which relationship correctly converts between KpK_p and KcK_c at temperature TT (RR = gas constant)?

    • A.Kp=Kc(RT)−2K_p = K_c(RT)^{-2}
    • B.Kp=Kc(RT)−1K_p = K_c(RT)^{-1}
    • C.Kp=Kc(RT)3K_p = K_c(RT)^{3}
    • D.Kp=Kc(RT)2K_p = K_c(RT)^{2}
    Show answerHide answer

    Correct answer: Kp=Kc(RT)−2K_p = K_c(RT)^{-2}

    The correct relationship is Kp=Kc(RT)−2K_p = K_c(RT)^{-2}. The general formula is Kp=Kc(RT)ΔnK_p = K_c(RT)^{\Delta n}, where Δn\Delta n is the moles of gaseous product minus moles of gaseous reactant. Here Δn=2−(1+3)=−2\Delta n = 2 - (1 + 3) = -2, so the exponent is −2-2. KpK_p and KcK_c are equal only when Δn=0\Delta n = 0 (equal moles of gas on both sides), which is not the case for ammonia synthesis.

  15. For the equilibrium 2 SOX2(g)+OX2(g)→2 SOX3(g)\ce{2SO2(g) + O2(g) -> 2SO3(g)} (an exothermic reaction), which change will shift the equilibrium toward the products?

    • A.Increasing the temperature
    • B.Removing SOX3\ce{SO3} from the system
    • C.Adding an inert gas at constant volume
    • D.Decreasing the total pressure by increasing volume
    Show answerHide answer

    Correct answer: Removing SOX3\ce{SO3} from the system

    Removing SOX3\ce{SO3} shifts the equilibrium toward the products. By Le Chatelier's principle, removing a product causes the system to shift forward to replace it. Increasing temperature would shift an exothermic reaction backward (toward reactants), and increasing the volume favors the side with more moles of gas (the reactant side, with 3 moles versus 2). Adding an inert gas at constant volume changes no partial pressures, so it has no effect.

  16. What is the pH of a 0.0010 M solution of HCl\ce{HCl}, a strong acid, at 25 degrees C?

    • A.11.00
    • B.3.00
    • C.4.00
    • D.2.00
    Show answerHide answer

    Correct answer: 3.00

    The pH is 3.00. HCl\ce{HCl} is a strong acid that dissociates completely, so the hydronium ion concentration equals the acid concentration: [HX+]=0.0010[\ce{H+}] = 0.0010 M =1.0×10−3= 1.0 \times 10^{-3} M. Then pH=−log⁡[HX+]=−log⁡(1.0×10−3)=3.00\mathrm{pH} = -\log[\ce{H+}] = -\log(1.0 \times 10^{-3}) = 3.00. A weak acid at the same concentration would have a higher pH because it only partially ionizes, producing less HX+\ce{H+}.

  17. At 25 degrees C, the base ionization constant KbK_b for ammonia (NHX3\ce{NH3}) is 1.8×10−51.8 \times 10^{-5}. What is the acid ionization constant KaK_a for its conjugate acid, the ammonium ion (NHX4X+\ce{NH4+})?

    • A.1.8×10−191.8 \times 10^{-19}
    • B.1.0×10−141.0 \times 10^{-14}
    • C.1.8×10−51.8 \times 10^{-5}
    • D.5.6×10−105.6 \times 10^{-10}
    Show answerHide answer

    Correct answer: 5.6×10−105.6 \times 10^{-10}

    KaK_a for ammonium is 5.6×10−105.6 \times 10^{-10}. For any conjugate acid-base pair at 25 degrees C, Ka×Kb=Kw=1.0×10−14K_a \times K_b = K_w = 1.0 \times 10^{-14}. Solving for KaK_a: Ka=Kw/Kb=(1.0×10−14)/(1.8×10−5)=5.6×10−10K_a = K_w/K_b = (1.0 \times 10^{-14})/(1.8 \times 10^{-5}) = 5.6 \times 10^{-10}. Because ammonia is a relatively weak base, its conjugate acid ammonium is a correspondingly weak acid, which the small KaK_a confirms.

  18. A weak monoprotic acid HA has Ka=1.0×10−5K_a = 1.0 \times 10^{-5}. Using an ICE table for a 0.10 M solution and the approximation that x is small, what is the pH at equilibrium?

    • A.5.00
    • B.3.00
    • C.2.00
    • D.2.50
    Show answerHide answer

    Correct answer: 3.00

    The pH is 3.00. Setting up an ICE table for HA→HX++AX−\ce{HA -> H+ + A-}, with x as the amount that ionizes, gives Ka=x2/(0.10−x)K_a = x^2/(0.10 - x). Assuming x is small relative to 0.10, x2=Ka(0.10)=(1.0×10−5)(0.10)=1.0×10−6x^2 = K_a(0.10) = (1.0 \times 10^{-5})(0.10) = 1.0 \times 10^{-6}, so x=[HX+]=1.0×10−3x = [\ce{H+}] = 1.0 \times 10^{-3} M. Then pH=−log⁡(1.0×10−3)=3.00\mathrm{pH} = -\log(1.0 \times 10^{-3}) = 3.00. The small-x approximation is valid here because x (0.001) is only about 1 percent of 0.10.

  19. In a conjugate acid-base pair, how do the two species differ structurally?

    • A.They differ by one hydroxide ion (OHX−\ce{OH-})
    • B.They differ by one electron
    • C.They differ by one water molecule
    • D.They differ by one proton (HX+\ce{H+})
    Show answerHide answer

    Correct answer: They differ by one proton (HX+\ce{H+})

    A conjugate acid-base pair differs by a single proton (HX+\ce{H+}). The acid is the species with the extra proton, and its conjugate base is what remains after that proton is donated. For example, NHX4X+\ce{NH4+} (acid) and NHX3\ce{NH3} (base) form a conjugate pair, as do CHX3COOH\ce{CH3COOH} and CHX3COOX−\ce{CH3COO-}. The difference is exactly one HX+\ce{H+}, not an electron, hydroxide, or water molecule.

