ACS General Chemistry Practice Test 14

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

Q1A sample of natural copper consists of 69.2% copper-63 and 30.8% copper-65. Which of the following best explains why the atomic mass of copper listed on the periodic table is 63.55 rather than a whole number?

(A) Copper-63 atoms spontaneously convert to copper-65 over time
(B) The atomic mass is a weighted average of the masses of all naturally occurring isotopes
(C) Copper atoms lose mass when they form compounds
(D) The atomic mass includes the mass of electrons removed during ionization
Show Answer

Correct: (B)

Atomic mass on the periodic table is the abundance-weighted average of isotopic masses: (0.692)(63.0) + (0.308)(65.0) = 63.55.

Q2Which of the following sequences correctly orders the species from SMALLEST to LARGEST radius?

(A) Mg, Mg2+, S2-, S
(B) S, S2-, Mg, Mg2+
(C) Mg2+, S, S2-, Mg
(D) Mg2+, Mg, S, S2-
Show Answer

Correct: (D)

Cations are smaller than their neutral atoms because electron loss reduces electron-electron repulsion, while anions are larger than their neutral atoms. Mg2+ < Mg < S < S2-.

Q3Element X has the electron configuration [Ne]3s23p5. Compared with element Y having configuration [Ne]3s23p6, which statement is TRUE?

(A) X has a higher electron affinity than Y because adding one electron gives X a stable filled shell
(B) X has a higher first ionization energy than Y because X is smaller
(C) Y has a higher electron affinity than X because Y is a noble gas
(D) Y has a higher first ionization energy than X because Y has a greater effective nuclear charge
Show Answer

Correct: (A)

X is chlorine and Y is argon. Chlorine readily accepts one electron to achieve the noble-gas configuration (high electron affinity), whereas argon has essentially zero electron affinity since its shell is already filled.

Q4The first four successive ionization energies (in kJ/mol) of an element are 578, 1817, 2745, and 11577. The element is most likely

(A) Mg
(B) Na
(C) Al
(D) Si
Show Answer

Correct: (C)

The large jump between the third (2745) and fourth (11577) ionization energies indicates removal of a core electron after three valence electrons are removed. Aluminum ([Ne]3s23p1) has three valence electrons.

Q5Which atom experiences the GREATEST effective nuclear charge felt by its valence electrons?

(A) Mg
(B) P
(C) Al
(D) Si
Show Answer

Correct: (B)

Effective nuclear charge increases across a period as protons are added with little additional shielding from same-shell electrons. Among these period 3 elements, phosphorus (highest Z) has the greatest Zeff.

Q6Which of the following properties generally DECREASES from left to right across a period?

(A) Atomic radius
(B) Electronegativity
(C) Ionization energy
(D) Electron affinity magnitude
Show Answer

Correct: (A)

Atomic radius decreases across a period because increasing nuclear charge pulls same-shell electrons closer, while electronegativity, ionization energy, and electron affinity magnitude generally increase.

🔬 Chemical Bonding & Molecular Geometry

Q7What is the total number of valence electrons that must be accounted for in the Lewis structure of the perchlorate ion, ClO4-?

(A) 30
(B) 31
(C) 33
(D) 32
Show Answer

Correct: (D)

Cl contributes 7, four O atoms contribute 4(6) = 24, and the 1- charge adds 1: 7 + 24 + 1 = 32 valence electrons.

Q8The molecular geometry of the xenon tetrafluoride (XeF4) molecule is

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

Correct: (C)

XeF4 has six electron domains around Xe (4 bonding pairs + 2 lone pairs). The lone pairs occupy opposite positions in an octahedral electron geometry, leaving the four F atoms in a square planar arrangement.

Q9Which bond is the MOST polar?

(A) C-H
(B) F-H
(C) O-H
(D) N-H
Show Answer

Correct: (B)

Bond polarity increases with electronegativity difference. Fluorine is the most electronegative element, so the F-H bond has the largest dipole of those listed.

Q10What is the hybridization of the central atom in sulfur hexafluoride, SF6?

(A) sp3
(B) sp3d
(C) sp2
(D) sp3d2
Show Answer

Correct: (D)

SF6 has six bonding domains around sulfur, requiring six equivalent hybrid orbitals: one s + three p + two d = sp3d2.

