Question

The correct representation of Nernst's equation is

• A. $E_{M^{v+}/M}=E_{M^{v+}M}^{\circ }+\frac{n}{0.0591}\log \left(M^{n+}\right)$
• B. $E_{M^{v+}/M}=E_{M^{v+}/M}^{\circ }-\frac{0.0591}{n}\log \left(M^{n+}\right)$
• C. $E_{M^{v+}/M}=E_{M^{v+}/M}^{\circ }+\frac{0.0591}{n}\log \left(M^{n+}\right)$
• D. None of the above

Answer 1

Answer: (C)

$E=E^{\circ }-\frac{RT}{nF}\ln \frac{1}{\left[M^{n+}\right]};$

$\Rightarrow E=E^{\circ }+\frac{RT}{nF}\ln \left[M^{n+}\right]$

$\Rightarrow E=E^{\circ }+\frac{2.303RT}{nF}\log \left[M^{n+}\right]$

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

$E=E^{\circ }+\frac{0.0591}{n}\log \left(M^{n+}\right)$