ACS General Chemistry Practice Test 13

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 copper contains two isotopes: Cu-63 (62.930 amu, 69.15% abundance) and Cu-65 (64.928 amu, 30.85% abundance). What is the atomic mass of copper?

(A) 63.93 amu
(B) 63.55 amu
(C) 64.55 amu
(D) 63.15 amu
Show Answer

Correct: (B)

Weighted average: (0.6915 × 62.930) + (0.3085 × 64.928) = 43.52 + 20.03 = 63.55 amu.

Q2Which of the following orders correctly lists the elements from smallest to largest atomic radius?

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

Correct: (A)

Atomic radius decreases left to right across a period due to increasing effective nuclear charge; the order across Period 2 is C > N > O > F, so smallest to largest is F < O < N < C.

Q3Which electron configuration corresponds to the element with the highest first ionization energy?

(A) [Ne] 3s2 3p3
(B) [Ne] 3s2 3p4
(C) [Ar] 4s2
(D) [Ne] 3s2 3p6
Show Answer

Correct: (D)

The [Ne] 3s2 3p6 configuration is argon, a noble gas with a complete octet and the highest effective nuclear charge in its period, giving the greatest first ionization energy.

Q4Which species is expected to release the most energy when it gains one electron (highest electron affinity)?

(A) F
(B) Cl
(C) Br
(D) Na
Show Answer

Correct: (B)

Although F is more electronegative, Cl has the highest electron affinity because F's small 2p orbitals cause greater electron-electron repulsion when the added electron enters.

Q5In which of the following pairs does the second species have a SMALLER radius than the first?

(A) Na, Na+
(B) Cl, Cl-
(C) O2-, F-
(D) K+, Ca2+
Show Answer

Correct: (A)

A cation loses its outermost shell's electrons and experiences greater effective nuclear charge per remaining electron, so Na+ is smaller than Na. In all other pairs, the second species gains electrons or loses nuclear pull, making it larger.

Q6Which statement correctly explains why the atomic radius of Mg is smaller than that of Na?

(A) Mg has more electron shells than Na.
(B) Mg has a greater effective nuclear charge pulling on the same number of shells.
(C) Mg has fewer protons than Na.
(D) Mg has a filled p subshell.
Show Answer

Correct: (B)

Na and Mg are in the same period with electrons in the same shell (n = 3), but Mg's extra protons increase the effective nuclear charge, pulling the electron cloud closer and shrinking the radius.

🔬 Chemical Bonding & Molecular Geometry

Q7What is the total number of valence electrons that must be accounted for in the Lewis structure of the phosphate ion, PO4 3-?

(A) 29
(B) 32
(C) 24
(D) 31
Show Answer

Correct: (B)

P contributes 5, each O contributes 6 (24 total), and the 3- charge adds 3 electrons: 5 + 24 + 3 = 32 valence electrons.

Q8What is the molecular geometry of the XeF2 molecule?

(A) Bent
(B) Linear
(C) Trigonal planar
(D) T-shaped
Show Answer

Correct: (B)

XeF2 has 5 electron domains around Xe (2 bonding pairs, 3 lone pairs); the 3 lone pairs occupy equatorial positions of a trigonal bipyramid, forcing the two F atoms into axial positions 180° apart, giving linear geometry.

Q9Which of the following bonds is the MOST polar?

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

Correct: (C)

Bond polarity depends on electronegativity difference; oxygen (3.44) has the largest difference from H (2.20) among the choices (ΔEN = 1.24), making O-H the most polar.

Q10What is the hybridization of the nitrogen atom in the NO3- ion?

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

Correct: (B)

N in NO3- is surrounded by 3 electron domains (3 sigma bonds to O, with the pi bond in resonance structures not counted), requiring 3 hybrid orbitals: sp2.

Q11Using molecular orbital theory, what is the bond order of the O2- ion?

(A) 2.0
(B) 1.5
(C) 1.0
(D) 2.5
Show Answer

Correct: (B)

O2- has 13 valence electrons: (σ2s)2(σ*2s)2(σ2p)2(π2p)4(π*2p)3, giving 8 bonding and 5 antibonding electrons; bond order = (8 – 5)/2 = 1.5.

Q12Which substance exhibits hydrogen bonding as its strongest intermolecular force?

