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What is the E°cell for the reaction
Cu2+ (aq) + Sn2+ (aq) + Cu(s) + Sn4+ (aq)
at 25°C if the equilibrium constant for the reaction is 1 × 10^6?
- 0.5328 V
- 0.3552 V
- 0.1773 V
- 0.7104 V
Correct answer: 0.5328 V
Solution
The relationship between E°cell and the equilibrium constant (K) is given by the Nernst equation: E°cell = (0.0591/n) log K. Here, n = 2 (number of electrons transferred), and K = 1 × 10^6. Substituting these values, E°cell = (0.0591/2) log(10^6) = 0.5328 V.
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