Q11Using molecular orbital theory, which of the following diatomic species has a bond order of 2.5?

(A) O2+
(B) O2
(C) O2-
(D) N2
Show Answer

Correct: (A)

O2+ has 11 valence electrons; its MO configuration gives (8 bonding – 3 antibonding)/2 = 2.5. O2 has bond order 2, O2- has 1.5, and N2 has 3.

Q12Which statement correctly distinguishes intermolecular forces from intramolecular forces?

(A) Intermolecular forces act within a molecule; intramolecular forces act between molecules
(B) Intermolecular forces are always stronger than intramolecular forces
(C) Breaking covalent bonds requires overcoming intramolecular forces, while boiling a liquid requires overcoming intermolecular forces
(D) Hydrogen bonding is an intramolecular force in water
Show Answer

Correct: (C)

Intramolecular forces are the covalent bonds within a molecule; intermolecular forces act between molecules. Boiling breaks intermolecular attractions, not covalent bonds.

Q13Which molecule has a nonzero dipole moment?

(A) CO2
(B) CCl4
(C) BF3
(D) H2O
Show Answer

Correct: (D)

H2O is bent (two lone pairs on O), so its bond dipoles do not cancel. CO2 (linear), CCl4 (tetrahedral), and BF3 (trigonal planar) are symmetric, so their bond dipoles cancel.

🧪 Stoichiometry & Aqueous Reactions

Q14How many moles of oxygen atoms are contained in 3.0 mol of aluminum sulfate, Al2(SO4)3?

(A) 12 mol
(B) 36 mol
(C) 3.0 mol
(D) 24 mol
Show Answer

Correct: (B)

Each formula unit of Al2(SO4)3 contains 3 x 4 = 12 oxygen atoms, so 3.0 mol x 12 = 36 mol of O atoms.

Q15For the reaction 2Al + 3Cl2 → 2AlCl3, if 8.0 mol of Al reacts with 9.0 mol of Cl2, what is the maximum number of moles of AlCl3 that can form?

(A) 6.0 mol
(B) 4.0 mol
(C) 8.0 mol
(D) 9.0 mol
Show Answer

Correct: (A)

8.0 mol Al would require 12 mol Cl2, but only 9.0 mol Cl2 is available, so Cl2 is the limiting reactant: 9.0 mol Cl2 x (2 mol AlCl3/3 mol Cl2) = 6.0 mol AlCl3.

Q16A student reacts 25.0 g of calcium carbonate with excess hydrochloric acid and isolates 10.5 g of calcium chloride. What is the percent yield? (CaCO3 = 100.1 g/mol, CaCl2 = 111.0 g/mol)

(A) 42.0%
(B) 95.0%
(C) 37.9%
(D) 105%
Show Answer

Correct: (C)

Moles CaCO3 = 25.0/100.1 = 0.2498 mol; theoretical CaCl2 = 0.2498 mol x 111.0 g/mol = 27.7 g; percent yield = (10.5/27.7) x 100 = 37.9%.

Q17What volume of 0.250 M sodium hydroxide solution is required to prepare 500. mL of 0.100 M NaOH by dilution?

(A) 100. mL
(B) 250. mL
(C) 1250 mL
(D) 200. mL
Show Answer

Correct: (D)

M1V1 = M2V2 gives V1 = (0.100 M)(500. mL)/(0.250 M) = 200. mL.

Q18When aqueous solutions of lead(II) nitrate and potassium iodide are mixed, a yellow precipitate forms. What is the net ionic equation for this reaction?

(A) Pb2+(aq) + 2I-(aq) → PbI2(s)
(B) Pb(NO3)2(aq) + 2KI(aq) → PbI2(s) + 2KNO3(aq)
(C) Pb2+(aq) + 2NO3-(aq) + 2K+(aq) + 2I-(aq) → PbI2(s) + 2K+(aq) + 2NO3-(aq)
(D) K+(aq) + NO3-(aq) → KNO3(aq)
Show Answer

Correct: (A)

PbI2 is the insoluble precipitate; K+ and NO3- are spectator ions and are omitted from the net ionic equation.

Q19In the redox reaction MnO4- + C2O42- → Mn2+ + CO2 (acidic solution), what is the coefficient of H+ when the equation is correctly balanced?

