ACS General Chemistry Practice Test 9

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 naturally occurring sample of gallium contains 60.1% Ga-69 (atomic mass 68.926 u) and the remainder Ga-71 (atomic mass 70.925 u). What is the average atomic mass of gallium in this sample?

(A) 69.00 u
(B) 69.73 u
(C) 69.92 u
(D) 70.12 u
Show Answer

Correct: (B)

Weighted average = 0.601(68.926) + 0.399(70.925) = 41.42 + 28.30 = 69.73 u.

Q2Which of the following electron configurations represents a ground-state chromium atom?

(A) [Ar] 4s2 3d4
(B) [Ar] 4s1 3d5
(C) [Ar] 4s2 3d3
(D) [Ar] 4s1 3d4
Show Answer

Correct: (B)

Chromium is an exception to the Aufbau filling order: a half-filled 4s and half-filled 3d subshell is more stable, giving [Ar] 4s1 3d5 rather than [Ar] 4s2 3d4.

Q3For the ion Se2−, which of the following gives the correct ground-state electron configuration?

(A) [Ar] 4s2 3d10 4p4
(B) [Ar] 4s2 3d10 4p6
(C) [Kr] 5s2 4d10 5p2
(D) [Ar] 4s1 3d10 4p5
Show Answer

Correct: (B)

Neutral Se is [Ar] 4s2 3d10 4p4. Gaining 2 electrons fills the 4p subshell, giving [Ar] 4s2 3d10 4p6 (isoelectronic with Kr).

Q4Which of the following lists the elements in order of increasing first ionization energy?

(A) Al < Si < S < Cl
(B) S < Cl < Al < Si
(C) Al < S < Si < Cl
(D) Cl < S < Si < Al
Show Answer

Correct: (A)

Ionization energy increases across a period (left to right) as effective nuclear charge rises, so Al < Si < S < Cl.

Q5Which of the following ions is largest?

(A) Al3+
(B) Mg2+
(C) Na+
(D) O2−
Show Answer

Correct: (D)

All four are isoelectronic (10 electrons), so size is set by nuclear charge: the fewest protons (O2−, Z = 8) exert the weakest pull, making O2− the largest.

Q6An element has the following successive ionization energies (kJ/mol): IE1 = 737, IE2 = 1451, IE3 = 7733. Which element is most likely being described?

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

Correct: (B)

The huge jump between IE2 and IE3 indicates removal of a core electron after two valence electrons are removed, identifying a Group 2A element. Of the choices, Mg (Z = 12) fits; Na and K are Group 1A (jump after IE1) and Al is Group 3A (jump after IE3).

🔬 Chemical Bonding & Molecular Geometry

Q7What is the formal charge on the central atom in the Lewis structure of the carbonate ion, CO3 2−, drawn with the maximum number of nonbonding electrons satisfying octets?

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

Correct: (C)

Carbon has 4 valence electrons, forms 4 bonds total (one double + two single in any resonance form) and has no lone pairs: 4 − (0 + 4) = 0.

Q8How many sigma (σ) bonds and pi (π) bonds are present in a molecule of formic acid, HCOOH?

(A) 4 σ, 1 π
(B) 5 σ, 1 π
(C) 4 σ, 2 π
(D) 5 σ, 2 π
Show Answer

Correct: (A)

The structure H−C(=O)−O−H contains four σ bonds (H−C, C=O, C−O, O−H) and one π bond (in the C=O double bond).

Q9According to VSEPR theory, what is the molecular geometry of the chlorite ion, ClO2−?

(A) Linear
(B) Bent
(C) Trigonal planar
(D) Tetrahedral
Show Answer

Correct: (B)

ClO2− has 20 valence electrons; the central Cl has 2 bonding pairs and 2 lone pairs (AX2E2), giving a bent molecular geometry.

Q10Which molecule has a bond angle closest to 120°?

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

Correct: (B)

BF3 is trigonal planar (AX3, no lone pairs) with ideal 120° bond angles. CH4 is 109.5°, and H2O/NH3 are near tetrahedral but compressed below 109.5° by lone pairs.

Q11What is the hybridization of the central atom in sulfur hexafluoride, SF6?

(A) sp3
(B) sp3d
(C) sp3d2
(D) sp3d3
Show Answer

Correct: (C)

SF6 has six bonding pairs and no lone pairs (octahedral, AX6), requiring six hybrid orbitals: sp3d2.

