ACS General Chemistry Practice Test 1

60 original exam-style multiple-choice questions with answers & explanations — covering every major topic tested on the ACS General Chemistry exam.

Note: These are original practice questions written in the ACS exam style — not reproduced exam questions. Use them to test your readiness for the real ACS General Chemistry exam.

📱 How to use: Try each question first, then click “Show Answer” to check. Covers: atomic structure, bonding, stoichiometry, gases, thermochemistry, kinetics, equilibrium, acids & bases, electrochemistry and more.

⚛ Atomic Structure & Periodic Trends

Q1The ground-state electron configuration of copper (Z = 29) is

(A) [Ar] 4s^2 3d^9
(B) [Ar] 4s^1 3d^10
(C) [Ar] 4s^2 3d^8 4p^1
(D) [Kr] 5s^1 4d^10
Show Answer

Correct: (B)

A half-filled 4s and a completely filled 3d subshell is more stable, so one 4s electron is promoted to give [Ar] 4s^1 3d^10.

Q2Which of the following elements has the highest first ionization energy?

(A) Si
(B) P
(C) S
(D) Cl
Show Answer

Correct: (D)

Ionization energy increases across a period with increasing effective nuclear charge; Cl is farthest right of the four.

Q3Which list orders the atoms by increasing atomic radius?

(A) F < O < Cl < S
(B) O < F < Cl < S
(C) F < O < S < Cl
(D) S < Cl < O < F
Show Answer

Correct: (A)

Atomic radius decreases across a period (F < O) and increases down a group (O < S, F < Cl), giving F < O < Cl < S.

Q4Chlorine has two isotopes: ^35Cl (34.969 u, 75.78% abundance) and ^37Cl (36.966 u, 24.22% abundance). The average atomic mass of chlorine is closest to

(A) 34.97 u
(B) 35.21 u
(C) 35.45 u
(D) 36.97 u
Show Answer

Correct: (C)

(34.969 × 0.7578) + (36.966 × 0.2422) = 26.50 + 8.95 = 35.45 u.

Q5Which atom has the most exothermic (largest magnitude) electron affinity?

(A) F
(B) Ne
(C) N
(D) O
Show Answer

Correct: (A)

Electron affinity becomes more exothermic across a period; F (328 kJ/mol) exceeds O, N is slightly endothermic, and Ne does not form a stable anion.

Q6The photoelectron spectrum of a gaseous element shows three peaks with relative intensities 2 : 2 : 4, corresponding to the 1s, 2s, and 2p subshells. The element is

(A) nitrogen
(B) fluorine
(C) magnesium
(D) oxygen
Show Answer

Correct: (D)

Intensities 2 : 2 : 4 correspond to 1s^2 2s^2 2p^4, which is the configuration of oxygen.

🔬 Chemical Bonding & Molecular Geometry

Q7In the best Lewis structure of the thiocyanate ion, NCS^-, the formal charge on the carbon atom is

(A) −2
(B) −1
(C) 0
(D) +1
Show Answer

Correct: (C)

In [N≡C−S]^-, carbon forms four bonds and has no lone pairs: 4 − (8/2) = 0.

Q8The molecular geometry of XeF4 is

(A) tetrahedral
(B) square planar
(C) seesaw
(D) square pyramidal
Show Answer

Correct: (B)

Xe has six electron domains (4 bonding pairs + 2 lone pairs); the lone pairs occupy axial positions, leaving a square planar shape.

Q9Which molecule has the smallest bond angle?

(A) BF3
(B) CH4
(C) H2O
(D) NH3
Show Answer

Correct: (C)

H2O is bent with an angle of about 104.5°, smaller than NH3 (107°), CH4 (109.5°), and BF3 (120°).

Q10The hybridization of the central sulfur atom in SF4 is

(A) sp^3d
(B) sp^3
(C) sp^2
(D) sp^3d^2
Show Answer

Correct: (A)

SF4 has five electron domains (4 bonds + 1 lone pair), requiring five hybrid orbitals: sp^3d.