(A) CH4
(B) CH3F
(C) NH3
(D) CO2
Show Answer

Correct: (C)

NH3 has H bonded directly to N, a highly electronegative atom with a lone pair, enabling hydrogen bonding. CH4 and CO2 are nonpolar (dispersion only), and CH3F has dipole-dipole forces but no H bonded to N, O, or F.

Q13Which statement correctly distinguishes intermolecular forces from intramolecular forces?

(A) Intermolecular forces are always stronger than intramolecular forces.
(B) Intermolecular forces act between separate molecules, while intramolecular forces are the chemical bonds holding atoms together within a molecule.
(C) Intermolecular forces involve shared electrons, while intramolecular forces do not.
(D) Intramolecular forces determine boiling point, while intermolecular forces determine molecular shape.
Show Answer

Correct: (B)

Intermolecular forces (dispersion, dipole-dipole, hydrogen bonding) act between distinct molecules and are weaker than the intramolecular covalent or ionic bonds within a molecule; boiling point depends on intermolecular forces, and molecular shape depends on intramolecular bonding/VSEPR.

🧪 Stoichiometry & Aqueous Reactions

Q14How many moles of oxygen atoms are present in 2.50 mol of Al2(SO4)3?

(A) 7.50 mol
(B) 10.0 mol
(C) 30.0 mol
(D) 12.0 mol
Show Answer

Correct: (C)

Each formula unit of Al2(SO4)3 contains 3 × 4 = 12 oxygen atoms, so 2.50 mol × 12 = 30.0 mol of oxygen atoms.

Q15Consider the reaction: 2 Al(s) + 3 Cl2(g) → 2 AlCl3(s). If 5.40 g of Al reacts with 14.2 g of Cl2, what is the limiting reactant?

(A) Al
(B) Cl2
(C) Neither; they react in exact stoichiometric amounts
(D) Cannot be determined without the percent yield
Show Answer

Correct: (B)

Moles Al = 5.40/26.98 = 0.200 mol; moles Cl2 = 14.2/70.90 = 0.200 mol. Required ratio Al:Cl2 = 2:3, so 0.200 mol Al needs 0.300 mol Cl2, but only 0.200 mol Cl2 is available; Cl2 is limiting.

Q16A student reacts 25.0 g of CaCO3 with excess HCl and isolates 9.50 g of CaCl2. What is the percent yield?

(A) 38.0%
(B) 34.4%
(C) 68.8%
(D) 42.1%
Show Answer

Correct: (B)

Moles CaCO3 = 25.0/100.09 = 0.2498 mol; theoretical CaCl2 = 0.2498 mol × 110.98 g/mol = 27.7 g. Percent yield = (9.50/27.7) × 100% = 34.3%, approximately 34.4%.

Q17What volume of 0.150 M NaOH solution is required to neutralize 40.0 mL of 0.200 M H2SO4?

(A) 26.7 mL
(B) 53.3 mL
(C) 107 mL
(D) 80.0 mL
Show Answer

Correct: (C)

Moles H2SO4 = 0.0400 L × 0.200 M = 0.00800 mol, giving 0.0160 mol H+ (diprotic). Moles NaOH needed = 0.0160 mol; V = 0.0160/0.150 = 0.107 L = 107 mL.

Q18A 25.0 mL sample of 0.500 M KNO3 is diluted to a final volume of 125 mL with water. What is the concentration of the diluted solution?

(A) 0.100 M
(B) 0.250 M
(C) 2.50 M
(D) 0.0200 M
Show Answer

Correct: (A)

Using M1V1 = M2V2: M2 = (0.500 M × 25.0 mL)/125 mL = 0.100 M.

Q19When aqueous solutions of Pb(NO3)2 and KI are mixed, a yellow precipitate forms. What is the net ionic equation for this reaction?

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

Correct: (B)

The precipitate is PbI2; K+ and NO3- are spectator ions that appear unchanged on both sides, so the net ionic equation is Pb2+(aq) + 2 I-(aq) → PbI2(s).

Q20In the balanced redox reaction (acidic solution): MnO4- + C2O4 2- + H+ → Mn2+ + CO2 + H2O, what is the coefficient of H+?

