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Ch.19 - Electrochemistry
All textbooksTro 4th EditionCh.19 - ElectrochemistryProblem 119
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Chapter 19, Problem 119

The Ksp of CuI is 1.1 * 10^-12. Find Ecell for the cell: Cu(s) | CuI(s) | I^-(aq)(1.0 M) || Cu^+(aq)(1.0 M) | Cu(s)

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1
Identify the half-reactions involved in the cell. The dissolution of CuI involves the equilibrium: CuI(s) ⇌ Cu⁺(aq) + I⁻(aq).
Write the Nernst equation for the cell: E_{cell} = E^0_{cell} - \frac{RT}{nF} \ln Q, where Q is the reaction quotient.
Determine the standard cell potential, E^0_{cell}, using standard reduction potentials: Cu⁺ + e⁻ → Cu(s) and I⁻ → I₂ + 2e⁻.
Calculate the reaction quotient, Q, using the concentrations given: Q = \frac{[Cu^+]}{[I^-]}.
Substitute the values into the Nernst equation to find E_{cell}, considering the temperature is 298 K and n = 1 for the electron transfer.
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Calculate ∆G°rxn and K for each reaction.

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