Given that ΔrG⦵ = −212.7 kJ mol−1 for the reaction Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) in the Daniell cell at 25 °C, and b (CuSO4) = 1.00 × 10−3 mol kg−1 and b (ZnSO4) = 3.00 × 10−3 mol kg−1, calculate (a) the ionic strengths of the solutions, (b) the mean ionic activity coefficients in the compartments, (c) the reaction quotient, (d) the standard cell potential, and (e) the cell potential. (Take γ+ = γ− = γ± in the respective compartments. Use the Debye–Hückel limiting law.)

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter17: Electrochemistry
Section: Chapter Questions
Problem 14P
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Given that ΔrG = −212.7 kJ mol−1 for the reaction Zn(s) + Cu2+(aq) → Zn2+(aq) + Cu(s) in the Daniell cell at 25 °C, and b (CuSO4) = 1.00 × 10−3 mol kg−1 and b (ZnSO4) = 3.00 × 10−3 mol kg−1, calculate (a) the ionic strengths of the solutions, (b) the mean ionic activity coefficients in the compartments, (c) the reaction quotient, (d) the standard cell potential, and (e) the cell potential. (Take γ+ = γ = γ± in the respective compartments. Use the Debye–Hückel limiting law.)

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