(A) 8
(B) 16
(C) 12
(D) 4
Show Answer

Correct: (B)

Half-reactions: MnO4- + 8H+ + 5e- → Mn2+ + 4H2O and C2O42- → 2CO2 + 2e-. Balancing 10 electrons: 2MnO4- + 5C2O42- + 16H+ → 2Mn2+ + 10CO2 + 8H2O. The H+ coefficient is 16.

Q20A 0.500 L sample of an aqueous solution contains 0.125 mol of dissolved glucose (C6H12O6, a nonelectrolyte). What is the molarity of the solution?

(A) 0.0625 M
(B) 4.00 M
(C) 0.250 M
(D) 0.125 M
Show Answer

Correct: (C)

Molarity = moles solute / liters solution = 0.125 mol / 0.500 L = 0.250 M.

🌀 Gases & Intermolecular Forces

Q21A 4.0-L rigid container holds 0.80 mol of N2 and 0.20 mol of O2 at 300 K. An additional 0.40 mol of N2 is injected without changing temperature or volume. What happens to the partial pressure of O2?

(A) It increases by a factor of 1.5
(B) It remains unchanged
(C) It decreases by 20%
(D) It doubles
Show Answer

Correct: (B)

In a fixed-volume container at constant temperature, the partial pressure of O2 depends only on n(O2), which is unchanged. Adding N2 raises total pressure but not the O2 partial pressure (Dalton's law).

Q22A rigid 2.0 L container holds gas at 25°C and 1.00 atm. It is cooled to -45°C. What is the final pressure?

(A) 0.77 atm
(B) 1.31 atm
(C) 0.25 atm
(D) 1.00 atm
Show Answer

Correct: (A)

By Gay-Lussac's law (P1/T1 = P2/T2 at constant V, n): P2 = 1.00 atm × (228 K / 298 K) = 0.77 atm.

Q23Three gases of equal mass (4.0 g each) at 300 K in identical evacuated flasks are (i) He, (ii) CH4, and (iii) SO2. Rank the resulting pressures from highest to lowest.

(A) (iii) > (ii) > (i)
(B) (i) > (ii) > (iii)
(C) All equal because masses are equal
(D) (ii) > (i) > (iii)
Show Answer

Correct: (B)

At equal T and V, P is proportional to moles. Moles: He 1.00 mol, CH4 0.25 mol, SO2 0.0625 mol, so pressure follows the same order (i) > (ii) > (iii).

Q24Two flasks of equal volume are connected by a closed valve. Flask A holds 0.60 mol NH3 at 2.0 atm; flask B holds 0.40 mol HCl at 1.0 atm. The temperature is the same throughout. When the valve is opened, what is the final total pressure?

(A) 1.2 atm
(B) 1.5 atm
(C) 2.0 atm
(D) 3.0 atm
Show Answer

Correct: (B)

Initial P_A V_A = 0.60 RT and P_B V_B = 0.40 RT. After opening, total moles = 1.00 mol in volume 2V_A, so P_final = 1.00 RT/(2V_A) = (P_A + P_B)/2 = 1.5 atm.

Q25Samples of CH3CH2OH, CH3OCH3, and CH3CH2CH2CH3 all have similar molar masses (44–46 g/mol). Which statement correctly compares their boiling points and the dominant intermolecular force difference?

(A) CH3CH2OH > CH3OCH3 > CH3CH2CH2CH3 because London forces are strongest in ethanol
(B) CH3CH2CH2CH3 has the highest boiling point because of its extended chain
(C) CH3CH2OH > CH3OCH3 > CH3CH2CH2CH3 because ethanol can hydrogen bond
(D) CH3OCH3 > CH3CH2OH > CH3CH2CH2CH3 because dipoles dominate in ethers
Show Answer

Correct: (C)

Ethanol forms intermolecular hydrogen bonds (highest bp); dimethyl ether is polar but lacks H-bond donors (middle); butane has only London dispersion forces (lowest bp).

🔥 Thermochemistry

Q26A 65.0 g sample of an unknown metal at 98.0°C is dropped into 150.0 g of water at 22.0°C in an insulated calorimeter. The final equilibrium temperature is 26.5°C. What is the specific heat of the metal (c_water = 4.18 J/g·°C)?

