IB Chemistry Quiz: Understand Proton Transfer Reactions
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Understand Proton Transfer ReactionsQuestion 1 of 20

In the reversible reaction: H₂S(aq) + CN⁻(aq) ⇌ HS⁻(aq) + HCN(aq), which two species are acting as Brønsted-Lowry bases?

H₂S and HCN
CN⁻ and HS⁻
H₂S and HS⁻
CN⁻ and HCN
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IB Chemistry Quiz

IB Chemistry Quiz: Understand Proton Transfer Reactions

Practice Understand Proton Transfer Reactions in IB Chemistry with focused quiz questions that help you check what you know, review explanations, and build confidence with test-style prompts.

What this quiz covers

This quiz focuses on Understand Proton Transfer Reactions, giving you a quick way to practice the rules, question types, and explanations that matter most for IB Chemistry.

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Question 1

In the reversible reaction: H₂S(aq) + CN⁻(aq) ⇌ HS⁻(aq) + HCN(aq), which two species are acting as Brønsted-Lowry bases?

  1. H₂S and HCN
  2. CN⁻ and HS⁻ (correct answer)
  3. H₂S and HS⁻
  4. CN⁻ and HCN
Explanation: A Brønsted-Lowry base is a proton acceptor. In the forward reaction, H₂S donates a proton and CN⁻ accepts it, so CN⁻ is the base. In the reverse reaction, HCN donates a proton and HS⁻ accepts it, so HS⁻ is the base. Therefore, the two species acting as bases are CN⁻ and HS⁻.

Question 2

Which of the following species is amphiprotic?

  1. H₃O⁺
  2. HSO₄⁻ (correct answer)
  3. SO₄²⁻
  4. CH₃COOH
Explanation: An amphiprotic species can both donate and accept a proton (H⁺). The hydrogen sulfate ion, HSO₄⁻, can donate a proton to form SO₄²⁻ (acting as an acid) and can accept a proton to form H₂SO₄ (acting as a base). H₃O⁺ can only act as an acid. SO₄²⁻ can only act as a base. CH₃COOH is a weak acid and does not typically accept a proton in aqueous solution.

Question 3

In the titration of 20.0 cm³ of a monoprotic strong acid with a 0.100 mol dm⁻³ solution of NaOH(aq), the equivalence point is reached after adding 25.0 cm³ of the NaOH solution. What was the initial pH of the acid solution?

  1. 0.90 (correct answer)
  2. 1.00
  3. 1.10
  4. 1.25
Explanation: First, find the moles of NaOH used to reach the equivalence point: n(NaOH) = C × V = 0.100 mol dm⁻³ × 0.0250 dm³ = 0.00250 mol. Since the acid is monoprotic, the mole ratio of acid to base is 1:1, so n(acid) = 0.00250 mol. Next, find the initial concentration of the acid: [Acid] = n / V = 0.00250 mol / 0.0200 dm³ = 0.125 mol dm⁻³. Since it is a strong acid, [H⁺] = [Acid] = 0.125 mol dm⁻³. Finally, calculate the initial pH: pH = -log₁₀(0.125) ≈ 0.90.

Question 4

The reaction between ammonia and water is represented by the equilibrium: NH₃(aq) + H₂O(l) ⇌ NH₄⁺(aq) + OH⁻(aq). Which statement explains why ammonia is considered a Brønsted-Lowry base in this reaction?

  1. It increases the concentration of hydroxide ions.
  2. It is a molecule containing hydrogen atoms.
  3. It accepts a proton from a water molecule. (correct answer)
  4. It donates a lone pair of electrons to a proton.
Explanation: The Brønsted-Lowry theory defines a base as a proton (H⁺) acceptor. In the forward reaction, the NH₃ molecule becomes the NH₄⁺ ion by gaining a proton from the H₂O molecule. Therefore, ammonia acts as a Brønsted-Lowry base because it accepts a proton. Answer A describes the Arrhenius definition of a base. Answer D describes a Lewis base, which is a broader definition not required here.

Question 5

A student analyzes the equilibrium NH4+(aq)+H2O(l)NH3(aq)+H3O+(aq)\text{NH}_4^+ (aq) + \text{H}_2\text{O} (l) \rightleftharpoons \text{NH}_3 (aq) + \text{H}_3\text{O}^+ (aq) and observes that adding solid sodium acetate shifts the equilibrium to the left. Which statement best explains this observation in terms of proton transfer mechanisms?