Q11How many sigma (σ) and pi (π) bonds are present in one molecule of HCN?

(A) 3 σ, 1 π
(B) 4 σ, 0 π
(C) 2 σ, 3 π
(D) 2 σ, 2 π
Show Answer

Correct: (D)

The H−C single bond contributes 1 σ, and the C≡N triple bond contributes 1 σ + 2 π, for a total of 2 σ and 2 π.

Q12Which molecule has a dipole moment of zero?

(A) H2O
(B) CO2
(C) NH3
(D) SO2
Show Answer

Correct: (B)

CO2 is linear, so the two equal and opposite C=O bond dipoles cancel.

Q13Which compound has the highest lattice energy?

(A) NaBr
(B) NaCl
(C) KCl
(D) MgO
Show Answer

Correct: (D)

Lattice energy increases with ionic charge; MgO contains Mg^2+ and O^2-, giving far stronger attraction than the +1/−1 salts.

🧪 Stoichiometry & Aqueous Reactions

Q14How many atoms are in 12.0 g of magnesium? (molar mass Mg = 24.3 g/mol; Avogadro's number = 6.022 × 10^23)

(A) 2.97 × 10^23
(B) 5.94 × 10^23
(C) 6.02 × 10^23
(D) 1.19 × 10^24
Show Answer

Correct: (A)

12.0 g / 24.3 g/mol = 0.4938 mol; 0.4938 × 6.022 × 10^23 = 2.97 × 10^23 atoms.

Q158.0 g of H2 (2.02 g/mol) reacts with 32.0 g of O2 (32.00 g/mol) according to 2H2 + O2 → 2H2O. What is the maximum mass of water (18.02 g/mol) that can form?

(A) 18.0 g
(B) 32.0 g
(C) 36.0 g
(D) 72.0 g
Show Answer

Correct: (C)

8.0 g H2 = 3.96 mol H2 needs 1.98 mol O2, but only 1.00 mol O2 is present, so O2 limits: 1.00 mol O2 → 2.00 mol H2O = 36.0 g.

Q1625.0 g of CaCO3 (100.1 g/mol) is heated: CaCO3 → CaO + CO2. If 11.2 g of CaO (56.08 g/mol) is obtained, the percent yield is

(A) 44.8%
(B) 80.0%
(C) 112%
(D) 125%
Show Answer

Correct: (B)

Theoretical CaO = (25.0 / 100.1) × 56.08 = 14.0 g; (11.2 / 14.0) × 100% = 80.0%.

Q17What volume of 6.00 M HCl is needed to prepare 500.0 mL of 0.250 M HCl?

(A) 4.17 mL
(B) 8.33 mL
(C) 12.5 mL
(D) 20.8 mL
Show Answer

Correct: (D)

M1V1 = M2V2 gives V1 = (0.250 × 500.0) / 6.00 = 20.8 mL.

Q18The net ionic equation for the reaction of aqueous silver nitrate with aqueous sodium chloride is

(A) Ag^+(aq) + Cl^-(aq) → AgCl(s)
(B) Na^+(aq) + NO3^-(aq) → NaNO3(aq)
(C) AgNO3(aq) + NaCl(aq) → AgCl(s) + NaNO3(aq)
(D) Ag^+(aq) + NO3^-(aq) + Na^+(aq) + Cl^-(aq) → AgCl(s) + Na^+(aq) + NO3^-(aq)
Show Answer

Correct: (A)

AgCl precipitates while Na^+ and NO3^- are spectator ions and cancel.

Q19When the reaction Cr2O7^2- + Fe^2+ + H^+ → Cr^3+ + Fe^3+ + H2O is balanced in acidic solution, the coefficient of Fe^2+ is

(A) 3
(B) 4
(C) 6
(D) 14
Show Answer

Correct: (C)

Each Cr goes from +6 to +3 (2 Cr gain 6 e^- total); each Fe^2+ loses 1 e^-, so 6 Fe^2+ are required: Cr2O7^2- + 6Fe^2+ + 14H^+ → 2Cr^3+ + 6Fe^3+ + 7H2O.