  20. Silver chloride (AgCl\ce{AgCl}) has a solubility product Ksp=1.8×10−10K_{sp} = 1.8 \times 10^{-10} at 25 degrees C. What is the molar solubility of AgCl\ce{AgCl} in pure water?

    • A.1.3×10−51.3 \times 10^{-5} M
    • B.1.8×10−101.8 \times 10^{-10} M
    • C.9.0×10−119.0 \times 10^{-11} M
    • D.1.8×10−51.8 \times 10^{-5} M
    Show answerHide answer

    Correct answer: 1.3×10−51.3 \times 10^{-5} M

    The molar solubility is about 1.3×10−51.3 \times 10^{-5} M. For AgCl(s)→AgX++ClX−\ce{AgCl(s) -> Ag+ + Cl-}, dissolving s moles per liter produces s moles of AgX+\ce{Ag+} and s moles of ClX−\ce{Cl-}, so Ksp=[AgX+][ClX−]=s2K_{sp} = [\ce{Ag+}][\ce{Cl-}] = s^2. Solving: s=1.8×10−10=1.3×10−5s = \sqrt{1.8 \times 10^{-10}} = 1.3 \times 10^{-5} M. The molar solubility is Ksp\sqrt{K_{sp}} for a 1:1 salt, not KspK_{sp} itself.

  21. For a reaction at equilibrium, a chemist computes the reaction quotient QQ and finds that QQ is greater than the equilibrium constant KK. In which direction will the net reaction proceed to reach equilibrium?

    • A.In the reverse direction, forming more reactants
    • B.It will not proceed; it is already at equilibrium
    • C.The direction cannot be determined from QQ and KK alone
    • D.In the forward direction, forming more products
    Show answerHide answer

    Correct answer: In the reverse direction, forming more reactants

    The reaction proceeds in the reverse direction, forming more reactants. The reaction quotient QQ has the same form as KK but uses current (non-equilibrium) concentrations. When QQ is greater than KK, there are too many products relative to equilibrium, so the net reaction shifts backward to consume products and rebuild reactants until QQ decreases to equal KK. When QQ is less than KK the reaction would instead move forward.

  22. Which statement correctly distinguishes a strong acid from a weak acid in aqueous solution?

    • A.A strong acid always has a higher concentration than a weak acid
    • B.A strong acid contains more hydrogen atoms per molecule than a weak acid
    • C.A strong acid ionizes completely, while a weak acid ionizes only partially
    • D.A strong acid has a larger KaK_a but still establishes an ionization equilibrium
    Show answerHide answer

    Correct answer: A strong acid ionizes completely, while a weak acid ionizes only partially

    A strong acid ionizes completely in water, while a weak acid ionizes only partially. Strong acids such as HCl\ce{HCl} dissociate essentially 100 percent, so writing an equilibrium constant is unnecessary because effectively no undissociated acid remains. A weak acid such as acetic acid reaches an equilibrium with a measurable KaK_a, leaving most of the acid undissociated. Strength refers to the degree of ionization, not to the concentration or the number of hydrogen atoms in the molecule.

  23. Reaction 1 (A⇌B\ce{A <=> B}) has equilibrium constant K1=2.0K_{1} = 2.0, and Reaction 2 (B⇌C\ce{B <=> C}) has K2=5.0K_{2} = 5.0. What is the equilibrium constant for the overall reaction A⇌C\ce{A <=> C}, obtained by adding Reaction 1 and Reaction 2?

    • A.10.0
    • B.7.0
    • C.2.5
    • D.0.4
    Show answerHide answer

    Correct answer: 10.0

    Correct answer: 10.0. Explanation: When two reactions are added to give an overall reaction, their equilibrium constants are multiplied, not added. Therefore Koverall=K1×K2=2.0×5.0=10.0K_{overall} = K_{1} \times K_{2} = 2.0 \times 5.0 = 10.0.

  24. For the heterogeneous equilibrium CaCOX3(s)⇌CaO(s)+COX2(g)\ce{CaCO3(s) <=> CaO(s) + CO2(g)}, which expression correctly represents the equilibrium constant KpK_{p}?

    • A.Kp=PCOX2K_{p} = P_{\ce{CO2}}
    • B.Kp=PCOX2×PCaOPCaCOX3K_{p} = \frac{P_{\ce{CO2}} \times P_{\ce{CaO}}}{P_{\ce{CaCO3}}}
    • C.Kp=PCaCOX3PCOX2K_{p} = \frac{P_{\ce{CaCO3}}}{P_{\ce{CO2}}}
    • D.Kp=1PCOX2K_{p} = \frac{1}{P_{\ce{CO2}}}
    Show answerHide answer

    Correct answer: Kp=PCOX2K_{p} = P_{\ce{CO2}}

    Correct answer: Kp=PCOX2K_{p} = P_{\ce{CO2}}. Explanation: Pure solids and pure liquids have activities equal to 1 and are omitted from the equilibrium expression. Because CaCOX3\ce{CaCO3} and CaO\ce{CaO} are both pure solids, only the gaseous COX2\ce{CO2} appears, giving Kp=PCOX2K_{p} = P_{\ce{CO2}}.

  25. A saturated solution of the slightly soluble salt PbIX2\ce{PbI2} is in contact with solid PbIX2\ce{PbI2}. According to the common-ion effect, what happens to the molar solubility of PbIX2\ce{PbI2} when soluble NaI\ce{NaI} is added to the solution?

