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5.5.4Physical Chemistry and Transition Elements

Electrode Potential Calculations — OCR A Level Chemistry A H432 Revision Notes & Topical Questions

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Section 1 of 5Calculating E⦵cell

5.5.4 Electrode Potential Calculations

The cell potential is the difference between the two half-cell potentials.

Formula
  • E⦵cell = E⦵(positive electrode) − E⦵(negative electrode), where the positive electrode has the more positive potential.
Positive electrode
  • Reduction occurs here, and electrons arrive from the external circuit.
Negative electrode
  • Oxidation occurs here, and electrons leave into the external circuit.
Cell notation
  • Write the negative half-cell on the left and the positive on the right, with || for the salt bridge: Zn(s) | Zn²⁺(aq) || Cu²⁺(aq) | Cu(s).

Section 2 of 5Predicting Feasibility

A positive E⦵cell shows that a reaction is thermodynamically feasible under standard conditions.

1
Write the two half-equations as reductions with their E⦵ values.
2
Identify the more negative E⦵ value; this half-equation will run backwards as an oxidation.
3
Combine the half-equations after balancing electrons to produce the overall equation.
4
Calculate E⦵cell = E⦵(reduction) − E⦵(oxidation); if it is positive the reaction is feasible.
5
State the result as feasible, but remember that it does not mean the reaction is fast.

Section 3 of 5Limitations of Predictions

Limitations of Predictions
Non-standard conditions
  • Changes in concentration, temperature or pressure alter electrode potentials, so a prediction may fail.
Rate of reaction
  • A reaction with positive E⦵cell may be extremely slow because the activation energy is high.
Small E⦵cell
  • Values near zero are the most affected by changes in concentration, so predictions are the least reliable.
Practical example
  • MnO₄⁻ can oxidise chloride ions (E⦵cell = 1.51 − 1.36 = +0.15 V),
    • which is why hydrochloric acid cannot be used to acidify manganate(VII) titrations.

Section 4 of 5Worked Example

Question Calculate E⦵cell for the Zn/Cu cell, then decide whether Fe³⁺(aq) can oxidise I⁻(aq), given E⦵(I₂/I⁻) = +0.54 V.

  1. Zn/CuE⦵cell = (+0.34) − (−0.76) = +1.10 V.
  2. Fe³⁺ + e⁻ ⇌ Fe²⁺ has E⦵ = +0.77 V; I₂ + 2e⁻ ⇌ 2I⁻ has E⦵ = +0.54 V.
  3. I⁻ is oxidised (the more negative E⦵), so E⦵cell = 0.77 − 0.54 = +0.23 V.
  4. The reaction 2Fe³⁺ + 2I⁻ → 2Fe²⁺ + I₂ is feasible.

Answer

  • E⦵cell (Zn/Cu) = +1.10 V;
    • Fe³⁺ can oxidise I⁻ (E⦵cell = +0.23 V).

Section 5 of 5Exam Checklist & Tips

5.5.4 – Key Points for the Exam

  • E⦵cell The standard cell potential, E⦵(positive) − E⦵(negative).
  • Cell notation A shorthand showing electrodes, species and the salt bridge in a cell.
  • Feasible reaction One with a positive E⦵cell, so thermodynamically possible under standard conditions.
  • Oxidising agent A species that is reduced in a reaction, taking electrons from another species.

Common Mistakes

  • Subtracting the potentials the wrong way round and obtaining a negative E⦵cell for a working cell.
  • Multiplying E⦵ values by the number of electrons when balancing equations.
  • Treating a positive E⦵cell as proof that the reaction occurs quickly.
  • Writing the salt bridge as a single line instead of ||.

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