Q20A compound contains 40.0% C, 6.7% H, and 53.3% O by mass. Its empirical formula is

(A) CHO2
(B) CH2O
(C) C2H4O
(D) C2H4O2
Show Answer

Correct: (B)

Moles per 100 g: C = 3.33, H = 6.65, O = 3.33; dividing by 3.33 gives a 1 : 2 : 1 ratio, CH2O.

🌀 Gases & Intermolecular Forces

Q21A 2.50 L flask contains 0.400 mol of N2 gas at 27°C. What is the pressure of the gas in the flask? (R = 0.0821 L·atm/mol·K)

(A) 0.355 atm
(B) 3.94 atm
(C) 1.97 atm
(D) 7.88 atm
Show Answer

Correct: (B)

P = nRT/V = (0.400)(0.0821)(300)/(2.50) = 3.94 atm.

Q22An unknown gas X effuses through a pinhole 2.00 times faster than CO2 (molar mass 44.0 g/mol) under identical conditions. What is the molar mass of X?

(A) 22.0 g/mol
(B) 88.0 g/mol
(C) 176 g/mol
(D) 11.0 g/mol
Show Answer

Correct: (D)

By Graham's law, (rate X/rate CO2)^2 = M(CO2)/M(X), so 4.00 = 44.0/M(X), giving M(X) = 11.0 g/mol.

Q23A 5.00 L vessel at 25°C contains a mixture of He and O2. The partial pressure of He is 2.00 atm and the total pressure is 3.50 atm. How many moles of O2 are present? (R = 0.0821 L·atm/mol·K)

(A) 0.307 mol
(B) 0.153 mol
(C) 0.715 mol
(D) 0.204 mol
Show Answer

Correct: (A)

P(O2) = 3.50 − 2.00 = 1.50 atm; n = PV/RT = (1.50)(5.00)/(0.0821)(298) = 0.307 mol.

Q24Which of the following substances has the highest boiling point?

(A) CO
(B) CH4
(C) CH3OH
(D) CH3F
Show Answer

Correct: (C)

CH3OH exhibits hydrogen bonding, the strongest intermolecular force among the choices, giving it the highest boiling point.

Q25Under which conditions does a real gas deviate most from ideal gas behavior?

(A) High temperature and low pressure
(B) Low temperature and high pressure
(C) High temperature and high pressure
(D) Low temperature and low pressure
Show Answer

Correct: (B)

Low temperature reduces kinetic energy so attractions matter, and high pressure forces molecules close together, increasing the effect of molecular volume.

🔥 Thermochemistry

Q26How much heat is required to raise the temperature of 150.0 g of water from 25.0°C to 80.0°C? (specific heat of water = 4.18 J/g·°C)

(A) 17.2 kJ
(B) 69.0 kJ
(C) 51.7 kJ
(D) 34.5 kJ
Show Answer

Correct: (D)

q = mcΔT = (150.0)(4.18)(55.0) = 3.45 × 10^4 J = 34.5 kJ.

Q27Given the following enthalpies:
C(s) + O2(g) → CO2(g) ΔH = −393.5 kJ
H2(g) + 1/2 O2(g) → H2O(l) ΔH = −285.8 kJ
CH4(g) + 2 O2(g) → CO2(g) + 2 H2O(l) ΔH = −890.4 kJ
What is the standard enthalpy of formation of CH4(g)?

(A) −1710 kJ/mol
(B) +74.7 kJ/mol
(C) −74.7 kJ/mol
(D) −965.1 kJ/mol
Show Answer

Correct: (C)

By Hess's law, ΔHf = (−393.5) + 2(−285.8) − (−890.4) = −74.7 kJ/mol.

Q28Use average bond enthalpies to estimate ΔH for the reaction N2(g) + 3 H2(g) → 2 NH3(g). (N≡N = 941 kJ/mol, H−H = 436 kJ/mol, N−H = 391 kJ/mol)

(A) −97 kJ
(B) +97 kJ
(C) −4595 kJ
(D) +4595 kJ
Show Answer

Correct: (A)

Bonds broken: 941 + 3(436) = 2249 kJ; bonds formed: 6(391) = 2346 kJ; ΔH = 2249 − 2346 = −97 kJ.