    • A.The molar solubility of PbIX2\ce{PbI2} decreases.
    • B.The molar solubility of PbIX2\ce{PbI2} increases.
    • C.The molar solubility of PbIX2\ce{PbI2} is unchanged.
    • D.The value of KspK_{sp} for PbIX2\ce{PbI2} increases.
    Show answerHide answer

    Correct answer: The molar solubility of PbIX2\ce{PbI2} decreases.

    Correct answer: The molar solubility of PbIX2\ce{PbI2} decreases. Explanation: Adding NaI\ce{NaI} introduces the common ion IX−\ce{I-}, and by Le Chatelier's principle the dissolution equilibrium PbIX2(s)⇌PbX2++2 IX−\ce{PbI2(s) <=> Pb^2+ + 2I-} shifts toward the solid, lowering molar solubility. KspK_{sp} itself stays constant because it depends only on temperature.

Measurement and Data (27)

  1. In a titration experiment, a student uses phenolphthalein as an indicator, which changes color at a pH of about 8.3. If titrating a weak acid with a strong base, which of the following would be the best explanation for a titration curve that flattens near the endpoint?

    • A.The weak acid is only partially ionizing.
    • B.The base is volatile.
    • C.The indicator is not suitable for this titration.
    • D.The buffer region is extended.
    Show answerHide answer

    Correct answer: The buffer region is extended.

    Correct answer: The buffer region is extended. Explanation: In a titration involving a weak acid and a strong base, the titration curve flattens due to the formation of a buffer by the weak acid and its conjugate base as the pH approaches the endpoint. This buffer region extends the curve, making it less steep near the endpoint.

  2. During distillation, a chemist notices that the temperature on the thermometer reads consistently lower than expected. What is the most likely cause of this discrepancy?

    • A.The distillation path is too long.
    • B.There is an air leak in the distillation apparatus.
    • C.The heat source is insufficient.
    • D.The thermometer is calibrated incorrectly.
    Show answerHide answer

    Correct answer: There is an air leak in the distillation apparatus.

    Correct answer: There is an air leak in the distillation apparatus. Explanation: An air leak in the distillation apparatus would allow vapors to escape before reaching the thermometer, resulting in a lower than expected temperature reading, as the vapor composition reaching the thermometer does not represent the true boiling composition of the mixture being distilled.

  3. Which of the following laboratory errors is most likely to cause a systematic error in a gravimetric analysis experiment?

    • A.Using an uncalibrated balance.
    • B.Variability in ambient temperature.
    • C.Occasional spillage of sample.
    • D.Inconsistent drying times for precipitate.
    Show answerHide answer

    Correct answer: Using an uncalibrated balance.

    Correct answer: Using an uncalibrated balance. Explanation: A systematic error, which affects the accuracy of measurements in a consistent direction, can be introduced by using an uncalibrated balance. This would cause all mass measurements to be consistently incorrect by the same factor.

  4. In a synthesis experiment, a chemist uses a reflux setup. What is the primary purpose of refluxing a reaction mixture?

    • A.To increase the reaction rate by increasing temperature.
    • B.To prevent the loss of volatile reactants.
    • C.To purify the reaction products.
    • D.To decrease the pressure within the reaction vessel.
    Show answerHide answer

    Correct answer: To prevent the loss of volatile reactants.

    Correct answer: To prevent the loss of volatile reactants. Explanation: Refluxing a reaction mixture allows the reaction to be conducted at elevated temperatures without loss of solvent or volatile reactants, as vapors condense back into the liquid phase.

  5. What is the primary reason for using an ice bath in an exothermic reaction?

    • A.To increase the concentration of reactants.
    • B.To control the rate of reaction.
    • C.To purify the product.
    • D.To change the reaction pathway.
    Show answerHide answer

    Correct answer: To control the rate of reaction.

    Correct answer: To control the rate of reaction. Explanation: An ice bath is used in exothermic reactions to absorb excess heat, thereby controlling the reaction rate and preventing the reaction from proceeding too quickly or violently.

  6. When calibrating a pH meter, why is it important to use more than one standard buffer solution?

    • A.To check for the linearity of the pH meter.
    • B.To extend the life of the pH meter.
    • C.To increase the accuracy of non-standard solutions.
    • D.To decrease measurement time.
    Show answerHide answer

    Correct answer: To check for the linearity of the pH meter.

    Correct answer: To check for the linearity of the pH meter. Explanation: Using multiple standard buffer solutions at different pH values allows the calibration process to establish and verify the linearity of the pH meter across a range of pH values.

  7. In an analytical chemistry lab, why is it important to perform a blank titration?

    • A.To determine the end point more accurately.
    • B.To measure the impurities in the reagents.
    • C.To establish the titration curve baseline.
    • D.To consume all of the analyte.
    Show answerHide answer

    Correct answer: To measure the impurities in the reagents.

    Correct answer: To measure the impurities in the reagents. Explanation: Performing a blank titration, where all reagents except the analyte are included, helps measure and account for any impurities or background levels in the reagents used, thus improving the accuracy of the final result.

  8. Which method is most appropriate for separating non-volatile compounds from a volatile solvent?

    • A.Filtration.
    • B.Distillation.
    • C.Sublimation.
    • D.Rotavapor (rotary evaporation).
    Show answerHide answer

    Correct answer: Rotavapor (rotary evaporation).

    Correct answer: Rotavapor (rotary evaporation). Explanation: Rotary evaporation is ideal for removing volatile solvents from non-volatile compounds, utilizing reduced pressure to aid in the gentle and efficient evaporation of the solvent.