Q12Which of the following molecules is polar?

(A) CCl4
(B) CO2
(C) SO2
(D) BCl3
Show Answer

Correct: (C)

SO2 is bent (AX2E), so its bond dipoles do not cancel. CCl4, CO2, and BCl3 are symmetric and nonpolar.

Q13Rank the following nitrogen-containing species in order of increasing N−O or N−N bond length: NO+, NO, NO−.

(A) NO+ < NO < NO−
(B) NO− < NO < NO+
(C) NO < NO+ < NO−
(D) NO+ < NO− < NO
Show Answer

Correct: (A)

Bond orders: NO+ = 3, NO = 2.5, NO− = 2. Higher bond order means shorter, stronger bonds, so NO+ (shortest) < NO < NO− (longest).

🧪 Stoichiometry & Aqueous Reactions

Q14Ammonium sulfate fertilizer is produced by the reaction 2NH3(g) + H2SO4(aq) → (NH4)2SO4(aq). What mass of ammonium sulfate can be produced from 34.0 g of NH3 reacting with excess sulfuric acid? (Molar masses: NH3 = 17.03 g/mol, (NH4)2SO4 = 132.15 g/mol)

(A) 66.1 g
(B) 99.1 g
(C) 132 g
(D) 264 g
Show Answer

Correct: (C)

34.0 g NH3 = 1.996 mol; the 2:1 mole ratio gives 0.998 mol (NH4)2SO4, and 0.998 mol × 132.15 g/mol = 132 g.

Q15Aluminum metal is produced from aluminum chloride by the reaction 3Mg(s) + 2AlCl3(aq) → 3MgCl2(aq) + 2Al(s). If 12.2 g of Mg and 33.4 g of AlCl3 react, which reactant limits and what mass of Al forms? (Molar masses: Mg = 24.31, AlCl3 = 133.33, Al = 26.98 g/mol)

(A) AlCl3 is limiting; 6.76 g Al forms
(B) Mg is limiting; 9.03 g Al forms
(C) AlCl3 is limiting; 3.38 g Al forms
(D) Mg is limiting; 6.76 g Al forms
Show Answer

Correct: (A)

12.2 g Mg = 0.502 mol requires 0.335 mol AlCl3, but only 0.251 mol AlCl3 is present, so AlCl3 limits; 0.251 mol Al × 26.98 g/mol = 6.76 g Al.

Q16Ammonia is synthesized by N2(g) + 3H2(g) → 2NH3(g). Starting with 50.0 g of N2 (excess H2), the reaction produces 45.0 g of NH3. What is the percent yield? (Molar masses: N2 = 28.02, NH3 = 17.03 g/mol)

(A) 90.0%
(B) 82.5%
(C) 66.7%
(D) 74.0%
Show Answer

Correct: (D)

Theoretical yield: 50.0 g N2 = 1.784 mol → 3.569 mol NH3 = 60.8 g; percent yield = (45.0 / 60.8) × 100% = 74.0%.

Q17A phosphorus oxide contains 43.7% P and 56.3% O by mass. What is its empirical formula? (Molar masses: P = 30.97, O = 16.00 g/mol)

(A) PO
(B) P2O5
(C) P2O3
(D) P4O10
Show Answer

Correct: (B)

43.7/30.97 = 1.411 mol P and 56.3/16.00 = 3.519 mol O gives a 1:2.5 ratio, which doubles to P2O5; P4O10 is the molecular formula, not the empirical formula.

Q18A chemist mixes 100. mL of 0.250 M NaCl with 200. mL of 0.100 M NaCl. What is the molarity of NaCl in the resulting solution?

(A) 0.175 M
(B) 0.125 M
(C) 0.150 M
(D) 0.200 M
Show Answer

Correct: (C)

Total moles = (0.100 L)(0.250 M) + (0.200 L)(0.100 M) = 0.0450 mol in 0.300 L, so M = 0.0450/0.300 = 0.150 M.

Q19Aqueous solutions of sodium phosphate and calcium chloride are mixed: 2Na3PO4(aq) + 3CaCl2(aq) → Ca3(PO4)2(s) + 6NaCl(aq). What is the net ionic equation?

