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Question

Calculate the standard cell potentials of galvanic cell in which the following reactions take place:
(i) 2Cr(s)+3Cd2+(aq)2Cr3+(aq)+3Cd
(ii) Fe2+(aq)+Ag+(aq)Fe3+(aq)+Ag(s)
Calculate the ΔrG and equilibrium constant of the reactions

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Solution

(i) Eocell=E0cathodeE0anode=0.40(0.74)=0.34 V

ΔG0=nFEocell=6×96500×0.34=196860J/mol=196.86kJ/mol

log Kc=nEocell0.059=6×0.340.059=34.576

Kc=3.76×1034

(ii) Eocell=E0cathodeE0anode=0.80(0.77)=0.03 V

ΔG0=nFEocell=1×96500×0.03=2895J/mol=2.895kJ/mol

log Kc=nEocell0.059=1×0.030.059=0.508

Kc=3.22

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