Q29A 50.0 g sample of an unknown metal at 100.0°C is placed in 100.0 g of water at 20.0°C. The final equilibrium temperature is 24.6°C. What is the specific heat of the metal? (specific heat of water = 4.18 J/g·°C)

(A) 0.255 J/g·°C
(B) 0.510 J/g·°C
(C) 1.02 J/g·°C
(D) 0.102 J/g·°C
Show Answer

Correct: (B)

Heat gained by water = (100.0)(4.18)(4.6) = 1923 J; c(metal) = 1923/[(50.0)(75.4)] = 0.510 J/g·°C.

Q30Which of the following processes is exothermic?

(A) Melting of ice
(B) Sublimation of CO2(s)
(C) Vaporization of water
(D) Combustion of methane
Show Answer

Correct: (D)

Combustion releases heat to the surroundings (ΔH < 0); the others all absorb heat.

Q31Calculate ΔH for the reaction 2 SO2(g) + O2(g) → 2 SO3(g) given ΔHf°(SO2) = −296.8 kJ/mol and ΔHf°(SO3) = −395.7 kJ/mol.

(A) −197.8 kJ
(B) +197.8 kJ
(C) −99.0 kJ
(D) −395.6 kJ
Show Answer

Correct: (A)

ΔH = 2(−395.7) − [2(−296.8) + 0] = −197.8 kJ.

⚡ Quantum Theory & Electronic Structure

Q32What is the energy of a single photon of ultraviolet light with a wavelength of 250 nm? (h = 6.626 × 10^-34 J·s, c = 3.00 × 10^8 m/s)

(A) 4.97 × 10^-19 J
(B) 1.59 × 10^-18 J
(C) 7.95 × 10^-19 J
(D) 2.65 × 10^-19 J
Show Answer

Correct: (C)

E = hc/λ = (6.626 × 10^-34)(3.00 × 10^8)/(2.50 × 10^-7) = 7.95 × 10^-19 J.

Q33Which of the following sets of quantum numbers (n, l, ml, ms) is allowed for an electron in an atom?

(A) 2, 2, 0, +1/2
(B) 4, 2, −1, −1/2
(C) 3, 1, 2, +1/2
(D) 1, 1, 0, −1/2
Show Answer

Correct: (B)

l must be less than n and |ml| ≤ l; only set B satisfies all rules.

Q34What is the de Broglie wavelength of an electron traveling at 2.19 × 10^6 m/s? (h = 6.626 × 10^-34 J·s, mass of electron = 9.11 × 10^-31 kg)

(A) 6.64 × 10^-10 m
(B) 1.66 × 10^-10 m
(C) 3.32 × 10^-11 m
(D) 3.32 × 10^-10 m
Show Answer

Correct: (D)

λ = h/mv = (6.626 × 10^-34)/(9.11 × 10^-31)(2.19 × 10^6) = 3.32 × 10^-10 m.

Q35An electron in a hydrogen atom falls from the n = 3 level to the n = 2 level. What is the energy of the photon emitted? (E = −13.6 eV/n^2)

(A) 1.89 eV
(B) 10.2 eV
(C) 12.1 eV
(D) 0.661 eV
Show Answer

Correct: (A)

ΔE = 13.6(1/2^2 − 1/3^2) = 13.6(5/36) = 1.89 eV.




⏱ Chemical Kinetics

Q36For the reaction A + B → products, the following initial-rate data were collected.
Experiment 1: [A] = 0.10 M, [B] = 0.10 M, initial rate = 2.0 × 10^-3 M/s
Experiment 2: [A] = 0.20 M, [B] = 0.10 M, initial rate = 8.0 × 10^-3 M/s
Experiment 3: [A] = 0.10 M, [B] = 0.20 M, initial rate = 2.0 × 10^-3 M/s
What is the rate law for this reaction?

