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2024 H2 Chem P1 Q28 — Electrochemical cell Solution

Electrochemical cell 2024 A-Level H2 Chemistry · Paper 1 · Q28

Question

Use of the Data Booklet is relevant to this question.
A student noted the relevant standard electrode potentials and correctly deduced that bubbling \(O_2(g)\) through an acidic solution of HBr(aq) should oxidise it to \(Br_2(aq)\).
On bubbling air through an acidic solution of HBr(aq) in a test-tube, the student observed no effect.
What could be reasons for this?

1) The oxygen pressure was smaller than 1.0 atmospheres.
2) The activation energy for the reaction is high.
3) The \(Br^-(aq)\) concentration is much larger than 1.0 \(mol \, dm^{-3}\).
  1. A1, 2 and 3
  2. B1 and 2 only
  3. C2 only
  4. D3 only
Correct answer: B

Video Solution

Explanation

The answer is B (1 and 2 only).
Data Booklet values:
\(\text{O}_2 + 4\text{H}^+ + 4e^- \rightleftharpoons 2\text{H}_2\text{O}\), \(E^\ominus = +1.23\) V
\(\text{Br}_2 + 2e^- \rightleftharpoons 2\text{Br}^-\), \(E^\ominus = +1.07\) V
\(E^\ominus_\text{cell} = +1.23 - (+1.07) = +0.16\) V, so the oxidation of \(\text{Br}^-\) by \(\text{O}_2\) is feasible under standard conditions (1 bar gas, 1 mol \(\text{dm}^{-3}\) solutes, 298 K). The question asks what could stop it being observed.
• Statement 1 is a possible reason: air contains only about 21% oxygen, so the oxygen pressure is well below 1 atm. A lower [\(\text{O}_2\)] shifts the position of equilibrium of \(\text{O}_2 + 4\text{H}^+ + 4e^- \rightleftharpoons 2\text{H}_2\text{O}\) to the left, so \(E(\text{O}_2/\text{H}_2\text{O})\) becomes less positive than +1.23 V and \(E_\text{cell}\) becomes smaller than +0.16 V, making the reaction less feasible.
• Statement 2 is a possible reason: \(E^\ominus\) values show only whether a reaction is energetically feasible, not how fast it goes. With a high activation energy the reaction can be too slow to observe.
• Statement 3 is not a reason: a \([\text{Br}^-]\) much larger than 1 mol \(\text{dm}^{-3}\) shifts the position of equilibrium of \(\text{Br}_2 + 2e^- \rightleftharpoons 2\text{Br}^-\) to the left, making \(E(\text{Br}_2/\text{Br}^-)\) less positive and \(E_\text{cell}\) more positive, so the reaction becomes more feasible, not less.
• A is wrong: it includes statement 3, which would favour the reaction.
• C is wrong: it leaves out statement 1, which is a valid reason.
• D is wrong: statement 3 is not a reason, and statements 1 and 2 are left out.

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