A) \[\frac{RT}{F}In\frac{{{P}_{1}}}{{{P}_{2}}}\]
B) \[\frac{RT}{2F}In\frac{{{P}_{1}}}{{{P}_{2}}}\]
C) \[\frac{RT}{2F}In\frac{{{P}_{2}}}{{{P}_{1}}}\]
D) None
Correct Answer: D
Solution :
\[\frac{RT}{2F}In\frac{{{P}_{1}}}{{{P}_{2}}}\] \[\operatorname{R}.H.S\,\,\,2{{H}^{+}}+2{{e}^{-}}\rightleftharpoons {{H}_{2}}\left( {{P}_{2}} \right)\] \[\operatorname{L}.H.S\,\,{{H}_{2}}\left( {{P}_{1}} \right)\rightleftharpoons 2{{H}^{+}}+2{{e}^{-}}\] \[\operatorname{Overall} reaction {{H}_{2}}\left( {{P}_{1}} \right)\rightleftharpoons {{H}_{2}}\left( {{P}_{2}} \right)\] \[\operatorname{E}={{E}^{o}}-\frac{RT}{nF}\,In\frac{{{P}_{2}}}{{{P}_{1}}}\] \[=O-\frac{RT}{nF}\,In\frac{{{P}_{2}}}{{{P}_{1}}}\] \[=\frac{RT}{nF}\ \,In\,\frac{{{P}_{2}}}{{{P}_{1}}}\]
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