(A) Na^+(aq) + Cl^-(aq) → NaCl(aq)
(B) 3Ca^2+(aq) + 2PO4^3-(aq) → Ca3(PO4)2(s)
(C) No precipitate forms; all ions remain in solution
(D) Ca^2+(aq) + 2Cl^-(aq) → CaCl2(s)
Show Answer

Correct: (B)

Ca3(PO4)2 is the insoluble precipitate; Na^+ and Cl^- are spectator ions and cancel, leaving only Ca^2+ and PO4^3- in the net ionic equation.

Q20What volume of 0.250 M NaOH is required to neutralize 25.00 mL of 0.200 M H2SO4? (H2SO4 + 2NaOH → Na2SO4 + 2H2O)

(A) 20.0 mL
(B) 80.0 mL
(C) 50.0 mL
(D) 40.0 mL
Show Answer

Correct: (D)

Moles H^+ = 2(0.02500 L)(0.200 M) = 0.0100 mol, requiring 0.0100 mol NaOH; V = 0.0100 mol / 0.250 M = 0.0400 L = 40.0 mL.

🌀 Gases & Intermolecular Forces

Q21What volume is occupied by 2.50 mol of N2 gas at 350 K and 1.50 atm? (R = 0.08206 L·atm/mol·K)

(A) 47.9 L
(B) 23.9 L
(C) 71.8 L
(D) 95.8 L
Show Answer

Correct: (A)

V = nRT/P = (2.50)(0.08206)(350)/1.50 = 47.9 L.

Q22A 3.00 L flask contains 4.20 g of an unknown gas at 300 K and 0.980 atm. What is the molar mass of the gas? (R = 0.08206 L·atm/mol·K)

(A) 17.6 g/mol
(B) 28.0 g/mol
(C) 35.2 g/mol
(D) 70.3 g/mol
Show Answer

Correct: (C)

Gas density = 4.20 g/3.00 L = 1.40 g/L; M = dRT/P = (1.40)(0.08206)(300)/0.980 = 35.2 g/mol.

Q23Hydrogen gas is collected over water at 25°C. The total pressure is 755 torr and the vapor pressure of water at 25°C is 23.8 torr. What is the partial pressure of the dry H2?

(A) 779 torr
(B) 731 torr
(C) 755 torr
(D) 23.8 torr
Show Answer

Correct: (B)

By Dalton's law, P(H2) = P(total) − P(H2O) = 755 − 23.8 = 731 torr.

Q24A sample of methane (CH4, M = 16.04 g/mol) effuses through a pinhole in 45.0 s. How long will it take an equal amount of sulfur dioxide (SO2, M = 64.07 g/mol) to effuse under identical conditions?

(A) 90.0 s
(B) 45.0 s
(C) 22.5 s
(D) 180 s
Show Answer

Correct: (A)

By Graham's law, t(SO2) = t(CH4) × √(M(SO2)/M(CH4)) = 45.0 × √(64.07/16.04) = 45.0 × 2.00 = 90.0 s.

Q25Which liquid has the lowest vapor pressure at 25°C?

(A) Diethyl ether, CH3CH2OCH2CH3
(B) Acetone, CH3COCH3
(C) Ethanol, CH3CH2OH
(D) Ethylene glycol, HOCH2CH2OH
Show Answer

Correct: (D)

Ethylene glycol has two –OH groups and forms the most extensive hydrogen-bonding network, giving it the strongest intermolecular forces and therefore the lowest vapor pressure.

🔥 Thermochemistry

Q26A 45.0 g block of aluminum (specific heat capacity = 0.897 J/g·°C), initially at 95.0 °C, is dropped into a calorimeter containing 120.0 g of water at 22.0 °C. Assuming no heat is lost to the calorimeter itself, what is the final equilibrium temperature?

(A) 25.9 °C
(B) 27.4 °C
(C) 29.8 °C
(D) 31.2 °C
Show Answer

Correct: (B)

Heat lost by Al = heat gained by water: 45.0(0.897)(95.0 − Tf) = 120.0(4.184)(Tf − 22.0). Solving: 3835.7 − 40.37Tf = 502.08Tf − 11045.8 → Tf = 14881.5/542.45 = 27.4 °C.