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

Correct: (B)

Balancing by half-reactions: MnO4- + 8 H+ + 5 e- → Mn2+ + 4 H2O and C2O4 2- → 2 CO2 + 2 e-. Multiplying to equalize 10 e- gives 2 MnO4- + 5 C2O4 2- + 16 H+ → 2 Mn2+ + 10 CO2 + 8 H2O; the H+ coefficient is 16.

🌀 Gases & Intermolecular Forces

Q21A 2.00 L rigid container at 27°C holds a mixture of 0.40 mol N2 and 0.60 mol He. A small leak develops and 0.20 mol of gas escapes before it is sealed. Assuming the escaping gas has the same mole fraction as the original mixture, what is the final pressure in the container?

(A) 4.9 atm
(B) 6.2 atm
(C) 9.9 atm
(D) 12.3 atm
Show Answer

Correct: (C)

0.80 mol of gas remains with unchanged composition. P = nRT/V = (0.80 mol)(0.0821 L·atm/mol·K)(300 K)/(2.00 L) = 9.9 atm.

Q22Which gas sample would show the greatest deviation from ideal behavior under identical conditions of high pressure and low temperature?

(A) He
(B) H2
(C) CH4
(D) NH3
Show Answer

Correct: (D)

NH3 has the strongest intermolecular attractions (hydrogen bonding) of the choices, so it deviates most from ideality at high pressure and low temperature.

Q23A balloon filled with an unknown gas effuses through a small pinhole 2.83 times faster than krypton gas under identical conditions. What is the molar mass of the unknown gas?

(A) 4.00 g/mol
(B) 10.5 g/mol
(C) 29.7 g/mol
(D) 83.8 g/mol
Show Answer

Correct: (B)

Graham's law: 2.83 = √(83.8/M), so M = 83.8/(2.83)² = 83.8/8.01 = 10.5 g/mol.

Q24Rank the following substances in order of increasing boiling point: (I) CH3CH2CH2CH3, (II) CH3CH2CH2OH, (III) CH3OCH2CH3.

(A) I < III < II
(B) III < I < II
(C) I < II < III
(D) II < III < I
Show Answer

Correct: (A)

Butane (I) has only London dispersion forces; dimethyl ether (III) adds dipole-dipole forces; 1-propanol (II) hydrogen bonds, giving the highest boiling point.

Q25Two identical flasks are connected by a stopcock. Flask A (1.0 L) contains O2 at 2.0 atm and flask B (3.0 L) contains N2 at 1.0 atm, both at the same temperature. The stopcock is opened and the gases mix. What is the partial pressure of O2 after mixing?

(A) 0.50 atm
(B) 0.67 atm
(C) 1.0 atm
(D) 1.25 atm
Show Answer

Correct: (A)

Moles of O2 are unchanged, so P1V1 = P2V2: (2.0 atm)(1.0 L) = P(4.0 L), giving P = 0.50 atm.

🔥 Thermochemistry

Q26When 2.50 g of ethanol (C2H5OH, molar mass 46.1 g/mol) burns completely in a bomb calorimeter, the temperature of the calorimeter rises from 24.0°C to 31.5°C. The heat capacity of the calorimeter is 9.30 kJ/°C. What is the molar heat of combustion of ethanol?

(A) +1.29 × 10³ kJ/mol
(B) −1.29 × 10³ kJ/mol
(C) −2.78 × 10² kJ/mol
(D) −6.98 × 10¹ kJ/mol
Show Answer

Correct: (B)

Heat released = CΔT = (9.30 kJ/°C)(7.5°C) = 69.75 kJ from 2.50/46.1 = 0.0542 mol, so ΔH_comb = −69.75/0.0542 = −1.29 × 10³ kJ/mol (negative because the reaction is exothermic).

Q27Given the following reactions:
(1) C(graphite) + O2(g) → CO2(g) ΔH = −394 kJ
(2) H2(g) + ½O2(g) → H2O(l) ΔH = −286 kJ
(3) C2H6(g) + 7/2 O2(g) → 2CO2(g) + 3H2O(l) ΔH = −1562 kJ
What is ΔH for the reaction 2C(graphite) + 3H2(g) → C2H6(g)?

(A) −2338 kJ
(B) +84 kJ
(C) −88 kJ
(D) −84 kJ
Show Answer

Correct: (D)

By Hess's law, combine 2×(1) + 3×(2) − (3): ΔH = 2(−394) + 3(−286) − (−1562) = −788 − 858 + 1562 = −84 kJ.