  1. Acetate ions compete with water molecules for protons from NH4+\text{NH}_4^+, reducing the forward reaction rate and shifting equilibrium leftward.
  2. Acetate ions accept protons from H3O+\text{H}_3\text{O}^+ ions, decreasing their concentration and shifting equilibrium leftward by Le Chatelier's principle. (correct answer)
  3. Acetate ions donate protons to NH3\text{NH}_3 molecules, converting them back to NH4+\text{NH}_4^+ and directly driving the reverse reaction.
  4. Acetate ions form ion pairs with NH4+\text{NH}_4^+ ions, preventing them from participating in proton transfer and reducing system reactivity.
Explanation: Adding acetate ions introduces a strong base that accepts protons from H₃O⁺ ions: CH₃COO⁻ + H₃O⁺ → CH₃COOH + H₂O. This removes H₃O⁺ (product) from the equilibrium, so by Le Chatelier's principle, the equilibrium shifts left to oppose this change. (A) is incorrect because acetate doesn't compete with water for NH₄⁺ protons - water is not accepting protons in this equilibrium. (C) is wrong because acetate is a base, not an acid, so it doesn't donate protons to NH₃. (D) is incorrect because ion pairing doesn't explain the equilibrium shift mechanism.

Question 6

A researcher studies the proton transfer reaction HA+BA+BH+\text{HA} + \text{B} \rightleftharpoons \text{A}^- + \text{BH}^+ and finds that when [HA] = [B] = 0.10 M initially, the equilibrium concentrations are [A\text{A}^-] = [BH+\text{BH}^+] = 0.040 M. If the researcher then prepares a new solution with [HA] = 0.20 M and [B] = 0.050 M, what will be the equilibrium concentration of BH+\text{BH}^+?

  1. 0.020 M, because the lower concentration of B limits the extent of proton transfer proportionally to the initial concentration ratio.
  2. 0.035 M, because the equilibrium constant remains constant but the stoichiometry requires adjustment for the different initial concentrations. (correct answer)
  3. 0.040 M, because the equilibrium constant ensures the same product concentrations regardless of different starting concentrations of reactants.
  4. 0.057 M, because the higher HA concentration drives more complete proton transfer despite the lower B concentration limiting the reaction.
Explanation: First, calculate K from the initial experiment: K = [A⁻][BH⁺]/[HA][B] = (0.040)(0.040)/[(0.10-0.040)(0.10-0.040)] = 0.0016/0.0036 = 0.444. For the new solution, let x = [BH⁺] at equilibrium. Then [A⁻] = x, [HA] = 0.20-x, [B] = 0.050-x. Setting up: 0.444 = x²/[(0.20-x)(0.050-x)]. Solving this quadratic gives x ≈ 0.035 M. (A) incorrectly assumes simple proportionality. (C) wrongly assumes product concentrations are independent of initial reactant concentrations. (D) overestimates by not properly accounting for the limiting effect of the lower B concentration.

Question 7

Consider the amphiprotic species HPO42\text{HPO}_4^{2-} in aqueous solution. When analyzing its behavior in a buffer system, which statement most accurately describes the conditions under which HPO42\text{HPO}_4^{2-} will predominantly act as a proton donor rather than a proton acceptor?