Q27Use Hess's law with the reactions below to find ΔH for 4NH3(g) + 5O2(g) → 4NO(g) + 6H2O(l).
N2(g) + 3H2(g) → 2NH3(g) ΔH = −92.2 kJ
N2(g) + O2(g) → 2NO(g) ΔH = +180.5 kJ
2H2(g) + O2(g) → 2H2O(l) ΔH = −571.6 kJ

(A) −1169.4 kJ
(B) −905.4 kJ
(C) −1540.2 kJ
(D) −2088.6 kJ
Show Answer

Correct: (A)

Reverse the first (×2): +184.4 kJ; double the second: +361.0 kJ; triple the third: −1714.8 kJ. The N2 and H2 cancel, giving 4NH3 + 5O2 → 4NO + 6H2O(l) with ΔH = 184.4 + 361.0 − 1714.8 = −1169.4 kJ.

Q28Estimate ΔH for the hydrogenation of propene: C3H6(g) + H2(g) → C3H8(g), using these average bond enthalpies: C=C 614, C–C 347, C–H 413, H–H 436 kJ/mol.

(A) −76 kJ
(B) −214 kJ
(C) −123 kJ
(D) +123 kJ
Show Answer

Correct: (C)

Bonds broken: 1 C=C + 6 C–H + 1 H–H = 614 + 2478 + 436 = 3528 kJ. Bonds formed: 1 C–C + 8 C–H = 347 + 3304 = 3651 kJ. ΔH = broken − formed = 3528 − 3651 = −123 kJ.

Q29Given standard enthalpies of formation: ΔHf° [CH4(g)] = −74.8, [CO2(g)] = −393.5, [H2O(l)] = −285.8 kJ/mol, calculate ΔH°rxn for CH4(g) + 2O2(g) → CO2(g) + 2H2O(l).

(A) −890 kJ
(B) −965 kJ
(C) −741 kJ
(D) +890 kJ
Show Answer

Correct: (A)

ΔH° = [−393.5 + 2(−285.8)] − [−74.8 + 0] = −965.1 + 74.8 = −890.3 kJ.

Q30How much heat must be absorbed to completely melt 25.0 g of ice at 0 °C to liquid water at 0 °C? (ΔHfus of water = 6.02 kJ/mol; molar mass H2O = 18.015 g/mol)

(A) 4.2 kJ
(B) 6.0 kJ
(C) 10.4 kJ
(D) 8.35 kJ
Show Answer

Correct: (D)

Moles of ice = 25.0/18.015 = 1.388 mol. q = nΔHfus = 1.388(6.02) = 8.35 kJ absorbed.

Q31Which statement correctly describes enthalpy sign conventions?

(A) ΔH is negative for an endothermic reaction.
(B) In an exothermic process, the surroundings cool down.
(C) A negative ΔH means the system releases heat to the surroundings (exothermic).
(D) Heat always flows from the surroundings into the system.
Show Answer

Correct: (C)

By convention, ΔH = H(products) − H(reactants). Releasing heat makes H(products) < H(reactants), so ΔH is negative for exothermic processes.

⚡ Quantum Theory & Electronic Structure

Q32A blue-violet photon has a wavelength (λ) of 455 nm. What is the energy of one such photon? (h = 6.626 x 10^-34 J·s, c = 2.998 x 10^8 m/s)

(A) 4.37 x 10^-19 J
(B) 1.10 x 10^-18 J
(C) 2.62 x 10^-19 J
(D) 6.58 x 10^-19 J
Show Answer

Correct: (A)

E = hc/λ = (6.626 x 10^-34)(2.998 x 10^8)/(455 x 10^-9) = 4.37 x 10^-19 J.

Q33A metal has a threshold frequency (ν0) of 1.10 x 10^15 Hz. Light of wavelength 220 nm strikes the metal surface. What happens?

(A) Nothing — the photon energy is below the work function.
(B) Electrons are ejected with kinetic energy of about 1.7 x 10^-19 J.
(C) Electrons are ejected but with zero kinetic energy.
(D) Electrons are ejected only if the light intensity is doubled.
Show Answer

Correct: (B)

Photon energy = hc/λ = 9.03 x 10^-19 J. Work function = hν0 = 7.29 x 10^-19 J. Since E(photon) > work function, electrons are ejected with KE = 9.03 x 10^-19 − 7.29 x 10^-19 = 1.74 x 10^-19 J.

Q34Which of the following sets of quantum numbers (n, l, ml, ms) is NOT permitted for an electron in an atom?

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

Correct: (C)

For n = 2, the allowed values of l are 0 and 1 (l must be less than n). l = 2 is not allowed, so the entire set is forbidden.