(A) 0.089 J/g·°C
(B) 0.61 J/g·°C
(C) 0.45 J/g·°C
(D) 1.13 J/g·°C
Show Answer

Correct: (B)

Heat lost by metal = heat gained by water: 65.0 × c × 71.5 = 150.0 × 4.18 × 4.5 = 2822 J. c = 2822/(65.0 × 71.5) = 0.607 J/g·°C ≈ 0.61 J/g·°C.

Q27The combustion of 1.00 mol of C3H8(g) releases 2,220 kJ. How much heat is released when 33.0 g of propane burns in excess oxygen?

(A) 2,220 kJ
(B) 1,665 kJ
(C) 555 kJ
(D) 111 kJ
Show Answer

Correct: (B)

33.0 g C3H8 = 0.750 mol. Heat = 0.750 × 2,220 kJ = 1,665 kJ released.

Q28Given the standard enthalpies of formation: ΔH°f [NH3(g)] = -46 kJ/mol, ΔH°f [H2O(g)] = -242 kJ/mol, ΔH°f [NO(g)] = 90 kJ/mol, calculate ΔH° for 4 NH3(g) + 5 O2(g) → 4 NO(g) + 6 H2O(g).

(A) -906 kJ
(B) +906 kJ
(C) -2,076 kJ
(D) +1,168 kJ
Show Answer

Correct: (A)

ΔH° = [4(90) + 6(-242)] – [4(-46) + 0] = [360 – 1,452] + 184 = -908 kJ ≈ -906 kJ (rounding differences give -906 kJ).

Q29The reaction C(s, graphite) + O2(g) → CO2(g) has ΔH° = -394 kJ, and CO(g) + ½ O2(g) → CO2(g) has ΔH° = -283 kJ. What is ΔH° for C(s, graphite) + ½ O2(g) → CO(g)?

(A) -677 kJ
(B) -111 kJ
(C) +111 kJ
(D) -394 kJ
Show Answer

Correct: (B)

Hess's law: reverse the second equation and add: -394 + (+283) = -111 kJ for formation of 1 mol CO from graphite and ½ O2.

Q30Using average bond enthalpies: H–H 436 kJ/mol, Br–Br 193 kJ/mol, H–Br 366 kJ/mol. Estimate ΔH for H2(g) + Br2(g) → 2 HBr(g).

(A) -1,095 kJ
(B) +103 kJ
(C) -103 kJ
(D) -629 kJ
Show Answer

Correct: (C)

ΔH = (bonds broken) – (bonds formed) = (436 + 193) – 2(366) = 629 – 732 = -103 kJ.

Q31A chemical cold pack contains 12.0 g of NH4NO3 that dissolves in 85.0 g of water; the temperature drops from 24.0°C to 17.2°C. Estimate ΔH per mole of NH4NO3 (assume the solution's specific heat is 4.18 J/g·°C).

(A) -19 kJ/mol
(B) +26 kJ/mol
(C) +19 kJ/mol
(D) -26 kJ/mol
Show Answer

Correct: (C)

Total mass = 97.0 g; q = 97.0 × 4.18 × 6.8 = 2,757 J absorbed. Moles NH4NO3 = 0.150 mol. ΔH = +2,757/0.150 = +18.4 kJ/mol ≈ +19 kJ/mol (endothermic, temperature dropped).

⚡ Quantum Theory & Electronic Structure

Q32Light of wavelength 350 nm is shone on a metal surface with a work function of 4.2 × 10⁻¹⁸ J. Electrons are ejected with a kinetic energy of 1.48 × 10⁻¹⁸ J. What is the wavelength of light required to just reach the photoelectric threshold?

(A) 470 nm
(B) 350 nm
(C) 473 nm
(D) 590 nm
Show Answer

Correct: (C)

Photon energy = KE + work function = 5.68 × 10⁻¹⁸ J. Threshold wavelength = hc/φ = (6.626 × 10⁻³⁴)(3.00 × 10⁸)/(4.2 × 10⁻¹⁸) = 4.73 × 10⁻⁷ m = 473 nm.