  1. When the solution pH is significantly above the pKapK_a of the HPO42/PO43\text{HPO}_4^{2-}/\text{PO}_4^{3-} conjugate acid-base pair, favoring deprotonation reactions. (correct answer)
  2. When the solution pH is significantly below the pKapK_a of the H2PO4/HPO42\text{H}_2\text{PO}_4^-/\text{HPO}_4^{2-} conjugate acid-base pair, favoring the protonated form.
  3. When strong acids are added to the solution, providing excess H3O+\text{H}_3\text{O}^+ ions that shift equilibrium toward proton donation by HPO42\text{HPO}_4^{2-}.
  4. When the concentration of HPO42\text{HPO}_4^{2-} exceeds the concentrations of both H2PO4\text{H}_2\text{PO}_4^- and PO43\text{PO}_4^{3-} in the solution.
Explanation: When you encounter amphiprotic species like HPO42\text{HPO}_4^{2-}, remember that these molecules can both donate and accept protons. The key to predicting their behavior lies in understanding how solution pH relates to relevant pKapK_a values and applying Le Châtelier's principle. For HPO42\text{HPO}_4^{2-} to act as a proton donor, it must give up a proton: HPO42+H2OPO43+H3O+\text{HPO}_4^{2-} + \text{H}_2\text{O} \rightleftharpoons \text{PO}_4^{3-} + \text{H}_3\text{O}^+. This deprotonation is favored when the solution pH is significantly above the pKapK_a of the HPO42/PO43\text{HPO}_4^{2-}/\text{PO}_4^{3-} pair. Under basic conditions, the equilibrium shifts right to produce more hydronium ions, making HPO42\text{HPO}_4^{2-} predominantly act as an acid. Answer A correctly identifies this relationship. Answer B is backwards—when pH is below the pKapK_a of H2PO4/HPO42\text{H}_2\text{PO}_4^-/\text{HPO}_4^{2-}, the protonated form (H2PO4\text{H}_2\text{PO}_4^-) is favored, meaning HPO42\text{HPO}_4^{2-} would act as a proton acceptor, not donor. Answer C contradicts chemical logic. Adding strong acids increases H3O+\text{H}_3\text{O}^+ concentration, which would drive HPO42\text{HPO}_4^{2-} to accept protons (act as a base), not donate them. Answer D focuses on concentration ratios rather than the pH-pKapK_a relationship that actually determines acid-base behavior. Study tip: For amphiprotic species, always compare solution pH to the relevant pKapK_a. When pH > pKapK_a, the species acts as a proton donor; when pH < pKapK_a, it acts as a proton acceptor.

Question 8

A buffer solution contains HClO\text{HClO} and ClO\text{ClO}^- with a pH of 7.8. When a small amount of strong base is added, the primary proton transfer reaction that maintains the buffer capacity is HClO+OHClO+H2O\text{HClO} + \text{OH}^- \rightarrow \text{ClO}^- + \text{H}_2\text{O}. However, a secondary reaction H2O+ClOHClO+OH\text{H}_2\text{O} + \text{ClO}^- \rightarrow \text{HClO} + \text{OH}^- also occurs simultaneously. Which factor most significantly determines the relative rates of these competing proton transfer processes?

  1. The initial concentration ratio of HClO\text{HClO} to ClO\text{ClO}^-, since this determines the availability of reactants for each competing pathway.
  2. The pH relative to the pKapK_a of HClO\text{HClO}, since this determines which species predominates and controls the reaction kinetics accordingly.
  3. The equilibrium constants for both reactions, since the more thermodynamically favorable reaction will have the faster rate under buffer conditions.
  4. The difference in activation energies between the forward neutralization reaction and the reverse hydrolysis reaction of the conjugate base. (correct answer)
Explanation: When analyzing competing reactions in buffer systems, you need to distinguish between thermodynamic favorability (which reaction is more favorable at equilibrium) and kinetic factors (which reaction proceeds faster). This question tests your understanding of what controls reaction rates when multiple pathways are possible. The correct answer is D because reaction rates are fundamentally determined by activation energies, not equilibrium positions. The neutralization reaction HClO+OHClO+H2O\text{HClO} + \text{OH}^- \rightarrow \text{ClO}^- + \text{H}_2\text{O} involves a direct proton transfer with typically low activation energy. The competing hydrolysis reaction H2O+ClOHClO+OH\text{H}_2\text{O} + \text{ClO}^- \rightarrow \text{HClO} + \text{OH}^- requires breaking the strong O-H bond in water, which has a significantly higher activation energy. This difference in activation barriers determines which reaction dominates kinetically. Option A incorrectly focuses on concentration ratios. While concentrations affect reaction rates through the rate law, they don't determine the relative rates of competing mechanisms. Option B confuses equilibrium composition with reaction kinetics - pH tells you what species are present, not which reactions are faster. Option C represents a common misconception that thermodynamically favorable reactions are automatically faster. Equilibrium constants indicate final positions, not reaction rates. Remember that kinetics and thermodynamics are separate concepts. When analyzing competing reactions, always consider activation energies for rate determination. Reactions with lower activation barriers will dominate kinetically, regardless of their thermodynamic favorability. This principle applies broadly to mechanism problems in organic and physical chemistry.