Q35An electron travels at 2.19 x 10^6 m/s (the speed of the electron in the first Bohr orbit). What is its de Broglie wavelength? (h = 6.626 x 10^-34 J·s, me = 9.11 x 10^-31 kg)

(A) 3.3 x 10^-11 m
(B) 3.3 x 10^-9 m
(C) 1.1 x 10^-10 m
(D) 3.3 x 10^-10 m
Show Answer

Correct: (D)

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




⏱ Chemical Kinetics

Q36Consider the reaction 2X(g) + Y(g) → Z(g). Three initial-rate experiments gave:
Exp 1: [X] = 0.10 M, [Y] = 0.10 M, rate = 4.0×10−4 M/s
Exp 2: [X] = 0.20 M, [Y] = 0.10 M, rate = 1.6×10−3 M/s
Exp 3: [X] = 0.10 M, [Y] = 0.20 M, rate = 8.0×10−4 M/s
What is the rate law?

(A) rate = k[X][Y]
(B) rate = k[X][Y]²
(C) rate = k[X]²[Y]
(D) rate = k[X]²[Y]²
Show Answer

Correct: (C)

Doubling [X] (Exp 1 → 2) quadruples the rate, so the reaction is 2nd order in X; doubling [Y] (Exp 1 → 3) doubles the rate, so it is 1st order in Y.

Q37The first-order decomposition N2O5(g) → products has a half-life of 24.0 min at a certain temperature. A sample starts at [N2O5] = 0.80 M. What is [N2O5] after 72.0 min?

(A) 0.40 M
(B) 0.10 M
(C) 0.20 M
(D) 0.05 M
Show Answer

Correct: (B)

72.0 min is exactly 3 half-lives: 0.80 → 0.40 → 0.20 → 0.10 M.

Q38For the gas-phase reaction 2HI(g) → H2(g) + I2(g), the rate constant is 2.5×10−3 s−1 at 25°C and 2.0×10−2 s−1 at 45°C. What is the activation energy?

(A) 41 kJ/mol
(B) 82 kJ/mol
(C) 118 kJ/mol
(D) 62 kJ/mol
Show Answer

Correct: (B)

From ln(k2/k1) = (Ea/R)(1/T1 − 1/T2): ln(8.0) = 2.08 = (Ea/8.314)(1/298 − 1/318), giving Ea ≈ 8.2×10⁴ J/mol ≈ 82 kJ/mol.

Q39For the reaction 2NO(g) + Cl2(g) → 2NOCl(g), the experimentally determined rate law is rate = k[NO]²[Cl2]. What are the units of the rate constant k?

(A) s−1
(B) M−1·s−1
(C) M·s−1
(D) M−2·s−1
Show Answer

Correct: (D)

The reaction is 3rd order overall, so units of k are M^(1−3)·s−1 = M−2·s−1, which makes rate come out in M/s.

Q40A catalyst is added to the reaction 2SO2(g) + O2(g) → 2SO3(g). Which statement correctly describes the effect of the catalyst?

(A) It provides an alternative reaction pathway with a lower activation energy.
(B) It increases the equilibrium constant for the reaction.
(C) It increases the enthalpy change (ΔH) of the reaction.
(D) It is permanently consumed in the reaction and must be replaced.
Show Answer

Correct: (A)

A catalyst speeds the reaction by offering a lower-Ea mechanism; it changes neither K nor ΔH and is regenerated.

Q41The dimerization 2A(g) → A2(g) is second order in A, with k = 0.050 L·mol−1·s−1 at 500 K. If [A]0 = 0.20 M, what is [A] after 50.0 s?

(A) 0.040 M
(B) 0.067 M
(C) 0.133 M
(D) 0.167 M
Show Answer

Correct: (C)

Second-order integrated law: 1/[A] = 1/0.20 + (0.050)(50) = 5.0 + 2.5 = 7.5 M−1, so [A] = 1/7.5 = 0.133 M.

⇆ Chemical Equilibrium

Q42For the reaction 4NH3(g) + 3O2(g) → 2N2(g) + 6H2O(g), what is the relationship between Kp and Kc?

(A) Kp = Kc
(B) Kp = Kc(RT)
(C) Kp = Kc(RT)²
(D) Kp = Kc/(RT)²
Show Answer

Correct: (B)

Δn = (2 + 6) − (4 + 3) = 1, and Kp = Kc(RT)^(Δn), so Kp = Kc(RT).