  9. In a chemical synthesis involving sensitive reagents, what is the primary reason for using an inert atmosphere?

    • A.To prevent oxidation of the reagents.
    • B.To increase the reaction temperature.
    • C.To purify the reagents.
    • D.To visualize the reaction.
    Show answerHide answer

    Correct answer: To prevent oxidation of the reagents.

    Correct answer: To prevent oxidation of the reagents. Explanation: Using an inert atmosphere, such as nitrogen or argon, prevents sensitive reagents from reacting with oxygen or moisture from the air, thus preserving their reactivity and integrity.

  10. What is the advantage of using a microwave reactor in organic synthesis over conventional heating methods?

    • A.It increases the yield of the reaction.
    • B.It decreases the reaction time.
    • C.It allows for a higher reaction temperature.
    • D.It eliminates the need for solvents.
    Show answerHide answer

    Correct answer: It decreases the reaction time.

    Correct answer: It decreases the reaction time. Explanation: Microwave reactors can rapidly heat the reaction mixture, often uniformly, which significantly decreases the reaction time compared to conventional heating methods.

  11. A rectangular metal plate is measured as 4.18 cm long and 2.6 cm wide. Following the rules for significant figures, how should the area be reported?

    • A.10.9 cm2^2
    • B.11 cm2^2
    • C.10.87 cm2^2
    • D.10.868 cm2^2
    Show answerHide answer

    Correct answer: 11 cm2^2

    The area should be reported as 11 cm2^2. For multiplication and division, the result keeps the same number of significant figures as the factor with the fewest significant figures. Here 4.18 cm has three significant figures and 2.6 cm has only two, so the product 10.868 cm2^2 must be rounded to two significant figures, giving 11 cm2^2. Reporting 10.9 cm2^2 wrongly keeps three significant figures, which overstates the precision allowed by the least precise measurement.

  12. A solution is analyzed with a spectrophotometer using a 2.00 cm cuvette. The absorbing species has a molar absorptivity of 1200 M−1^{-1} cm−1^{-1} at the chosen wavelength, and the measured absorbance is 0.480. Using the Beer-Lambert law, what is the concentration of the species?

    • A.2.00×10−42.00 \times 10^{-4} M
    • B.4.00×10−44.00 \times 10^{-4} M
    • C.1.00×10−31.00 \times 10^{-3} M
    • D.5.76×1025.76 \times 10^{2} M
    Show answerHide answer

    Correct answer: 2.00×10−42.00 \times 10^{-4} M

    The concentration is 2.00×10−42.00 \times 10^{-4} M. The Beer-Lambert law is A=εbcA = \varepsilon b c, where A is absorbance, ε\varepsilon is molar absorptivity, b is path length, and c is concentration. Solving for c gives c=A/(εb)=0.480/(1200 M−1cm−1×2.00 cm)=0.480/2400=2.00×10−4c = A/(\varepsilon b) = 0.480/(1200 \text{ M}^{-1}\text{cm}^{-1} \times 2.00 \text{ cm}) = 0.480/2400 = 2.00 \times 10^{-4} M. The value 4.00×10−44.00 \times 10^{-4} M comes from forgetting to include the 2.00 cm path length and dividing only by the molar absorptivity.

  13. A car travels at 55 km/h. Using dimensional analysis with the conversions 1 km = 1000 m and 1 h = 3600 s, what is this speed in meters per second (to two significant figures)?

    • A.3.3 m/s
    • B.20. m/s
    • C.0.92 m/s
    • D.15 m/s
    Show answerHide answer

    Correct answer: 15 m/s

    The speed is about 15 m/s. Dimensional analysis cancels units by multiplying by conversion factors arranged so unwanted units cancel: (55 km/h)×(1000 m/1 km)×(1 h/3600 s)=55000/3600=15.3(55 \text{ km/h}) \times (1000 \text{ m} / 1 \text{ km}) \times (1 \text{ h} / 3600 \text{ s}) = 55000/3600 = 15.3, which rounds to 15 m/s. The km and h units cancel, leaving m/s. The value 0.92 m/s results from incorrectly inverting a factor and dividing by 1000 instead of multiplying.

  14. A student adds three volumes of water from different graduated glassware: 12.11 mL, 18.0 mL, and 1.013 mL. Applying significant-figure rules for addition, what is the correctly reported total volume?

    • A.31.12 mL
    • B.31.123 mL
    • C.31 mL
    • D.31.1 mL
    Show answerHide answer

    Correct answer: 31.1 mL

    The total should be reported as 31.1 mL. For addition and subtraction, the answer is limited to the fewest decimal places among the measurements, not the fewest significant figures. The raw sum is 31.123 mL, but 18.0 mL has only one decimal place, so the result must be rounded to one decimal place, giving 31.1 mL. Keeping 31.12 mL incorrectly applies the multiplication rule (counting significant figures) instead of the decimal-place rule.

  15. Four students each measure the mass of an object whose true value is 5.00 g. Their replicate readings cluster tightly around 4.20 g. How are these results best described?

    • A.Both accurate and precise
    • B.Precise but not accurate
    • C.Accurate but not precise
    • D.Neither accurate nor precise
    Show answerHide answer

    Correct answer: Precise but not accurate

    The results are precise but not accurate. Precision describes how closely repeated measurements agree with one another, while accuracy describes how close a measurement is to the true or accepted value. Readings tightly clustered around 4.20 g agree well with each other (high precision) but are far from the true 5.00 g (low accuracy), which points to a systematic error such as an uncalibrated balance. They are not accurate, because closeness to the true value is what defines accuracy.

  16. A balance reads 0.0000 g when nothing is on the pan, but a 50.000 g certified reference mass reads 49.500 g. Which best describes the type of error this balance introduces?