Question 9

A student observes that when equal molar amounts of CH3NH2\text{CH}_3\text{NH}_2 (methylamine) and CH3COOH\text{CH}_3\text{COOH} (acetic acid) are mixed in water, the resulting solution has a pH of 7.4. Based on this experimental observation, which conclusion about the relative strengths of these species as a base and acid respectively is most justified?

  1. Methylamine is a stronger base than acetic acid is an acid, since the basic hydrolysis of CH3NH3+\text{CH}_3\text{NH}_3^+ predominates over acidic hydrolysis of CH3COO\text{CH}_3\text{COO}^-. (correct answer)
  2. Acetic acid is a stronger acid than methylamine is a base, since the solution pH is above 7 due to incomplete neutralization leaving excess acid.
  3. The base and acid have equal strengths since they react in a 1:1 molar ratio and produce equal amounts of conjugate species.
  4. Acetic acid is a weaker acid than methylamine is a base, since the acidic hydrolysis of CH3COO\text{CH}_3\text{COO}^- is less significant than basic hydrolysis of CH3NH3+\text{CH}_3\text{NH}_3^+.
Explanation: When equal molar amounts react: CH₃NH₂ + CH₃COOH → CH₃NH₃⁺ + CH₃COO⁻. The resulting solution contains equal concentrations of CH₃NH₃⁺ (conjugate acid) and CH₃COO⁻ (conjugate base). Since pH = 7.4 > 7, the solution is basic, meaning CH₃NH₃⁺ is a weaker acid than CH₃COO⁻ is a base. This occurs when the original base (CH₃NH₂) is stronger than the original acid (CH₃COOH). (B) is incorrect - there's complete neutralization, not excess acid. (C) is wrong because equal reaction stoichiometry doesn't mean equal acid/base strengths. (D) incorrectly describes the hydrolysis - CH₃COO⁻ undergoes basic hydrolysis, not acidic.

Question 10

Consider the equilibrium system: H3PO4+3NH3PO43+3NH4+\text{H}_3\text{PO}_4 + 3\text{NH}_3 \rightleftharpoons \text{PO}_4^{3-} + 3\text{NH}_4^+. A student calculates that this overall reaction has an equilibrium constant of K=2.4×1010K = 2.4 \times 10^{-10}. Based on this information and the principles of proton transfer reactions, which statement about the relative basicity is most accurate?

  1. NH3\text{NH}_3 is a much stronger base than PO43\text{PO}_4^{3-} since the equilibrium lies far to the left, favoring the weaker base remaining protonated.
  2. PO43\text{PO}_4^{3-} is a much stronger base than NH3\text{NH}_3 since the small equilibrium constant indicates the stronger base preferentially retains protons.
  3. PO43\text{PO}_4^{3-} is a much stronger base than NH3\text{NH}_3 since the equilibrium lies far to the left, favoring the stronger base in its protonated form. (correct answer)
  4. The relative base strengths cannot be determined from this equilibrium constant since the reaction involves multiple proton transfers with different stoichiometry.
Explanation: Since K = 2.4 × 10⁻¹⁰ << 1, the equilibrium lies far to the left, meaning H₃PO₄ + 3NH₄⁺ is strongly favored over PO₄³⁻ + 3NH₃. This indicates that PO₄³⁻ is a much stronger base than NH₃ because the stronger base (PO₄³⁻) preferentially exists in its protonated form (H₃PO₄) when in competition with the weaker base (NH₃). The equilibrium favors the weaker base (NH₃) being deprotonated and the stronger base (PO₄³⁻) being protonated. (A) reverses the base strength relationship. (B) incorrectly interprets what 'retaining protons' means. (D) is wrong because equilibrium constants for overall reactions do provide information about relative strengths.

Question 11

A chemist studies the proton transfer kinetics of the reaction HCN+OHCN+H2O\text{HCN} + \text{OH}^- \rightarrow \text{CN}^- + \text{H}_2\text{O} and finds that the reaction rate is limited by the encounter frequency between reactant molecules rather than by the activation energy for proton transfer. What does this observation suggest about the mechanism of this particular proton transfer reaction?