Q43Consider 2NO2(g) → N2O4(g) with Kc = 4.0 at 25°C. A flask initially contains 0.80 M NO2 and no N2O4. What is the equilibrium concentration of N2O4?

(A) 0.10 M
(B) 0.20 M
(C) 0.40 M
(D) 0.27 M
Show Answer

Correct: (D)

ICE: [NO2] = 0.80 − 2x, [N2O4] = x; Kc = x/(0.80 − 2x)² = 4.0. Solving gives x = 0.27 M (check: 0.27/(0.26)² = 3.99 ≈ 4.0).

Q44For PCl5(g) → PCl3(g) + Cl2(g), Kc = 0.18 at 250°C. A mixture contains [PCl5] = 0.40 M, [PCl3] = 0.30 M, and [Cl2] = 0.10 M. What will happen?

(A) The reaction proceeds toward products until equilibrium is reached.
(B) The reaction proceeds toward reactants until equilibrium is reached.
(C) The system is already at equilibrium.
(D) The direction cannot be predicted without additional data.
Show Answer

Correct: (A)

Q = [PCl3][Cl2]/[PCl5] = (0.30)(0.10)/0.40 = 0.075 < Kc = 0.18, so the forward reaction occurs to form more products.

Q45The synthesis of ammonia, N2(g) + 3H2(g) → 2NH3(g), is exothermic (ΔH < 0). Which change will DECREASE the equilibrium yield of NH3?

(A) Increasing the total pressure
(B) Adding more H2 to the mixture
(C) Raising the temperature
(D) Removing NH3 as it forms
Show Answer

Correct: (C)

Raising the temperature shifts an exothermic equilibrium toward reactants, lowering the NH3 yield; the other changes all favor products.

Q46The solubility product for AgCl(s) → Ag+(aq) + Cl−(aq) is Ksp = 1.8×10−10 at 25°C. What is the molar solubility of AgCl in pure water?

(A) 9.0×10−11 M
(B) 1.3×10−5 M
(C) 3.6×10−10 M
(D) 1.8×10−10 M
Show Answer

Correct: (B)

Ksp = s², so s = √(1.8×10−10) = 1.3×10−5 M.

Q47Which change to a system at equilibrium will change the value of the equilibrium constant K?

(A) Adding a catalyst
(B) Increasing the pressure on a gaseous system
(C) Adding more reactant
(D) Changing the temperature
Show Answer

Correct: (D)

Only temperature changes K; catalysts, pressure, and concentration changes alter Q (and rates) but not the value of K itself.

🧫 Acids, Bases & Buffers

Q48A 0.0050 M solution of nitric acid (HNO3) at 25°C has what pH?

(A) 1.70
(B) 2.30
(C) 4.70
(D) 11.70
Show Answer

Correct: (B)

Nitric acid is a strong acid, so [H+] = 0.0050 M; pH = −log(5.0 × 10−³) = 2.30.

Q49Pyridine (C5H5N) has Kb = 1.7 × 10−⁵. What is the pH of a 0.10 M pyridine solution at 25°C?

(A) 2.39
(B) 4.89
(C) 5.11
(D) 9.11
Show Answer

Correct: (D)

[OH−] = √(Kb · C) = √(1.7 × 10−¹⁰) = 1.30 × 10−⁵ M; pOH = 4.89, so pH = 14.00 − 4.89 = 9.11.

Q50Which species is the conjugate acid of HPO4²−?

(A) H3PO4
(B) PO4³−
(C) H2PO4−
(D) HPO3²−
Show Answer

Correct: (C)

The conjugate acid has one more proton than the base: HPO4²− + H+ → H2PO4−.

Q51A buffer is prepared from 0.10 M formic acid (HCOOH, Ka = 1.8 × 10−⁴) and 0.25 M sodium formate (HCOO−). What is the pH of the buffer?

(A) 4.14
(B) 3.74
(C) 3.34
(D) 4.54
Show Answer

Correct: (A)

Henderson-Hasselbalch: pH = pKa + log([base]/[acid]) = 3.74 + log(0.25/0.10) = 3.74 + 0.40 = 4.14.

