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The cell, Zn | Zn²⁺ (1 M) || Cu²⁺ (1 M) | Cu (E°cell = 1.10 V) was allowed to be completely discharged at 298 K. The relative concentration of Zn²⁺ to Cu²⁺ ([Zn²⁺]/[Cu²⁺]) is

1. 9.65 × 10⁴
2. antilog(24.08)
3. 37.3
4. 10^37.3

Correct answer: 10^37.3

Solution

The correct option, 10^37.3, represents the ratio of the concentrations of Zn²⁺ to Cu²⁺ at equilibrium, derived from the Nernst equation and the standard cell potential. This value indicates a significantly higher concentration of Zn²⁺ compared to Cu²⁺ after the cell is fully discharged, reflecting the stoichiometry of the redox reaction.

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