(A) Rate = k[A][B]
(B) Rate = k[A]
(C) Rate = k[A]^2
(D) Rate = k[A]^2[B]
Show Answer

Correct: (C)

Doubling [A] quadruples the rate (2nd order in A); doubling [B] leaves the rate unchanged (zero order in B).

Q37The decomposition of N2O5 is first order with k = 0.0693 min^-1. How long will it take for 75% of a sample of N2O5 to be consumed?

(A) 20 min
(B) 10 min
(C) 40 min
(D) 5.0 min
Show Answer

Correct: (A)

t1/2 = 0.693/0.0693 = 10 min; 75% consumed leaves 1/4 remaining, which requires 2 half-lives = 20 min.

Q38A proposed mechanism for 2 NO(g) + O2(g) → 2 NO2(g) is:
Step 1: NO + NO → N2O2 (slow)
Step 2: N2O2 + O2 → 2 NO2 (fast)
What rate law is predicted by this mechanism?

(A) Rate = k[NO][O2]
(B) Rate = k[NO]^2[O2]
(C) Rate = k[N2O2][O2]
(D) Rate = k[NO]^2
Show Answer

Correct: (D)

The rate law comes from the slow (rate-determining) step: Rate = k[NO][NO] = k[NO]^2.

Q39A reaction has k = 1.0 × 10^-3 s^-1 at 300 K and an activation energy of 50 kJ/mol. What is the approximate value of k at 310 K? (R = 8.314 J/mol·K)

(A) 1.2 × 10^-3 s^-1
(B) 1.9 × 10^-3 s^-1
(C) 3.6 × 10^-3 s^-1
(D) 1.0 × 10^-2 s^-1
Show Answer

Correct: (B)

ln(k2/k1) = (50,000/8.314)(1/300 − 1/310) = 0.647, so k2/k1 = e^0.647 = 1.91; k2 ≈ 1.9 × 10^-3 s^-1.

Q40On a reaction coordinate diagram, the reactants lie at 40 kJ/mol, the transition state at 110 kJ/mol, and the products at 90 kJ/mol. What are the activation energy (Ea) and ΔH for the forward reaction?

(A) Ea = 20 kJ/mol; ΔH = −50 kJ/mol
(B) Ea = 70 kJ/mol; ΔH = +50 kJ/mol
(C) Ea = 70 kJ/mol; ΔH = −50 kJ/mol
(D) Ea = 150 kJ/mol; ΔH = +50 kJ/mol
Show Answer

Correct: (B)

Ea = 110 − 40 = 70 kJ/mol; ΔH = 90 − 40 = +50 kJ/mol (endothermic).

Q41The decomposition of HI(g) is second order with k = 2.4 × 10^-2 M^-1·s^-1 at 500 K. If the initial [HI] is 0.80 M, how long will it take for [HI] to fall to 0.20 M?

(A) 1.6 × 10^2 s
(B) 58 s
(C) 3.1 × 10^2 s
(D) 1.0 × 10^2 s
Show Answer

Correct: (A)

1/[A] = kt + 1/[A]0 gives t = (1/0.20 − 1/0.80)/0.024 = 3.75/0.024 = 156 s ≈ 1.6 × 10^2 s.

⇆ Chemical Equilibrium

Q42For the reaction 2 SO2(g) + O2(g) ⇌ 2 SO3(g), what is the correct expression for Kc?

(A) Kc = [SO2]^2[O2]/[SO3]^2
(B) Kc = [SO3]^2/([SO2][O2])
(C) Kc = [SO3]/([SO2]^2[O2])
(D) Kc = [SO3]^2/([SO2]^2[O2])
Show Answer

Correct: (D)

Kc = (products)^coefficients/(reactants)^coefficients = [SO3]^2/([SO2]^2[O2]).

Q43For N2(g) + 3 H2(g) ⇌ 2 NH3(g) at a certain temperature, the equilibrium concentrations are [N2] = 0.20 M, [H2] = 0.60 M, and [NH3] = 0.30 M. What is the value of Kc?