Q28A 150.0 g sample of an unknown metal at 95.0°C is placed in 200.0 g of water at 22.0°C in an insulated container. The final equilibrium temperature is 27.4°C. What is the specific heat of the metal? (specific heat of water = 4.18 J/g·°C)

(A) 0.90 J/g·°C
(B) 2.10 J/g·°C
(C) 0.24 J/g·°C
(D) 0.44 J/g·°C
Show Answer

Correct: (D)

Heat lost by metal = heat gained by water: (150.0)(c)(95.0 − 27.4) = (200.0)(4.18)(27.4 − 22.0), so c = 4514/10140 = 0.44 J/g·°C.

Q29Use bond enthalpies to estimate ΔH for the reaction CH4(g) + 2O2(g) → CO2(g) + 2H2O(g). Bond enthalpies (kJ/mol): C−H 414, O=O 498, C=O 799, O−H 463.

(A) −1656 kJ
(B) +798 kJ
(C) −798 kJ
(D) −890 kJ
Show Answer

Correct: (C)

Bonds broken: 4(414) + 2(498) = 2652 kJ. Bonds formed: 2(799) + 4(463) = 3450 kJ. ΔH = 2652 − 3450 = −798 kJ.

Q30Which process has a positive ΔH and a positive ΔS?

(A) Condensation of steam at 100°C
(B) Freezing of water at 0°C
(C) Sublimation of dry ice (CO2) at room temperature
(D) Exothermic dissolving of NaOH in water
Show Answer

Correct: (C)

Sublimation (solid → gas) requires heat input (ΔH > 0) and increases disorder (ΔS > 0); the other processes decrease entropy or release heat.

Q31Calculate the standard enthalpy of formation of liquid methanol, CH3OH(l), given ΔH_comb° = −728 kJ/mol for CH3OH(l) + 3/2 O2(g) → CO2(g) + 2H2O(l); ΔHf°[CO2(g)] = −394 kJ/mol; ΔHf°[H2O(l)] = −286 kJ/mol.

(A) −238 kJ/mol
(B) −46 kJ/mol
(C) +238 kJ/mol
(D) −966 kJ/mol
Show Answer

Correct: (A)

ΔH_comb = [ΔHf(CO2) + 2ΔHf(H2O)] − ΔHf(CH3OH), so −728 = [−394 + 2(−286)] − x, giving x = −966 + 728 = −238 kJ/mol.

⚡ Quantum Theory & Electronic Structure

Q32Light of wavelength 280 nm strikes a metal surface whose work function is 4.10 eV. What is the maximum kinetic energy of the ejected photoelectrons? (hc = 1240 eV·nm)

(A) 0.33 eV
(B) 4.43 eV
(C) No electrons are ejected
(D) 8.53 eV
Show Answer

Correct: (A)

Photon energy = hc/λ = 1240/280 = 4.43 eV, which exceeds the work function, so KE_max = 4.43 − 4.10 = 0.33 eV.

Q33Which set of quantum numbers (n, l, ml, ms) is NOT allowed for an electron in an atom?

(A) 3, 2, −1, +½
(B) 2, 1, 2, +½
(C) 4, 0, 0, −½
(D) 5, 3, −3, −½
Show Answer

Correct: (B)

For l = 1, ml may only be −1, 0, or +1; ml = 2 is not permitted.

Q34The ground-state electron configuration of a neutral atom ends in …4s²3d⁶. Which element is it?

(A) Cr
(B) Fe
(C) Co
(D) Ni
Show Answer

Correct: (B)

[Ar]4s²3d⁶ corresponds to 26 total electrons, which is iron, Fe (Z = 26).

Q35Which statement about atomic orbitals is TRUE?

(A) The 4s orbital fills before the 3d orbital because it is always lower in energy
(B) A p orbital has one angular node passing through the nucleus
(C) A 3d orbital has two radial nodes and no angular nodes
(D) The n = 3 shell contains 6 orbitals
Show Answer

Correct: (B)

A p orbital (l = 1) has exactly one angular (planar) node passing through the nucleus. A 3d orbital has 2 angular nodes and 0 radial nodes, and the n = 3 shell holds 9 orbitals.




