Explain why a mixture of SO₂(g), O₂(g) and SO₃(g) in which Qc > Kc is not at equilibrium, and describe the direction in which the reaction will proceed to reach equilibrium.

IB DP Chemistry Standard Level (2023 syllabus) — R2.3 How far? The extent of chemical change · Explain · 4 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

The industrial production of sulfuric acid involves the reversible reaction: 2SO₂(g) + O₂(g) ⇌ 2SO₃(g). At a given temperature, the equilibrium constant Kc has a fixed value.

Model answer (4 marks)

Qc is the reaction quotient, calculated with the same expression as Kc but using the current concentrations. If Qc > Kc the ratio of product to reactant concentrations is too high for the equilibrium position. Therefore the mixture is not at equilibrium. The reaction will shift in the reverse (backward) direction – to the left – to consume SO₃ and produce SO₂ and O₂. As the reaction proceeds in this direction the concentration of SO₃ decreases and the concentrations of SO₂ and O₂ increase until Qc equals Kc, at which point equilibrium is re‑established.

Examiner tips

  • Define Qc and compare it with Kc; state the condition Qc>Kc clearly.
  • Explain the direction of shift (reverse) and the effect on concentrations.
  • Show that equilibrium is restored when Qc=Kc.
  • Use correct chemical equations and stoichiometry.

Mark scheme (4 marks)

  1. Qc is the reaction quotient, calculated using the same expression as Kc but with the current (non-equilibrium) concentrations.
  2. When Qc > Kc, the ratio of product concentrations to reactant concentrations is too large compared to the equilibrium position.
  3. The reaction proceeds in the reverse/backward direction (to the left) to reach equilibrium.
  4. As the reaction proceeds in reverse, product concentration(s) decrease and reactant concentration(s) increase until Qc equals Kc, at which point equilibrium is re-established.

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