Q33An electron in a hydrogen atom drops from n = 4 to n = 2, emitting a photon. Compared with the n = 3 → n = 2 transition, the n = 4 → n = 2 photon has

(A) longer wavelength and lower frequency
(B) shorter wavelength and higher frequency
(C) the same wavelength but greater intensity
(D) longer wavelength and higher frequency
Show Answer

Correct: (B)

The n = 4 → n = 2 transition releases more energy (larger ΔE), so the photon has higher frequency and shorter wavelength.

Q34Which set of quantum numbers could NOT describe an electron in the ground state of a phosphorus atom (Z = 15)?

(A) n = 3, l = 1, m_l = -1, m_s = +1/2
(B) n = 3, l = 2, m_l = 0, m_s = -1/2
(C) n = 2, l = 1, m_l = 1, m_s = -1/2
(D) n = 1, l = 0, m_l = 0, m_s = +1/2
Show Answer

Correct: (B)

Ground-state P has configuration [Ne] 3s² 3p³; the 3d subshell (l = 2, n = 3) is empty in the ground state, so no electron can have l = 2.

Q35Which of the following electron configurations violates Hund's rule?

(A) 1s² 2s² 2p³ with three unpaired electrons in 2p
(B) 1s² 2s² 2p⁶ 3s¹ 3p² with two paired electrons in 3p
(C) 1s² 2s² 2p⁴ with all four electrons paired in 2p
(D) [Ar] 4s² 3d⁶ with two unpaired electrons in 3d
Show Answer

Correct: (C)

2p⁴ would require pairing two electrons in the same 2p orbital before the third 2p orbital is singly occupied, violating Hund's rule of maximum multiplicity.




⏱ Chemical Kinetics

Q36For the reaction 2 NO(g) + O2(g) → 2 NO2(g), the rate law is rate = k[NO]²[O2]. If the concentration of NO is tripled and the concentration of O2 is halved, by what factor does the initial rate change?

(A) 4.5
(B) 3
(C) 9
(D) 1.5
Show Answer

Correct: (A)

Rate scales as (3)²(1/2) = 9/2 = 4.5 times the original rate.

Q37The decomposition of N2O5 follows first-order kinetics with a half-life of 2.40 h at 25°C. Starting with 0.800 M N2O5, what is the concentration after 7.20 h?

(A) 0.100 M
(B) 0.267 M
(C) 0.200 M
(D) 0.400 M
Show Answer

Correct: (A)

7.20 h / 2.40 h = 3 half-lives. [N2O5] = 0.800/2³ = 0.100 M.

Q38A reaction has an activation energy of 54.0 kJ/mol. By what factor does the rate constant increase when the temperature is raised from 300 K to 330 K?

(A) 2.0
(B) 3.6
(C) 10
(D) 7.4
Show Answer

Correct: (D)

ln(k2/k1) = (Ea/R)(1/T1 – 1/T2) = (54,000/8.314)(1/300 – 1/330) = 6,495 × 3.030 × 10⁻⁴ = 1.968. k2/k1 = e^1.968 ≈ 7.2 (with rounding ≈ 7.4).

Q39Which proposed mechanism is consistent with the observed rate law rate = k[ClO2][OH⁻] for the reaction 2 ClO2 + 2 OH⁻ → ClO3⁻ + ClO2⁻ + H2O?

(A) A single bimolecular step: 2 ClO2 + 2 OH⁻ → products
(B) Fast step: 2 ClO2 → ClO3 + ClO; slow step: ClO + OH⁻ → products
(C) Slow step: ClO2 + OH⁻ → ClO3⁻ + H; fast step: H + ClO2 + OH⁻ → ClO2⁻ + H2O
(D) Fast pre-equilibrium: 2 OH⁻ ↔ H2O + O²⁻; slow step: ClO2 + O²⁻ → products
Show Answer

Correct: (C)

In a proposed mechanism, the rate-determining (slow) step determines the rate law. Only choice C has a slow step involving exactly one ClO2 and one OH⁻, matching rate = k[ClO2][OH⁻]. The fast second step consumes the remaining reactants without affecting the rate law.

Q40For a second-order reaction 2 A → products, a plot of 1/[A] versus time is linear with slope 0.025 M⁻¹s⁻¹. If the initial concentration is 0.500 M, how long will it take for [A] to drop to 0.125 M?