    • A.A proportional systematic error, because the deviation grows with the measured value
    • B.A random error, because each reading is independent of the last
    • C.A constant offset error, because the same amount is added to every reading
    • D.No error at all, because the zero point is correct
    Show answerHide answer

    Correct answer: A proportional systematic error, because the deviation grows with the measured value

    Correct answer: A proportional systematic error, because the deviation grows with the measured value. The balance reads zero correctly at zero mass but is low by 1% (0.500 g out of 50.000 g) at higher mass, so the error scales with the quantity measured. A constant offset would shift every reading by the same fixed amount even at zero, and random error would not reproduce the same low reading consistently.

  17. A student measures the same sample five times and reports 12.34, 12.36, 12.35, 12.33, and 12.35 g, but the accepted value is 11.90 g. These results are best described as:

    • A.Accurate but not precise
    • B.Precise but not accurate
    • C.Both accurate and precise
    • D.Neither accurate nor precise
    Show answerHide answer

    Correct answer: Precise but not accurate

    Correct answer: Precise but not accurate. The five readings agree closely with one another (a spread of only 0.03 g), which defines precision, but they cluster well above the accepted value of 11.90 g, so they are inaccurate. Accuracy refers to closeness to the true value, while precision refers to reproducibility among repeated measurements.

  18. How many significant figures are present in the measurement 0.004080 km?

    • A.Six
    • B.Three
    • C.Four
    • D.Seven
    Show answerHide answer

    Correct answer: Four

    Correct answer: Four. The leading zeros before the 4 are not significant because they only set the decimal place; the digits 4, 0, 8, and the trailing 0 after the decimal point are all significant. Thus 0.004080 km contains four significant figures.

  19. A measured length is 7.96 cm and the true length is 8.00 cm. What is the percent error of the measurement?

    • A.0.40%
    • B.0.04%
    • C.5.0%
    • D.0.50%
    Show answerHide answer

    Correct answer: 0.50%

    Correct answer: 0.50%. Percent error equals the absolute value of (measured minus true) divided by true, times 100. Here that is ∣7.96−8.00∣8.00×100=0.048.00×100=0.50%\frac{|7.96 - 8.00|}{8.00} \times 100 = \frac{0.04}{8.00} \times 100 = 0.50\%.

  20. When a result is computed as 4.5612/2.14.5612 / 2.1, how many significant figures should appear in the final reported answer?

    • A.Two, matching the factor with the fewest significant figures
    • B.Five, matching the factor with the most significant figures
    • C.Four, the average number of significant figures
    • D.Three, because division always yields three
    Show answerHide answer

    Correct answer: Two, matching the factor with the fewest significant figures

    Correct answer: Two, matching the factor with the fewest significant figures. For multiplication and division, the result carries the same number of significant figures as the least precise factor. Since 2.1 has only two significant figures, the quotient must be rounded to two significant figures regardless of how many digits the calculator displays.

  21. Which of the following measured quantities, all in grams, is recorded with the greatest number of significant figures?

    • A.10350
    • B.0.0103500
    • C.1.035
    • D.0.001035
    Show answerHide answer

    Correct answer: 0.0103500

    Correct answer: 0.0103500. Its significant digits are 1, 0, 3, 5, 0, 0 for a total of six, since trailing zeros after a decimal point count. By comparison 1.035 and 0.001035 each have four, and 10350 has four (the trailing zero is ambiguous and conventionally not counted without a decimal point).

  22. A density is calculated by dividing a mass with relative uncertainty of 1.0% by a volume with relative uncertainty of 2.0%. What is the approximate relative uncertainty in the calculated density?

    • A.About 2.0%
    • B.About 0.5%
    • C.About 3.0%
    • D.About 1.5%
    Show answerHide answer

    Correct answer: About 3.0%

    Correct answer: About 3.0%. When two quantities are multiplied or divided, their relative (percent) uncertainties add. Here 1.0% from the mass plus 2.0% from the volume gives roughly 3.0% relative uncertainty in the resulting density.

  23. Expressed in proper scientific notation, the number 0.0000562 is written as:

    • A.0.562×10−40.562 \times 10^{-4}
    • B.56.2×10−656.2 \times 10^{-6}
    • C.5.62×1055.62 \times 10^{5}
    • D.5.62×10−55.62 \times 10^{-5}
    Show answerHide answer

    Correct answer: 5.62×10−55.62 \times 10^{-5}

    Correct answer: 5.62×10−55.62 \times 10^{-5}. Proper scientific notation places exactly one nonzero digit to the left of the decimal point; moving the decimal in 0.0000562 five places to the right gives 5.62 and a factor of 10−510^{-5}. The other forms either have the wrong coefficient placement or the wrong sign on the exponent.

  24. Which piece of common volumetric glassware is designed to deliver a single fixed volume with the smallest uncertainty for quantitative work?

    • A.A graduated (Mohr) pipette
    • B.A volumetric pipette
    • C.A beaker with volume graduations
    • D.An Erlenmeyer flask
    Show answerHide answer

    Correct answer: A volumetric pipette

    Correct answer: A volumetric pipette. It is calibrated to deliver one specific volume (such as 25.00 mL) with very low tolerance, making it the most precise of these for quantitative transfers. Graduated pipettes are less precise across their range, while beakers and Erlenmeyer flasks carry only rough graduations meant for approximate volumes.

  25. When the value 23.4548 is rounded to three significant figures, the correct result is:

    • A.23.45
    • B.23.4
    • C.23.5
    • D.23.455
    Show answerHide answer

    Correct answer: 23.5

    Correct answer: 23.5. Keeping three significant figures means retaining the digits 2, 3, and 4; the first dropped digit is 5 (followed by more nonzero digits), so the retained 4 rounds up to 5. The other options either fail to round up or keep too many significant figures.