⏱ Chemical Kinetics

Q36For the reaction 2NO(g) + O2(g) → 2NO2(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 reaction rate change?

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

Correct: (C)

The rate changes by a factor of (3)² × (1/2) = 9 × 0.5 = 4.5.

Q37A first-order reaction has a half-life of 45 minutes. What fraction of the reactant remains after 3.0 hours?

(A) 1/4
(B) 1/64
(C) 1/16
(D) 1/8
Show Answer

Correct: (C)

3.0 hours = 180 min, which is 180/45 = 4 half-lives, so the fraction remaining is (1/2)⁴ = 1/16.

Q38The rate constant of a reaction doubles when the temperature increases from 300 K to 310 K. What is the approximate activation energy?

(A) 25 kJ/mol
(B) 212 kJ/mol
(C) 106 kJ/mol
(D) 53 kJ/mol
Show Answer

Correct: (D)

From the Arrhenius equation, ln 2 = (Ea/R)(1/300 − 1/310), so Ea = (0.693)(8.314 J/mol·K)/(1.075 × 10⁻⁴ K⁻¹) ≈ 5.4 × 10⁴ J/mol ≈ 53 kJ/mol.

Q39A proposed mechanism for a reaction is:
Step 1: A + B → C (slow)
Step 2: C + D → E + F (fast)
What is the rate law consistent with this mechanism?

(A) rate = k[A][B][D]
(B) rate = k[C][D]
(C) rate = k[A][B][C]
(D) rate = k[A][B]
Show Answer

Correct: (D)

The slow step is rate-determining, so the rate law is determined by the reactants of Step 1: rate = k[A][B].

Q40For the second-order reaction 2HI(g) → H2(g) + I2(g), a plot of 1/[HI] versus time is linear with a slope of 0.0250 L/mol·s. If the initial [HI] is 0.400 M, what is [HI] after 180 s?

(A) 0.143 M
(B) 0.067 M
(C) 0.200 M
(D) 0.286 M
Show Answer

Correct: (A)

Using the integrated second-order rate law, 1/[HI]t = kt + 1/[HI]0 = (0.0250)(180) + 1/0.400 = 4.50 + 2.50 = 7.00 M⁻¹, so [HI]t = 1/7.00 = 0.143 M.

Q41The first-order decomposition of a certain pesticide has a rate constant of 2.5 × 10^-3 s^-1 at 25°C and 1.1 × 10^-2 s^-1 at 50°C. What is the approximate activation energy for this reaction?

(A) 12 kJ/mol
(B) 47 kJ/mol
(C) 95 kJ/mol
(D) 190 kJ/mol
Show Answer

Correct: (B)

Using ln(k2/k1) = (Ea/R)(1/T1 − 1/T2): ln(4.4) = 1.48, (1/298 − 1/323) = 2.60 × 10^-4 K^-1, so Ea = (8.314)(1.48)/(2.60 × 10^-4) ≈ 4.7 × 10^4 J/mol.

⇆ Chemical Equilibrium

Q42For the reaction A(g) ⇌ 2 B(g), Kc = 0.25 at a certain temperature. A 1.0 L vessel initially contains 0.50 mol of A and 0.20 mol of B. In which direction will the reaction proceed to reach equilibrium?

(A) It will shift toward the reactants.
(B) It is already at equilibrium.
(C) The value of Kc will increase until Q equals K.
(D) It will shift toward the products.
Show Answer

Correct: (D)

Q = [B]^2/[A] = (0.20)^2/(0.50) = 0.080, which is less than Kc = 0.25, so the reaction proceeds forward to make more product.

Q43Consider the reaction CaCO3(s) ⇌ CaO(s) + CO2(g), ΔH° = +178 kJ/mol. Which change will increase the equilibrium pressure of CO2?

(A) Raising the temperature of the system.
(B) Adding more solid CaCO3 to the container.
(C) Decreasing the volume of the container at constant temperature.
(D) Removing some of the solid CaO.
Show Answer

Correct: (A)

The reaction is endothermic, so raising the temperature shifts the equilibrium to the right, producing more CO2. Solids do not appear in the equilibrium expression, and at fixed T the equilibrium pressure of CO2 is independent of container volume.