(A) 0.48
(B) 0.75
(C) 2.1
(D) 12
Show Answer

Correct: (C)

Kc = [NH3]^2/([N2][H2]^3) = (0.30)^2/(0.20 × 0.60^3) = 0.09/0.0432 = 2.1.

Q44For N2O4(g) ⇌ 2 NO2(g), Kc = 4.6 × 10^-3 at 298 K. What is Kp at this temperature? (R = 0.0821 L·atm/mol·K)

(A) 0.11
(B) 4.6 × 10^-3
(C) 1.9 × 10^-4
(D) 11
Show Answer

Correct: (A)

Δn = 2 − 1 = 1, so Kp = Kc(RT)^1 = (4.6 × 10^-3)(0.0821)(298) = 0.11.

Q45Consider CO(g) + 2 H2(g) ⇌ CH3OH(g), ΔH° = −91 kJ/mol. Which change will increase the equilibrium yield of CH3OH?

(A) Increasing the temperature
(B) Adding a catalyst
(C) Decreasing the total pressure
(D) Increasing the total pressure
Show Answer

Correct: (D)

The reaction is exothermic and goes from 3 moles of gas to 1; higher pressure shifts equilibrium toward fewer moles of gas, producing more CH3OH.

Q46For H2(g) + I2(g) ⇌ 2 HI(g), Kc = 50 at 448°C. A flask initially contains 0.50 M H2 and 0.50 M I2 with no HI. What is [HI] at equilibrium?

(A) 0.39 M
(B) 0.78 M
(C) 0.89 M
(D) 1.0 M
Show Answer

Correct: (B)

(2x)^2/(0.50 − x)^2 = 50 gives 2x/(0.50 − x) = 7.07, so x = 0.390 and [HI] = 2x = 0.78 M.

Q47For 2 NO2(g) ⇌ N2O4(g), Kc = 170 at 298 K. A flask contains [NO2] = 0.10 M and [N2O4] = 0.50 M. Which statement is correct?

(A) Q = 5.0; the reaction proceeds toward reactants
(B) Q = 500; the reaction proceeds toward reactants
(C) Q = 50; the reaction proceeds toward products
(D) Q = 50; the system is at equilibrium
Show Answer

Correct: (C)

Q = [N2O4]/[NO2]^2 = 0.50/(0.10)^2 = 50; since Q < K, the reaction proceeds toward products.

🧫 Acids, Bases & Buffers

Q48Equal volumes of 0.020 M HCl and 0.020 M HNO3 are mixed. Assuming volumes are additive and both acids dissociate completely, what is the pH of the resulting solution?

(A) 1.00
(B) 1.70
(C) 2.00
(D) 2.30
Show Answer

Correct: (B)

Each acid is diluted by half on mixing, so [H+] = 0.010 + 0.010 = 0.020 M; pH = −log(2.0×10^-2) = 1.70.

Q49Which of the following aqueous mixtures acts as a buffer?

(A) 0.10 M NH4Cl only
(B) 0.10 M NaOH mixed with 0.10 M NH4Cl
(C) 0.10 M HCl mixed with 0.10 M NaCl
(D) 0.10 M NH3 mixed with 0.10 M NH4Cl
Show Answer

Correct: (D)

It contains a weak base and its conjugate acid in comparable amounts; the others lack a conjugate acid-base pair.

Q50A 0.20 M solution of the weak acid HA has Ka = 4.0×10^-5. What is the pH of the solution?

(A) 2.55
(B) 3.40
(C) 4.40
(D) 5.30
Show Answer

Correct: (A)

[H+] = sqrt(Ka·C) = sqrt(8.0×10^-6) = 2.8×10^-3 M, so pH = 2.55.

Q51For the acid H2PO4^-, Ka = 6.2×10^-8. What is Kb for its conjugate base, HPO4^2-? (Kw = 1.0×10^-14)

(A) 6.2×10^-8
(B) 1.6×10^-8
(C) 1.6×10^-7
(D) 6.2×10^-7
Show Answer

Correct: (C)

Kb = Kw/Ka = (1.0×10^-14)/(6.2×10^-8) = 1.6×10^-7.