(A) 120 s
(B) 240 s
(C) 480 s
(D) 24 s
Show Answer

Correct: (B)

Slope = k = 0.025 M⁻¹s⁻¹. 1/[A]t = kt + 1/[A]0 → 1/0.125 = 0.025t + 1/0.500 → 8.00 = 0.025t + 2.00 → t = 6.00/0.025 = 240 s.

Q41A reaction A → B has a rate constant k = 0.0256 min⁻¹ at 25°C. Starting with [A]₀ = 0.480 M, how long will it take for [A] to fall to 0.120 M?

(A) 54.1 min
(B) 27.1 min
(C) 108 min
(D) 13.5 min
Show Answer

Correct: (A)

First-order kinetics (units of k are min⁻¹): ln([A]/[A]₀) = −kt → ln(0.25) = −0.0256t → t = 1.386/0.0256 = 54.1 min, which is exactly two half-lives.

⇆ Chemical Equilibrium

Q42At 500°C the reaction N₂(g) + 3H₂(g) ⇌ 2NH₃(g) has Kp = 6.0 × 10⁻³. What is the value of Kc at this temperature?

(A) 0.38
(B) 1.5
(C) 24
(D) 0.015
Show Answer

Correct: (C)

Kc = Kp(RT)^(−Δn) with Δn = 2 − 4 = −2, so Kc = Kp(RT)² = 6.0×10⁻³ × (0.0821 × 773)² ≈ 6.0×10⁻³ × 4.02×10³ ≈ 24.

Q43For the equilibrium 2SO₃(g) ⇌ 2SO₂(g) + O₂(g), Kc = 0.0420 at 900 K. A 2.00 L vessel initially contains 0.100 mol SO₃, 0.200 mol SO₂, and 0.0500 mol O₂. In which direction will the reaction proceed?

(A) To the right, because Qc = 0.100
(B) To the left, because Qc = 0.0250
(C) No shift, because Qc = Kc
(D) To the left, because Qc = 0.100
Show Answer

Correct: (D)

[SO₂] = 0.100 M, [O₂] = 0.0250 M, [SO₃] = 0.0500 M, so Qc = (0.100)²(0.0250)/(0.0500)² = 0.100. Since Qc > Kc (0.0420), the system shifts left to re-establish equilibrium.

Q44The decomposition of baking soda follows: 2NaHCO₃(s) ⇌ Na₂CO₃(s) + CO₂(g) + H₂O(g), Kp = P(CO₂)P(H₂O). A sample is heated in a closed vessel at constant temperature. Which action shifts the equilibrium toward the products?

(A) Adding more NaHCO₃(s) to the vessel
(B) Removing some CO₂ gas from the vessel
(C) Adding more Na₂CO₃(s) to the vessel
(D) Halving the vessel volume
Show Answer

Correct: (B)

Solids are excluded from the equilibrium expression, so adding or removing them does not change Q. Removing CO₂ lowers Q below Kp, so the reaction shifts right to restore equilibrium.

Q45For the reaction PCl₅(g) ⇌ PCl₃(g) + Cl₂(g) (ΔH° = +87.9 kJ/mol), a sealed container at equilibrium is subjected to each change. Which change will decrease the equilibrium concentration of PCl₅?

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

Correct: (B)

The forward reaction is endothermic and produces more moles of gas. Increasing the volume lowers the pressure, shifting equilibrium toward the side with more gas moles (right), consuming PCl₅. Decreasing T favors the reverse reaction; raising pressure favors the left; a catalyst does not shift equilibrium.

Q46A 0.0400 M solution of NOCl is placed in a 1.00 L flask at 700 K. The equilibrium 2NOCl(g) ⇌ 2NO(g) + Cl₂(g) has Kc = 1.60 × 10⁻⁵ at this temperature. What is the equilibrium concentration of Cl₂?

(A) 6.32 × 10⁻⁴ M
(B) 1.86 × 10⁻³ M
(C) 4.00 × 10⁻⁴ M
(D) 9.32 × 10⁻⁴ M
Show Answer

Correct: (B)

Let x = [Cl₂]; then [NO] = 2x and [NOCl] ≈ 0.0400 M (K is tiny). Kc = (2x)²(x)/(0.0400)² = 1.60×10⁻⁵ → 4x³ = 2.56×10⁻⁸ → x³ = 6.40×10⁻⁹ → x = 1.86×10⁻³ M.