  26. A 25.00 mL volume measurement is made with a buret that can be read to the nearest 0.01 mL. How many significant figures does the recorded measurement 25.00 mL contain?

    • A.Four
    • B.Two
    • C.Three
    • D.Five
    Show answerHide answer

    Correct answer: Four

    Correct answer: four. In 25.00 mL, both nonzero digits and the two trailing zeros after the decimal point are significant because they reflect the precision of the buret, giving four significant figures. Reporting two or three would discard meaningful trailing zeros, and five would imply a digit that was not actually measured.

  27. A student divides a measured mass of 3.0 g by a measured volume of 1.27 mL to find density. To how many significant figures should the calculated density be reported?

    • A.Two significant figures
    • B.One significant figure
    • C.Three significant figures
    • D.Four significant figures
    Show answerHide answer

    Correct answer: Two significant figures

    Correct answer: two significant figures. In multiplication and division, the result keeps as many significant figures as the least precise factor; here 3.0 g has two significant figures and 1.27 mL has three, so the answer is limited to two. Reporting one would discard a known digit, and reporting three or four would overstate the precision allowed by the 3.0 g value.

Visualization and Scale (19)

  1. In chemistry, the same phenomenon can be described at three levels of representation. Which set correctly names these three levels?

    • A.Reactant, intermediate, and product
    • B.Kinetic, potential, and thermal
    • C.Particulate, macroscopic, and symbolic
    • D.Solid, liquid, and gas
    Show answerHide answer

    Correct answer: Particulate, macroscopic, and symbolic

    The three levels are particulate, macroscopic, and symbolic. The particulate level pictures individual atoms, ions, and molecules; the macroscopic level describes bulk observations such as color, mass, and bubbling; and the symbolic level uses formulas, equations, and graphs. Fluently translating among these three levels is the core skill of the visualization and scale concept. Solid, liquid, and gas are physical states, not levels of representation.

  2. A student writes 2 HX2(g)+OX2(g)→2 HX2O(g)\ce{2H2(g) + O2(g) -> 2H2O(g)}. This statement is BEST described as which level of representation?

    • A.Macroscopic
    • B.Symbolic
    • C.Empirical
    • D.Particulate
    Show answerHide answer

    Correct answer: Symbolic

    A balanced chemical equation is a symbolic representation. Symbols such as HX2\ce{H2}, OX2\ce{O2}, and the arrow stand in for substances and the process of reaction, without literally drawing the individual molecules (particulate) or describing what is seen or measured in the flask (macroscopic). Recognizing that an equation is shorthand for particle-level events is central to moving between the symbolic and particulate levels.

  3. On the order-of-magnitude scale, the diameter of a typical atom is closest to which value?

    • A.About 1×10−101 \times 10^{-10} meters
    • B.About 1×10−31 \times 10^{-3} meters
    • C.About 1×10−151 \times 10^{-15} meters
    • D.About 1×10−61 \times 10^{-6} meters
    Show answerHide answer

    Correct answer: About 1×10−101 \times 10^{-10} meters

    A typical atomic diameter is about 1×10−101 \times 10^{-10} meters, which is 100 picometers or 1 angstrom. The value 1×10−61 \times 10^{-6} m is a micrometer (the scale of bacteria), 1×10−31 \times 10^{-3} m is a millimeter (visible), and 1×10−151 \times 10^{-15} m is roughly the scale of an atomic nucleus, which is about 100,000 times smaller than the whole atom.

  4. Avogadro's number serves primarily as a conversion bridge between which two levels of chemical description?

    • A.The symbolic and graphical levels
    • B.The particulate (number of particles) and macroscopic (grams) levels
    • C.The kinetic and thermodynamic levels
    • D.The solid and gaseous states
    Show answerHide answer

    Correct answer: The particulate (number of particles) and macroscopic (grams) levels

    Avogadro's number, about 6.022×10236.022 \times 10^{23} particles per mole, bridges the particulate and macroscopic levels. It connects an unimaginably large count of individual atoms or molecules to a laboratory-scale, weighable quantity in grams. This is why the mole is described as chemistry's link between counting particles and massing samples.

  5. Roughly how many water molecules are present in one mole of water (about 18 grams)?

    • A.About 6×10116 \times 10^{11}
    • B.About 6×10236 \times 10^{23}
    • C.About 18
    • D.About 1×1061 \times 10^{6}
    Show answerHide answer

    Correct answer: About 6×10236 \times 10^{23}

    One mole of any substance contains about 6.022×10236.022 \times 10^{23} particles, so 18 grams of water holds about 6×10236 \times 10^{23} molecules. The number 18 is the molar mass in grams, not the count of molecules, illustrating how a small, weighable amount contains an enormous number of particles. This contrast is the heart of grasping chemical scale.

  6. Which observation belongs to the MACROSCOPIC level rather than the particulate or symbolic level?

    • A.A strip of magnesium burns with a bright white flame and leaves a white powder
    • B.The reaction is written as 2 Mg+OX2→2 MgO\ce{2Mg + O2 -> 2MgO}
    • C.Each oxygen atom gains two electrons in the process
    • D.Mg\ce{Mg} atoms each lose two electrons to form MgX2+\ce{Mg^2+} ions
    Show answerHide answer

    Correct answer: A strip of magnesium burns with a bright white flame and leaves a white powder

    The bright white flame and white powder are macroscopic observations: properties you can see and collect in the laboratory. Describing Mg\ce{Mg} atoms losing electrons or oxygen atoms gaining electrons is particulate, and writing the balanced equation is symbolic. Sorting an observation into the correct level is a key visualization skill.

  7. If a single carbon atom were magnified until it appeared the size of a small marble (about 1 centimeter), an everyday object scaled by the same factor would change from 1 centimeter to roughly what size?

