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Multiple Choice
The Ksp of CuI(s) is 1.1 × 10^-12. Calculate the value of E° for the half-reaction CuI(s) + e^- → Cu(s) + I^-(aq).
A
0.17 V
B
0.54 V
C
0.29 V
D
0.42 V
Verified step by step guidance
1
Understand that the problem involves calculating the standard electrode potential (E°) for the given half-reaction using the solubility product constant (Ksp) of CuI(s).
Recognize that the relationship between the solubility product (Ksp) and the standard electrode potential (E°) can be determined using the Nernst equation and the Gibbs free energy equation. The Nernst equation relates the concentration of ions to the electrode potential.
Use the formula for the Gibbs free energy change: ΔG° = -RT ln(Ksp), where R is the universal gas constant (8.314 J/mol·K), T is the temperature in Kelvin (usually 298 K for standard conditions), and Ksp is the solubility product constant.
Relate the Gibbs free energy change to the standard electrode potential using the equation: ΔG° = -nFE°, where n is the number of moles of electrons transferred in the half-reaction (n = 1 for this reaction), F is Faraday's constant (96485 C/mol), and E° is the standard electrode potential.
Solve for E° using the rearranged equation: E° = (RT ln(Ksp)) / (nF). Substitute the known values (R, T, Ksp, n, and F) into the equation to find the value of E°.