Q44For the reaction PCl5(g) ⇌ PCl3(g) + Cl2(g), Kc = 0.045 at 250°C. A sealed flask initially contains 0.80 M PCl5 and no products. What is [PCl3] at equilibrium?

(A) 0.036 M
(B) 0.085 M
(C) 0.17 M
(D) 0.29 M
Show Answer

Correct: (C)

With x = [PCl3] = [Cl2], x^2/(0.80 − x) = 0.045 gives x^2 + 0.045x − 0.036 = 0, so x = 0.17 M.

Q45At 700 K, a 2.0 L flask at equilibrium contains 0.30 mol SO2, 0.20 mol O2, and 0.90 mol SO3 for the reaction 2 SO2(g) + O2(g) ⇌ 2 SO3(g). What is Kp at this temperature?

(A) 1.6 atm^-1
(B) 0.64 atm^-1
(C) 90 atm^-1
(D) 5.2 × 10^3 atm^-1
Show Answer

Correct: (A)

Kc = (0.45)^2/[(0.15)^2(0.10)] = 90; Kp = Kc(RT)^Δn with Δn = −1 gives Kp = 90/[(0.0821)(700)] ≈ 1.6 atm^-1.

Q46For the reaction Cr2O7^2-(aq) + H2O(l) ⇌ 2 CrO4^2-(aq) + 2 H+(aq), the equilibrium-constant expression is

(A) Kc = [Cr2O7^2-]/([CrO4^2-]^2[H+]^2)
(B) Kc = [CrO4^2-]^2[H+]^2[H2O]/[Cr2O7^2-]
(C) Kc = [CrO4^2-][H+]/[Cr2O7^2-]
(D) Kc = [CrO4^2-]^2[H+]^2/[Cr2O7^2-]
Show Answer

Correct: (D)

Products over reactants, each raised to its stoichiometric coefficient; pure liquid water is omitted from the expression.

Q47A vessel containing 2 NO2(g) ⇌ N2O4(g) at equilibrium has its volume suddenly halved at constant temperature. After equilibrium is re-established, which statement is true?

(A) The value of Kc is larger than it was before compression.
(B) The amount of N2O4 present is greater than it was before compression.
(C) The partial pressure of NO2 is lower than its original value.
(D) The total number of gas molecules is greater than before.
Show Answer

Correct: (B)

Halving the volume doubles the total pressure, shifting the equilibrium toward the side with fewer gas moles (N2O4); Kc depends only on temperature.

🧫 Acids, Bases & Buffers

Q48The Ka of propanoic acid (CH3CH2COOH) is 1.3 × 10^-5. What is the pH of a 0.10 M aqueous solution of propanoic acid?

(A) 1.00
(B) 2.94
(C) 4.89
(D) 5.99
Show Answer

Correct: (B)

[H+] ≈ √(Ka · C) = √(1.3 × 10^-6) = 1.1 × 10^-3 M, so pH = 2.94.

Q4950.0 mL of 0.20 M HCN (Ka = 4.9 × 10^-10) is mixed with 50.0 mL of 0.30 M NaCN. What is the pH of the resulting solution?

(A) 9.49
(B) 9.31
(C) 9.13
(D) 9.66
Show Answer

Correct: (A)

pH = pKa + log([CN-]/[HCN]) = 9.31 + log(0.30/0.20) = 9.31 + 0.18 = 9.49.

Q50At 25°C, Kb for pyridine (C5H5N) is 1.7 × 10^-9. What is Ka of the pyridinium ion (C5H5NH+)?

(A) 1.7 × 10^-9
(B) 1.7 × 10^-5
(C) 5.9 × 10^-6
(D) 5.9 × 10^-9
Show Answer

Correct: (C)

For a conjugate pair, Ka · Kb = Kw, so Ka = 1.0 × 10^-14/1.7 × 10^-9 = 5.9 × 10^-6.

Q5125.0 mL of 0.20 M benzoic acid (Ka = 6.3 × 10^-5) is titrated with 0.20 M NaOH. What is the pH at the equivalence point?

(A) 5.40
(B) 8.60
(C) 7.00
(D) 11.60
Show Answer

Correct: (B)

At equivalence, [C6H5COO-] = 0.10 M; Kb = Kw/Ka = 1.59 × 10^-10, [OH-] = √(1.59 × 10^-11) = 3.99 × 10^-6 M, giving pOH = 5.40 and pH = 8.60.