    • A.About 1,000 kilometers
    • B.About 10 meters
    • C.About 1 kilometer
    • D.About 1 meter
    Show answerHide answer

    Correct answer: About 1,000 kilometers

    About 1,000 kilometers is correct. A carbon atom is roughly 1×10−101 \times 10^{-10} m and a marble is about 1×10−21 \times 10^{-2} m, a magnification of about 1×1081 \times 10^{8}. Applying that same factor to a 1-centimeter object (1×10−21 \times 10^{-2} m) gives about 1×1061 \times 10^{6} m, or 1,000 km. This kind of proportional reasoning reveals just how small atoms are relative to everyday scales.

  8. Which comparison of relative sizes within an atom is correct?

    • A.The nucleus and the whole atom are roughly the same size
    • B.The nucleus is about 10,000 to 100,000 times smaller in diameter than the whole atom
    • C.Electrons are larger than the nucleus
    • D.The nucleus fills most of the atom's volume
    Show answerHide answer

    Correct answer: The nucleus is about 10,000 to 100,000 times smaller in diameter than the whole atom

    The nucleus is about 10,000 to 100,000 times smaller in diameter than the entire atom, so almost all of an atom's volume is empty space occupied by the electron cloud. Although the nucleus is tiny, it holds nearly all of the atom's mass. The idea that the nucleus fills most of the volume is a common misconception that this scale comparison corrects.

  9. Place these objects in order from SMALLEST to LARGEST: a proton, a water molecule, an atom of helium, a virus particle. Which order is correct?

    • A.Water molecule, proton, helium atom, virus
    • B.Proton, helium atom, water molecule, virus
    • C.Helium atom, proton, virus, water molecule
    • D.Proton, water molecule, helium atom, virus
    Show answerHide answer

    Correct answer: Proton, helium atom, water molecule, virus

    From smallest to largest the order is proton, helium atom, water molecule, virus. A proton sits at the subatomic (femtometer) scale, a helium atom is a small single atom (about 0.05 nm radius), a water molecule made of three atoms is larger (about 0.14 nm radius), and a virus (tens of nanometers) is far bigger than any single small molecule. Ranking objects across scales builds intuition for relative size.

  10. A graph of volume versus temperature for a fixed amount of gas, plotted as a straight line, is an example of which level of chemical representation?

    • A.Macroscopic
    • B.Particulate
    • C.Symbolic
    • D.Nuclear
    Show answerHide answer

    Correct answer: Symbolic

    A graph is a symbolic representation because it uses an abstract mathematical form (axes, a line, a relationship) to stand for the behavior of the system. The underlying measured volumes and temperatures are macroscopic data, but the graph itself, like an equation, is symbolic. Charts, equations, and formulas all belong to the symbolic level.

  11. Which scenario correctly connects a macroscopic observation to its particle-level explanation?

    • A.A balloon expands when warmed because the gas particles move faster and strike the walls more forcefully and frequently
    • B.A solution conducts electricity because the water molecules themselves carry charge
    • C.Ice floats on water because solid molecules weigh less than liquid molecules
    • D.A balloon expands when warmed because the gas atoms grow larger in size
    Show answerHide answer

    Correct answer: A balloon expands when warmed because the gas particles move faster and strike the walls more forcefully and frequently

    A warmed balloon expands because the gas particles move faster, hitting the walls harder and more often, increasing pressure and volume. Particles do not change size with temperature, individual molecules do not change mass between phases, and in an electrolyte it is the dissolved ions, not the water molecules, that carry charge. Linking a bulk observation to correct particle behavior is the essence of visualization.

  12. Expressed in scientific notation, a measurement of 0.000045 grams is written as which of the following?

    • A.4.5×1054.5 \times 10^{5} g
    • B.4.5×10−44.5 \times 10^{-4} g
    • C.4.5×10−54.5 \times 10^{-5} g
    • D.45×10−545 \times 10^{-5} g
    Show answerHide answer

    Correct answer: 4.5×10−54.5 \times 10^{-5} g

    The value 0.000045 g equals 4.5×10−54.5 \times 10^{-5} g. The decimal point must move five places to the right to reach 4.5, giving an exponent of -5. Scientific notation is the standard tool for handling the very small and very large numbers that span chemistry's scales, from subatomic distances to moles of particles.

  13. Which statement about scale in chemistry is correct?

    • A.Avogadro's number is large because atoms are unusually heavy
    • B.Avogadro's number is enormous because individual atoms and molecules are extraordinarily small, so a weighable sample contains a vast number of them
    • C.One mole of a gas always occupies one liter under all conditions
    • D.A single atom can be seen with an ordinary light microscope
    Show answerHide answer

    Correct answer: Avogadro's number is enormous because individual atoms and molecules are extraordinarily small, so a weighable sample contains a vast number of them

    Avogadro's number is huge precisely because atoms and molecules are so tiny that a gram-scale, weighable sample must contain on the order of 102310^{23} of them. Atoms are extremely light, not heavy; molar gas volume depends on temperature and pressure; and single atoms are far too small to resolve with visible light. Connecting the size of particles to the magnitude of the mole demonstrates fluency with chemical scale.

  14. A chemist records that a blue copper(II) sulfate solution turns colorless when zinc metal is added and a reddish solid forms. At which level of chemical representation is this description being made?