  1. The reaction is thermodynamically unfavorable, requiring multiple collision attempts before successful proton transfer occurs between the reactant species.
  2. The reaction involves a pre-equilibrium formation of hydrogen-bonded complexes that must rearrange before the actual proton transfer step.
  3. The reaction is diffusion-controlled, with essentially every collision between HCN and OH\text{OH}^- resulting in immediate and successful proton transfer. (correct answer)
  4. The reaction requires specific molecular orientations during collision, making the geometric probability factor the primary determinant of reaction rate.
Explanation: When a reaction rate is limited by encounter frequency rather than activation energy, it means the reaction is diffusion-controlled. This occurs when the activation barrier for the chemical step (proton transfer) is so low that essentially every collision between reactants leads to successful reaction. The rate is then determined by how quickly the molecules can diffuse through solution to encounter each other. (A) is incorrect because thermodynamically unfavorable reactions would have high activation barriers, not diffusion-limited kinetics. (B) describes a different mechanism with pre-equilibrium steps. (D) would still involve activation energy considerations for proper orientation, not pure diffusion control.

Question 12

In studying proton transfer reactions, a researcher observes that the reaction HA+H2OH3O++A\text{HA} + \text{H}_2\text{O} \rightleftharpoons \text{H}_3\text{O}^+ + \text{A}^- has a rate constant for the forward reaction that is independent of pH, while the reverse reaction rate constant increases significantly as pH increases. Which molecular-level explanation best accounts for this pH-dependent kinetic behavior?

  1. The forward reaction involves neutral HA molecules whose reactivity is unaffected by solution pH, while the reverse reaction requires collisions between charged species whose concentrations vary with pH.
  2. The forward reaction involves intramolecular proton transfer that is pH-independent, while the reverse reaction involves intermolecular proton transfer that becomes more favorable at higher pH.
  3. The forward reaction rate depends only on [HA] which is buffered and constant, while the reverse reaction rate depends on both [H3O+\text{H}_3\text{O}^+] and [A\text{A}^-] which change with pH.
  4. The forward reaction has a pH-independent activation energy since it involves breaking the same H-A bond regardless of conditions, while the reverse reaction activation energy decreases with increasing pH. (correct answer)
Explanation: When analyzing pH-dependent kinetics in acid-base reactions, focus on how pH affects the energy barriers for forward and reverse processes differently. The key insight is that activation energy can be pH-dependent. For the forward reaction (HA+H2OH3O++A\text{HA} + \text{H}_2\text{O} \rightleftharpoons \text{H}_3\text{O}^+ + \text{A}^-), you're breaking the same H-A bond regardless of solution conditions, so the activation energy remains constant and the rate constant is pH-independent. However, the reverse reaction involves H3O+\text{H}_3\text{O}^+ transferring a proton to A\text{A}^-. At higher pH (lower [H3O+][\text{H}_3\text{O}^+]), the remaining hydronium ions are more reactive and the hydroxide-rich environment facilitates proton abstraction, effectively lowering the activation energy and increasing the rate constant. Answer A incorrectly focuses on concentration effects rather than the intrinsic rate constants. While concentrations do change with pH, the question specifically asks about rate constants, which are temperature-dependent properties independent of concentration. Answer B mischaracterizes the mechanism. Both forward and reverse reactions are intermolecular - the forward involves HA colliding with water molecules, not intramolecular rearrangement. Answer C confuses rate constants with reaction rates. Rate constants are intrinsic properties that don't depend on concentrations, while reaction rates do. The question explicitly states that rate constants (not rates) show this pH dependence. Remember: distinguish between rate constants (intrinsic molecular properties affected by activation energy) and reaction rates (which depend on both rate constants and concentrations). IB Chemistry often tests this distinction.

Question 13

In a solution containing HF\text{HF}, F\text{F}^-, HSO4\text{HSO}_4^-, and SO42\text{SO}_4^{2-}, the following equilibrium is established: HF+SO42F+HSO4\text{HF} + \text{SO}_4^{2-} \rightleftharpoons \text{F}^- + \text{HSO}_4^-. Given that Ka(HF)=6.8×104K_a(\text{HF}) = 6.8 \times 10^{-4} and Ka(HSO4)=1.2×102K_a(\text{HSO}_4^-) = 1.2 \times 10^{-2}, which prediction about this proton transfer equilibrium is most accurate?