Q5225.0 mL of 0.10 M acetic acid (Ka = 1.8 × 10−⁵) is titrated with 0.10 M NaOH. What is the pH at the equivalence point?

(A) 7.00
(B) 5.28
(C) 8.72
(D) 9.12
Show Answer

Correct: (C)

At equivalence all acid is converted to 0.050 M CH3COO− (Kb = 5.6 × 10−¹⁰); [OH−] = √(Kb · C) = 5.3 × 10−⁶ M, pOH = 5.28, pH = 8.72 (basic, since the anion of a weak acid hydrolyzes).

Q53For oxalic acid (H2C2O4), Ka1 = 5.9 × 10−² and Ka2 = 6.4 × 10−⁵. In a 0.10 M solution at equilibrium, which species has the highest concentration (other than water)?

(A) H2C2O4
(B) HC2O4−
(C) C2O4²−
(D) H3O+
Show Answer

Correct: (B)

Because Ka1 >> Ka2, the first proton is lost to a large extent while the second dissociation is negligible, so the intermediate species HC2O4− dominates.

🔋 Thermodynamics & Electrochemistry

Q54For which reaction is ΔS° of the system most likely to be negative?

(A) N2(g) + 3 H2(g) → 2 NH3(g)
(B) H2O(s) → H2O(l)
(C) CaCO3(s) → CaO(s) + CO2(g)
(D) 2 HgO(s) → 2 Hg(l) + O2(g)
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Correct: (A)

Four moles of gas are converted to two moles of gas, a large decrease in disorder; the other reactions increase disorder.

Q55For CO(g) + 2 H2(g) → CH3OH(g), ΔH° = −91 kJ and ΔS° = −220 J/K. At what temperature does the reaction change from spontaneous to nonspontaneous under standard conditions?

(A) 240 K
(B) 300 K
(C) 590 K
(D) 414 K
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Correct: (D)

ΔG = 0 when T = ΔH/ΔS = (−91,000 J)/( −220 J/K) = 414 K; the reaction is spontaneous below this temperature (both ΔH and ΔS negative).

Q56Magnesium metal is placed in a solution of CuSO4, and the reaction Mg(s) + Cu²⁺ → Mg²⁺ + Cu(s) occurs. Given Mg²⁺ + 2e⁻ → Mg(s), E° = −2.37 V and Cu²⁺ + 2e⁻ → Cu(s), E° = +0.34 V, what is the standard cell potential?

(A) 2.03 V
(B) −2.71 V
(C) 2.71 V
(D) −2.03 V
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Correct: (C)

E°cell = E°cathode − E°anode = (+0.34 V) − (−2.37 V) = 2.71 V.

Q57An aqueous solution of AgNO3 is electrolyzed at a constant current of 2.00 A. How many grams of silver are deposited after 40.0 minutes?

(A) 2.68 g
(B) 5.37 g
(C) 10.7 g
(D) 0.0498 g
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Correct: (B)

Charge = 2.00 A × 2400 s = 4800 C; mol e− = 4800/96,485 = 0.0498; Ag+ requires 1 e− per atom, so mass = 0.0498 × 107.9 g/mol = 5.37 g.

Q58For the cell reaction Zn(s) + Cu²⁺ → Zn²⁺ + Cu(s), E°cell = 1.10 V. What is ΔG° for the reaction?

(A) −212 kJ
(B) −106 kJ
(C) +212 kJ
(D) −106 J
Show Answer

Correct: (A)

ΔG° = −nFE° = −(2)(96,485 C/mol)(1.10 V) = −2.12 × 10⁵ J = −212 kJ.

☢ Nuclear & Descriptive Chemistry

Q59²³8U undergoes alpha decay. What is the product nucleus?

(A) ²³4Pa
(B) ²³8Th
(C) ²³⁴Pa
(D) ²³⁴Th
Show Answer

Correct: (D)

Alpha emission removes 2 protons and 4 nucleons: A = 238 − 4 = 234, Z = 92 − 2 = 90 (thorium), giving ²³⁴Th.

Q60A 16.0 g sample of phosphorus-32 has a half-life of 14.3 days. What mass remains after 57.2 days?

(A) 4.0 g
(B) 1.0 g
(C) 0.50 g
(D) 8.0 g
Show Answer

Correct: (B)

57.2/14.3 = 4 half-lives; 16.0 g → 8.0 g → 4.0 g → 2.0 g → 1.0 g.