Two half-cells are available to a technician: 1

CHEMISTRY · Multi-part · A Level · Chemistry · Electrode potentials · Electrode potentials

Problem

Two half-cells are available to a technician: 1. A silver electrode in 1.0 M Ag+(aq)1.0\,\text{M}\,Ag^+(aq) 2. A nickel electrode in 1.0 M Ni2+(aq)1.0\,\text{M}\,Ni^{2+}(aq) Selected standard reduction potentials (25 ∘C^{\circ}\text{C}): Ag+(aq)+e−→Ag(s)Ag^+(aq) + e^- \rightarrow Ag(s) E∘=+0.80 VE^\circ = +0.80\,\text{V} Ni2+(aq)+2 e−→Ni(s)Ni^{2+}(aq) + 2\,e^- \rightarrow Ni(s) E∘=−0.25 VE^\circ = -0.25\,\text{V} Faraday constant: F=9.65×104 C mol−1F = 9.65 \times 10^4\,\text{C mol}^{-1} (a) Write the balanced overall reaction that occurs when the two half-cells are connected to operate spontaneously as a galvanic cell. (b) Calculate the standard cell potential, Ecell∘E^\circ_{\text{cell}}, for the galvanic cell. (c) Determine the value of ΔG∘\Delta G^\circ (in kJ mol−1^{-1} of reaction as written in part (a)) for the spontaneous process. (d) The technician now wishes to plate exactly 2.50 g2.50\,\text{g} of silver metal onto the silver electrode by running the cell in electrolytic mode at 70 %70\,\% electrical efficiency. Calculate the minimum charge that must pass through the circuit and the minimum external potential that must be applied under these conditions.

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