Q5225.0 mL of 0.100 M CH3COOH (Ka = 1.8×10^-5) is titrated with 0.100 M NaOH. What is the pH at the equivalence point?

(A) pH < 7
(B) pH = 7
(C) It cannot be determined from the given data.
(D) pH > 7
Show Answer

Correct: (D)

At equivalence only CH3COO^- remains, and it hydrolyzes to produce OH^-, so the solution is basic.

Q53A buffer contains 0.30 M CH3COO^- and 0.10 M CH3COOH. If pKa = 4.75 for CH3COOH, what is the pH of the buffer?

(A) 4.27
(B) 5.23
(C) 4.75
(D) 5.05
Show Answer

Correct: (B)

pH = 4.75 + log(0.30/0.10) = 4.75 + 0.48 = 5.23.

🔋 Thermodynamics & Electrochemistry

Q54What is the sign of ΔS° for the reaction 2 H2(g) + O2(g) → 2 H2O(l)?

(A) negative
(B) positive
(C) approximately zero
(D) cannot be determined from the given information
Show Answer

Correct: (A)

Three moles of gas form a liquid with no gaseous product, so disorder decreases.

Q55A reaction has ΔH° = −120 kJ/mol and ΔS° = −0.300 kJ/(mol·K). At which temperatures is the reaction spontaneous?

(A) at all temperatures
(B) only above 400 K
(C) at no temperature
(D) only below 400 K
Show Answer

Correct: (D)

ΔG = 0 at T = ΔH/ΔS = 400 K; with ΔH < 0 and ΔS < 0, ΔG < 0 only below 400 K.

Q56At 298 K, a reaction has equilibrium constant K = 1.0×10^5. What is ΔG°? (R = 8.314 J/(mol·K))

(A) +28.5 kJ/mol
(B) −12.4 kJ/mol
(C) −28.5 kJ/mol
(D) −2.85 kJ/mol
Show Answer

Correct: (C)

ΔG° = −RT ln K = −(8.314)(298)(11.51) = −2.85×10^4 J/mol = −28.5 kJ/mol.

Q57Given: Zn^2+ + 2e^- → Zn, E° = −0.76 V; Cu^2+ + 2e^- → Cu, E° = +0.34 V. For the galvanic cell Zn|Zn^2+||Cu^2+|Cu, which statement is true?

(A) Electrons flow through the external circuit from copper to zinc.
(B) E°cell = 1.10 V, and zinc is oxidized.
(C) The cell is electrolytic rather than galvanic.
(D) E°cell = 0.42 V.
Show Answer

Correct: (B)

E°cell = E°cathode − E°anode = 0.34 − (−0.76) = 1.10 V; zinc is the anode and is oxidized.

Q58How many grams of copper are deposited when 0.500 mol of electrons passes through a Cu^2+ solution? (Cu^2+ + 2e^- → Cu; molar mass of Cu = 63.55 g/mol)

(A) 15.9 g
(B) 31.8 g
(C) 63.5 g
(D) 7.94 g
Show Answer

Correct: (A)

Moles Cu = 0.500/2 = 0.250 mol; mass = 0.250 × 63.55 = 15.9 g.

☢ Nuclear & Descriptive Chemistry

Q59In the nuclear decay ^238U → ^234Th + ?, what is the missing particle?

(A) a beta particle
(B) a gamma ray
(C) an alpha particle
(D) a neutron
Show Answer

Correct: (C)

The mass number drops by 4 and the atomic number by 2, matching ^4He, an alpha particle.

Q60An 80.0 g sample of a radioisotope with a half-life of 12 days decays for 36 days. What mass remains?

(A) 26.7 g
(B) 10.0 g
(C) 20.0 g
(D) 6.67 g
Show Answer

Correct: (B)

36/12 = 3 half-lives, so 80.0 × (1/2)^3 = 10.0 g remains.