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Q.

The standard cell potential for the electrode reaction H2O+e12H2+OHat 25C is.

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a

0.826V

b

+0.826V

c

0.413V

d

+0.413V

answer is A.

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Detailed Solution

The potential of the given electrode potential is

E=ERTFlnpH2/bar1/2OH/M

Multiplying and dividing the term witain the logarithm by H+/M, we get

E=ERTFlnH+OH/M2pH2/bar1/2H+/M=ERTFlnKwRTFlnpH2/bar1/2H+/MThe electrode in which the given reaction occurs may be considered as H+H2Pt with electrode reaction H++e12H2 for which we have

E=RTFlnpH2/bar1/2H+/M

Equating Eqs (1) and (2), we get

E=RTFlnKw=2.303RTFlogKw=(0.059V)(14)=0.826V

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