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Question

The standard electrode potential of a metal ion (Ag|Ag and metal insoluble salt anion (Ag|AgCl|Cl) are related as:

A
EAg|Ag|=ECl|AgCl|Ag+RTFlnKsp
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B
ECl|AgCl|Ag=EAg|Ag+RTFlnKsp
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C
EAg|Ag=ECl|AgCl|Ag+RTFln[Cl]Ksp
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D
ECl|AgCl|Ag=EAg|Ag+RTFlnKsp[Cl]
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Solution

The correct option is B ECl|AgCl|Ag=EAg|Ag+RTFlnKsp

Cathode : AgCl+eAg+Cl

Anode : AgAg+e


When, Ecell=0Qcell=Ksp


and Ecell=EAg|AgCl|ClEAg|Ag .... (i)


Ecell=EcellRTnFln[Ag][Cl](n=1)


0=EcellRTFlnKsp

Substituting (i) and rearranging we get

EAg|AgCl|Cl=EAg|Ag+RTFlnKsp

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