Redox Reactions And Electrochemistry Question 769

Question: For a cell reaction involving a two-electron change, the standard emf of the cell is found to be 0.295 V at $ 25^{o}C $ . The equilibrium constant of the reaction at $ 25^{o}C $ will be [Roorkee 1999; AIEEE 2003; CBSE PMT 2004]

Options:

A) $ 1\times {10^{-10}} $

B) $ 29.5\times {10^{-2}} $

C) 10

D) $ 1\times 10^{10} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta G=-nFE^{o} $ $ \Delta G=-2.303RT,\log ,K $ ;

$ nFE^{o}=2.303RT,\log ,K $

$ \log K=\frac{nFE^{o}}{2.303RT}=\frac{2\times 96500\times 0.295}{2.303\times 8.314\times 298} $

$ \log K=9.97=K=1\times 10^{10} $ .



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