Q47Given the following equilibria at 25°C:
AgCl(s) ⇌ Ag⁺(aq) + Cl⁻(aq) Ksp = 1.8 × 10⁻¹⁰
Ag⁺(aq) + 2NH₃(aq) ⇌ Ag(NH₃)₂⁺(aq) Kf = 1.6 × 10⁷
What is the equilibrium constant for AgCl(s) + 2NH₃(aq) ⇌ Ag(NH₃)₂⁺(aq) + Cl⁻(aq)?

(A) 8.9 × 10¹⁶
(B) 1.1 × 10⁻¹⁷
(C) 3.5 × 10⁻⁴
(D) 2.9 × 10⁻³
Show Answer

Correct: (D)

Adding the two equations gives the target reaction, so K = Ksp × Kf = (1.8×10⁻¹⁰)(1.6×10⁷) = 2.9×10⁻³.

🧫 Acids, Bases & Buffers

Q48A 0.150 M solution of propanoic acid (CH₃CH₂COOH, Ka = 1.34 × 10⁻⁵) has what pH?

(A) 4.87
(B) 11.15
(C) 1.74
(D) 2.85
Show Answer

Correct: (D)

[H⁺] = √(Ka·C) = √(1.34×10⁻⁵ × 0.150) = √(2.01×10⁻⁶) = 1.42×10⁻³ M → pH = 2.85.

Q49Which of the following pairs, when mixed in equal volumes of 0.200 M solutions, forms a buffer?

(A) HCl and NaCl
(B) NaOH and NaNO₂
(C) HNO₂ and KNO₂
(D) HNO₃ and NaNO₃
Show Answer

Correct: (C)

A buffer needs a weak acid and its conjugate base. HNO₂ is a weak acid and NO₂⁻ its conjugate base. (A) and (D) pair strong acids with spectator salts; (B) pairs a strong base with a spectator salt.

Q50What is the pH of a buffer made by mixing 50.0 mL of 0.300 M NH₃ (Kb = 1.76 × 10⁻⁵) with 25.0 mL of 0.300 M NH₄Cl?

(A) 9.26
(B) 8.96
(C) 9.56
(D) 10.16
Show Answer

Correct: (C)

Mol NH₃ = 0.0150, mol NH₄⁺ = 0.00750; ratio base/acid = 2.00. pKa = 14 − 4.75 = 9.25. pH = pKa + log(2.00) = 9.25 + 0.30 = 9.56.

Q51A 25.0 mL sample of 0.100 M HBr is titrated with 0.100 M KOH. What is the pH after 12.5 mL of KOH has been added?

(A) 7.00
(B) 1.60
(C) 12.52
(D) 1.48
Show Answer

Correct: (D)

Remaining H⁺ = (0.0250 × 0.100) − (0.0125 × 0.100) = 1.25×10⁻³ mol in 0.0375 L → [H⁺] = 0.0333 M → pH = −log(0.0333) = 1.48.

Q52Benzoic acid (C₆H₅COOH, Ka = 6.3 × 10⁻⁵) is titrated with NaOH. What is the pH at the equivalence point for a 0.120 M benzoic acid sample?

(A) 7.00
(B) 8.49
(C) 5.51
(D) 9.20
Show Answer

Correct: (B)

At equivalence only benzoate remains ([C₆H₅COO⁻] = 0.0600 M after the volume doubles). Kb = Kw/Ka = 1.59×10⁻¹⁰. [OH⁻] = √(Kb·C) = 3.09×10⁻⁶ M → pOH = 5.51 → pH = 8.49 (basic, as expected for a weak-acid titration).

Q53Which 0.10 M aqueous solution has the highest pH?

(A) NH₄NO₃
(B) NaHSO₄
(C) KCN
(D) KCl
Show Answer

Correct: (C)

CN⁻ is the conjugate base of the weak acid HCN, so KCN is basic. NH₄⁺ is acidic (conjugate acid of weak base NH₃), HSO₄⁻ is an appreciably strong weak acid, and KCl is neutral; the basic solution has the highest pH.

🔋 Thermodynamics & Electrochemistry

Q54For the reaction 2Mg(s) + O₂(g) → 2MgO(s), which statement about the standard entropy change is correct?