    • A.The macroscopic level, because it reports color changes and solids that can be directly observed
    • B.The particulate level, because it describes how individual atoms rearrange
    • C.The symbolic level, because it uses a balanced chemical equation
    • D.The mathematical level, because it involves a graph of concentration
    Show answerHide answer

    Correct answer: The macroscopic level, because it reports color changes and solids that can be directly observed

    This is the macroscopic level. Observations of color change (blue to colorless) and the appearance of a reddish solid are bulk properties detected directly with the senses or simple instruments, which defines the macroscopic level. The particulate level would describe rearranging atoms or ions, and the symbolic level would use formulas or equations such as Zn+CuSOX4→ZnSOX4+Cu\ce{Zn + CuSO4 -> ZnSO4 + Cu}.

  15. When a chemist sketches individual molecules as connected spheres to explain why a sample behaves the way it does, the sketch operates at which level of chemical representation?

    • A.The macroscopic level
    • B.The particulate level
    • C.The symbolic level
    • D.The thermodynamic level
    Show answerHide answer

    Correct answer: The particulate level

    The correct answer is the particulate level. Drawings that depict individual atoms, ions, or molecules as spheres to explain behavior represent matter at the scale of particles, which is the particulate (submicroscopic) level. The macroscopic level deals with bulk observations, while the symbolic level uses formulas, equations, and symbols rather than pictures of particles.

  16. In scientific notation, the number 6,500,000 is written correctly as which of the following?

    • A.6.5×10−66.5 \times 10^{-6}
    • B.6.5×1066.5 \times 10^{6}
    • C.65×10565 \times 10^{5}
    • D.0.65×1070.65 \times 10^{7}
    Show answerHide answer

    Correct answer: 6.5×1066.5 \times 10^{6}

    The correct form is 6.5×1066.5 \times 10^{6}. Proper scientific notation requires a coefficient that is at least 1 but less than 10, and 6,500,000 has the decimal moved six places left to give 6.5×1066.5 \times 10^{6}. The negative exponent 6.5×10−66.5 \times 10^{-6} represents a tiny number, while 65×10565 \times 10^{5} and 0.65×1070.65 \times 10^{7} have coefficients outside the required 1-to-10 range even though they are numerically equal.

  17. Why must chemists use models such as particle drawings and chemical formulas instead of directly observing single atoms during ordinary laboratory work?

    • A.Models are required by law to replace direct observation in chemistry
    • B.Atoms move too quickly to be photographed even though they are large enough to see
    • C.Atoms are invisible only when they are part of a compound
    • D.Individual atoms are far too small to be seen with the eye or an ordinary microscope, so models represent what cannot be directly observed
    Show answerHide answer

    Correct answer: Individual atoms are far too small to be seen with the eye or an ordinary microscope, so models represent what cannot be directly observed

    The correct answer is that individual atoms are far too small to be seen with the eye or an ordinary microscope, so models represent the unobservable particulate level. Atoms are about 10−1010^{-10} m across, far below the resolution of visible light, so chemists rely on particle drawings and symbolic formulas to picture and communicate what happens at that scale. The other choices misstate the size or invent rules that do not exist.

  18. Arrange the following from the LARGEST diameter to the SMALLEST: a grain of table salt, a bacterial cell, a single atom. Which order is correct?

    • A.Grain of salt > bacterial cell > single atom
    • B.Single atom > bacterial cell > grain of salt
    • C.Bacterial cell > grain of salt > single atom
    • D.Grain of salt > single atom > bacterial cell
    Show answerHide answer

    Correct answer: Grain of salt > bacterial cell > single atom

    The correct order from largest to smallest is grain of salt > bacterial cell > single atom. A grain of salt is roughly a fraction of a millimeter (about 10−410^{-4} m), a bacterial cell is about a micrometer (10−610^{-6} m), and a single atom is about 10−1010^{-10} m. This spans the macroscopic, cellular, and atomic scales in decreasing size, while the other orderings misplace at least one of these well-known scale values.

  19. A sample of 0.0250 mol of a substance contains approximately how many representative particles, using Avogadro's number as the bridge between moles and particles?

    • A.About 1.51×10221.51 \times 10^{22} particles
    • B.About 6.02×10236.02 \times 10^{23} particles
    • C.About 2.41×10252.41 \times 10^{25} particles
    • D.About 1.51×10211.51 \times 10^{21} particles
    Show answerHide answer

    Correct answer: About 1.51×10221.51 \times 10^{22} particles

    Correct answer: about 1.51×10221.51 \times 10^{22} particles. Multiplying 0.0250 mol by Avogadro's number, 6.02×10236.02 \times 10^{23} particles per mole, gives 1.505×10221.505 \times 10^{22} particles, which connects the laboratory-scale amount to the particle-scale count. Using 6.02×10236.02 \times 10^{23} ignores the 0.0250 mole factor, while 102510^{25} and 102110^{21} reflect errors in handling the powers of ten.

References

  1. 1.ACS Division of Chemical Education Examinations Institute. “ACS Exams — General Chemistry exams (official overview).” uwm.edu/acs-exams. ↑
  2. 2.ACS Division of Chemical Education Examinations Institute. “Student Study Materials — Official Guide for General Chemistry.” uwm.edu/acs-exams. ↑
  3. 3.American Chemical Society. “ACS Exams Institute — exam development and national norming.” acs.org. ↑
  4. 4.University of Georgia Department of Chemistry. “ACS Exams — General Chemistry exam format (~70 questions, ~2 hours).” chem.uga.edu. ↑
  5. 5.ACS Division of Chemical Education Examinations Institute. “Exam Statistics — National Norms (percentile norm-referenced scoring).” uwm.edu/acs-exams. ↑
  6. 6.Holme, T. & Murphy, K.. “The ACS Exams Institute Undergraduate Chemistry Anchoring Concepts Content Map I: General Chemistry.” J. Chem. Educ. (pubs.acs.org). ↑
  7. 7.Career Employer. “ACS General Chemistry Exam practice-test performance data.” careeremployer.com, updated daily, CC BY 4.0. ↑
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