  1. The equilibrium lies far to the right because HF is a stronger acid than HSO4\text{HSO}_4^- and will preferentially donate protons to SO42\text{SO}_4^{2-}.
  2. The equilibrium lies significantly to the left because HSO4\text{HSO}_4^- is a stronger acid than HF and the reverse reaction is favored. (correct answer)
  3. The equilibrium lies close to the center because the difference in acid strengths is moderate, resulting in comparable forward and reverse rates.
  4. The equilibrium position cannot be determined from the given data because it depends on the relative concentrations of all four species.
Explanation: The equilibrium constant for this reaction is K = Ka(HF)/Ka(HSO₄⁻) = (6.8 × 10⁻⁴)/(1.2 × 10⁻²) ≈ 0.057. Since K << 1, the equilibrium lies significantly to the left. This makes sense because HSO₄⁻ (Ka = 1.2 × 10⁻²) is a much stronger acid than HF (Ka = 6.8 × 10⁻⁴), so the reverse reaction (HSO₄⁻ donating a proton to F⁻) is strongly favored. (A) incorrectly identifies HF as the stronger acid. (C) is wrong because K = 0.057 indicates the equilibrium is not close to center. (D) is incorrect because the equilibrium position (K value) is determined solely by the relative acid strengths.

Question 14

Which species can act as a Brønsted-Lowry base but NOT as a Brønsted-Lowry acid in aqueous solution?

  1. H₂PO₄⁻
  2. H₂O
  3. NH₄⁺
  4. CO₃²⁻ (correct answer)
Explanation: A Brønsted-Lowry acid is a proton (H⁺) donor, and a Brønsted-Lowry base is a proton acceptor. To act as an acid, a species must have a proton to donate. To act as a base, it must be able to accept a proton. The carbonate ion, CO₃²⁻, can accept a proton to form the hydrogen carbonate ion, HCO₃⁻, so it can act as a base. However, it has no protons to donate, so it cannot act as an acid. H₂PO₄⁻ and H₂O are amphiprotic (can act as both). NH₄⁺ can donate a proton to form NH₃ (acting as an acid) but cannot accept another proton.

Question 15

10.0 cm³ of a solution of nitric acid with pH = 1.0 is mixed with 990.0 cm³ of deionized water. What is the pH of the resulting solution?

  1. 1.0
  2. 2.0
  3. 3.0 (correct answer)
  4. 4.0
Explanation: First, determine the initial hydrogen ion concentration: [H⁺] = 10⁻ᵖᴴ = 10⁻¹∙⁰ = 0.10 mol dm⁻³. Next, calculate the new concentration after dilution. The initial volume is 10.0 cm³ and the final volume is 10.0 + 990.0 = 1000.0 cm³. The dilution factor is V₂/V₁ = 1000.0/10.0 = 100. The new concentration is C₂ = C₁ / 100 = 0.10 / 100 = 0.0010 mol dm⁻³. Finally, calculate the new pH: pH = -log₁₀[H⁺] = -log₁₀(0.0010) = 3.0.

Question 16

100.0 cm³ of 0.100 mol dm⁻³ Ba(OH)₂(aq) is mixed with 100.0 cm³ of 0.100 mol dm⁻³ HCl(aq). What is the pH of the resulting solution at 298 K?

  1. 1.30
  2. 7.00
  3. 12.70 (correct answer)
  4. 13.00
Explanation: The reaction is Ba(OH)₂ + 2HCl → BaCl₂ + 2H₂O. First, calculate the moles of H⁺ and OH⁻. Moles of H⁺ = 0.100 dm³ × 0.100 mol dm⁻³ = 0.0100 mol. Moles of Ba(OH)₂ = 0.100 dm³ × 0.100 mol dm⁻³ = 0.0100 mol, which provides 2 × 0.0100 = 0.0200 mol of OH⁻ ions. The H⁺ is the limiting reactant. Moles of excess OH⁻ = 0.0200 - 0.0100 = 0.0100 mol. The final volume is 100.0 + 100.0 = 200.0 cm³ = 0.2000 dm³. The final [OH⁻] = 0.0100 mol / 0.2000 dm³ = 0.0500 mol dm⁻³. Using Kₗ = 1.0 × 10⁻¹⁴, [H⁺] = Kₗ / [OH⁻] = 1.0 × 10⁻¹⁴ / 0.0500 = 2.0 × 10⁻¹³ mol dm⁻³. The pH = -log(2.0 × 10⁻¹³) = 12.70. Alternatively, pOH = -log(0.0500) = 1.30, and pH = 14.00 - pOH = 12.70.

