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The correct representation of Nernst's equation is

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None of the above

$E_{M^{n +} / M} = E_{M^{n +} / M}^{o} + \frac{n}{0 .0591} \log (M^{n +})$

$E_{M^{n +} / M} = E_{M^{n +} / M}^{o} - \frac{0 .0591}{n} \log (M^{n +})$

$E_{M^{n +} / M} = E_{M^{n +} / M}^{o} + \frac{0 .0591}{n} \log (M^{n +})$

answer is C.

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Detailed Solution

$\begin{array}{l} E = E^{o} - \frac{RT}{nF} \ln \frac{1}{[M^{n +}]}; E = E^{o} + \frac{RT}{nF} \ln [M^{n +}] \\ E = E^{o} + \frac{2 .303 RT}{nF} \log [M^{n +}] \end{array}$

Substituting the value of R, T (298K) and F we get

$E = E^{o} + \frac{0 .0591}{n} \log (M^{n +})$

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