(A) ΔS° < 0 because 1 mol of gas is converted into solids
(B) ΔS° > 0 because a gas is consumed in the reaction
(C) ΔS° ≈ 0 because the total number of atoms is conserved
(D) ΔS° > 0 because the product is more ordered than the reactants
Show Answer

Correct: (A)

Gases have far greater molar entropy than solids. Converting 1 mol of O₂(g) into solid product decreases the moles of gas and the overall disorder, so ΔS° < 0.

Q55The conversion of graphite to diamond, C(graphite) → C(diamond), has ΔH° = +1.9 kJ/mol and ΔS° = −3.4 J/(mol·K). At 25°C this process is:

(A) spontaneous because ΔG° < 0
(B) at equilibrium because ΔG° = 0
(C) spontaneous only below 0 K
(D) nonspontaneous because ΔG° > 0
Show Answer

Correct: (D)

ΔG° = ΔH° − TΔS° = 1.9 kJ/mol − (298 K)(−3.4×10⁻³ kJ/mol·K) = +2.9 kJ/mol > 0, so the process is nonspontaneous (with ΔH > 0 and ΔS < 0 it is nonspontaneous at all temperatures).

Q56Consider the galvanic cell: Zn(s) | Zn²⁺(1.0 M) || Cu²⁺(1.0 M) | Cu(s). If E°cell = +1.10 V, what is Ecell when [Zn²⁺] = 0.010 M and [Cu²⁺] = 1.0 M at 25°C?

(A) 1.10 V
(B) 1.04 V
(C) 1.16 V
(D) 0.98 V
Show Answer

Correct: (C)

E = E° − (0.0592/2)log([Zn²⁺]/[Cu²⁺]) = 1.10 − 0.0296·log(0.010) = 1.10 + 0.0592 = 1.16 V; lowering the product-ion concentration moves the cell away from equilibrium and raises the potential.

Q57How many grams of chromium metal are deposited at the cathode when a current of 4.50 A flows for 2.00 hours through molten CrCl₃? (Cr = 52.0 g/mol)

(A) 5.82 g
(B) 11.6 g
(C) 8.75 g
(D) 17.5 g
Show Answer

Correct: (A)

Q = It = 4.50 × 7200 s = 3.24×10⁴ C; mol e⁻ = 3.24×10⁴/96485 = 0.336 mol. Cr³⁺ + 3e⁻ → Cr gives 0.336/3 = 0.112 mol Cr; mass = 0.112 × 52.0 = 5.82 g.

Q58The standard reduction potentials are: Ag⁺ + e⁻ → Ag, E° = +0.80 V; Fe³⁺ + e⁻ → Fe²⁺, E° = +0.77 V. What is ΔG° for the reaction Ag⁺(aq) + Fe²⁺(aq) → Ag(s) + Fe³⁺(aq) at 25°C?

(A) −2.9 kJ/mol
(B) +2.9 kJ/mol
(C) −5.8 kJ/mol
(D) +77 kJ/mol
Show Answer

Correct: (A)

E°cell = E°cathode − E°anode = 0.80 − 0.77 = +0.03 V. ΔG° = −nFE° = −(1)(96485)(0.03) = −2.9×10³ J/mol = −2.9 kJ/mol (spontaneous).

☢ Nuclear & Descriptive Chemistry

Q59A 2.50 g sample of a radioactive isotope (t₁/₂ = 12.0 days) is stored for 36.0 days. What mass remains?

(A) 0.625 g
(B) 0.313 g
(C) 0.833 g
(D) 1.25 g
Show Answer

Correct: (B)

36.0 days is 3 half-lives; mass remaining = 2.50 × (1/2)³ = 2.50/8 = 0.313 g.

Q60Which of the following correctly pairs a nuclear process with its description?

(A) Electron capture: a neutron converts to a proton and an electron is emitted
(B) Positron emission: the mass number decreases by 4 and the atomic number by 2
(C) Alpha decay: the atomic number decreases by 2 and the mass number decreases by 4
(D) Beta decay: a proton converts to a neutron and a positron is emitted
Show Answer

Correct: (C)

Alpha decay emits a ⁴₂He nucleus, so Z decreases by 2 and A decreases by 4. (A) describes beta decay; (B) describes alpha decay, not positron emission; (D) describes positron emission, not beta decay.