Question 17

What is the concentration of H⁺(aq) ions, in mol dm⁻³, in a 0.050 mol dm⁻³ solution of potassium hydroxide, KOH(aq), at 298 K? (Kₗ = 1.0 × 10⁻¹⁴ mol² dm⁻⁶)

  1. 2.0 × 10⁻¹³ (correct answer)
  2. 5.0 × 10⁻¹³
  3. 5.0 × 10⁻¹²
  4. 1.0 × 10⁻⁷
Explanation: Potassium hydroxide (KOH) is a strong base, so it dissociates completely in water. Therefore, [OH⁻] = 0.050 mol dm⁻³. The ion product constant for water, Kₗ, is given by Kₗ = [H⁺][OH⁻]. Rearranging for [H⁺] gives [H⁺] = Kₗ / [OH⁻]. Substituting the values: [H⁺] = (1.0 × 10⁻¹⁴ mol² dm⁻⁶) / (0.050 mol dm⁻³) = 2.0 × 10⁻¹³ mol dm⁻³.

Question 18

What are the major species present, other than water, when equimolar amounts of aqueous ethanoic acid (CH₃COOH) and aqueous sodium hydroxide (NaOH) are mixed?

  1. CH₃COOH(aq), Na⁺(aq), and OH⁻(aq)
  2. CH₃COO⁻(aq) and Na⁺(aq) (correct answer)
  3. CH₃COOH(aq), CH₃COO⁻(aq), and Na⁺(aq)
  4. H⁺(aq), OH⁻(aq), Na⁺(aq), and CH₃COO⁻(aq)
Explanation: The neutralization reaction is CH₃COOH(aq) + NaOH(aq) → CH₃COONa(aq) + H₂O(l). When equimolar amounts are mixed, the acid and base are completely consumed, forming the salt sodium ethanoate (CH₃COONa). This salt is soluble and fully dissociates in water into sodium ions (Na⁺) and ethanoate ions (CH₃COO⁻). Therefore, these two ions are the major species present in the solution, apart from water.

Question 19

What is the pH of a solution formed by mixing 10.0 cm³ of 0.100 mol dm⁻³ HCl(aq) with 90.0 cm³ of 0.010 mol dm⁻³ HCl(aq)?

  1. 1.50
  2. 1.72 (correct answer)
  3. 2.00
  4. 2.72
Explanation: First, calculate the moles of H⁺ from each solution. Moles from first solution = 0.100 mol dm⁻³ × 0.0100 dm³ = 0.00100 mol. Moles from second solution = 0.010 mol dm⁻³ × 0.0900 dm³ = 0.00090 mol. The total moles of H⁺ = 0.00100 + 0.00090 = 0.00190 mol. The total volume is 10.0 + 90.0 = 100.0 cm³ = 0.1000 dm³. The final concentration of H⁺ is [H⁺] = total moles / total volume = 0.00190 mol / 0.1000 dm³ = 0.0190 mol dm⁻³. The pH is -log₁₀(0.0190) ≈ 1.72.

Question 20

Hydrochloric acid (HCl) is a strong acid and hydrocyanic acid (HCN) is a very weak acid. Which statement correctly compares the basic properties of their conjugate bases, Cl⁻ and CN⁻?

  1. CN⁻ is a stronger base than Cl⁻. (correct answer)
  2. Cl⁻ is a stronger base than CN⁻.
  3. Both Cl⁻ and CN⁻ are strong bases.
  4. Both Cl⁻ and CN⁻ have negligible basic properties.
Explanation: There is an inverse relationship between the strength of an acid and its conjugate base. The stronger the acid, the weaker its conjugate base. Since HCl is a very strong acid, its conjugate base, Cl⁻, is an extremely weak base with negligible basic properties in water. Since HCN is a very weak acid, its conjugate base, CN⁻, is a relatively stronger (weak) base that will react with water to a measurable extent. Therefore, CN⁻ is a stronger base than Cl⁻.