Q52A 0.50 L buffer contains 0.10 M CH3COOH and 0.10 M CH3COONa (Ka = 1.8 × 10^-5). After 0.010 mol of HCl is added to the buffer, what is the resulting pH? (Assume no volume change.)

(A) 4.74
(B) 4.92
(C) 4.39
(D) 4.57
Show Answer

Correct: (D)

The added H+ converts 0.010 mol of acetate to acetic acid: [HA]/[A-] = 0.060/0.040, so pH = 4.74 + log(0.040/0.060) = 4.57.

Q53At 25°C, Kb for NH3 is 1.8 × 10^-5. What is the pH of a 0.10 M NH4Cl solution?

(A) 5.13
(B) 11.13
(C) 3.63
(D) 7.00
Show Answer

Correct: (A)

Ka(NH4+) = Kw/Kb = 5.6 × 10^-10; [H+] ≈ √(5.6 × 10^-11) = 7.5 × 10^-6 M, so pH = 5.13.

🔋 Thermodynamics & Electrochemistry

Q54For which reaction is ΔS° expected to be negative?

(A) N2(g) + 3 H2(g) → 2 NH3(g)
(B) CaCO3(s) → CaO(s) + CO2(g)
(C) H2O(l) → H2O(g)
(D) 2 SO3(g) → 2 SO2(g) + O2(g)
Show Answer

Correct: (A)

Only this reaction decreases the number of moles of gas (4 mol → 2 mol), reducing the disorder of the system.

Q55For the reaction 2 CO(g) + O2(g) → 2 CO2(g), ΔH° = −566 kJ/mol and ΔS° = −173 J/(mol·K). What is ΔG° at 298 K?

(A) −618 kJ/mol
(B) −463 kJ/mol
(C) +514 kJ/mol
(D) −514 kJ/mol
Show Answer

Correct: (D)

ΔG° = ΔH° − TΔS° = −566 − (298)(−0.173) = −566 + 51.6 = −514 kJ/mol.

Q56What is E°cell for the galvanic cell Mg(s) | Mg2+(1 M) || Ag+(1 M) | Ag(s)? (E° Mg2+/Mg = −2.37 V; E° Ag+/Ag = +0.80 V)

(A) 1.57 V
(B) 3.17 V
(C) −3.17 V
(D) 2.37 V
Show Answer

Correct: (B)

E°cell = E°cathode − E°anode = (+0.80) − (−2.37) = 3.17 V.

Q57For the cell Zn(s) | Zn2+(0.010 M) || Cu2+(1.0 M) | Cu(s) at 25°C, E°cell = 1.10 V. What is the measured cell potential?

(A) 1.04 V
(B) 1.10 V
(C) 1.16 V
(D) 1.22 V
Show Answer

Correct: (C)

E = E° − (0.0592/2)log([Zn2+]/[Cu2+]) = 1.10 − (0.0296)(−2.00) = 1.16 V.

Q58How many grams of aluminum are deposited at the cathode when a current of 3.00 A flows for 2.00 h through molten Al2O3? (Molar mass of Al = 27.0 g/mol)

(A) 2.01 g
(B) 6.04 g
(C) 0.67 g
(D) 18.1 g
Show Answer

Correct: (A)

Charge = (3.00)(7200) = 21,600 C = 0.224 mol e-; Al3+ requires 3 e- per atom, so (0.224/3)(27.0) = 2.01 g of Al.

☢ Nuclear & Descriptive Chemistry

Q59Phosphorus-32 has a half-life of 14.3 days. How long will it take for an 80.0 mg sample of phosphorus-32 to decay to 5.00 mg?

(A) 28.6 days
(B) 57.2 days
(C) 42.9 days
(D) 71.5 days
Show Answer

Correct: (B)

80.0 → 5.00 mg is a factor of 16 = 2^4, so 4 half-lives elapse: 4 × 14.3 = 57.2 days.

Q60Which of the following oxides is the most acidic?

(A) Na2O
(B) MgO
(C) Al2O3
(D) SiO2
Show Answer

Correct: (D)

Across Period 3, oxides become more acidic with increasing electronegativity of the element; SiO2 is an acidic oxide while Na2O and MgO are basic and Al2O3 is amphoteric.