Question

If ' $A$' is the reactant and ' $P$ ' is the product, which one of the following is the correct form of Nernst equation?

• A. $\frac{[A]}{[P]}=\exp \left(\frac{RT}{nF}\left(E-E^{\circ }\right)\right)$
• B. $\frac{[A]}{[P]}=\exp \left(\frac{nF}{RT}\left(E-E^{\circ }\right)\right)$
• C. $\frac{[A]}{[P]}=\exp \left(-\frac{nF}{RT}\left(E-E^{\circ }\right)\right)$
• D. $E=E^{\circ }-\frac{RT}{nF}\ln \frac{[A]}{[P]}$

Answer 1

Answer: (B)

According to Nernst equation :

$E=E^{\circ }-\frac{RT}{nF}\ln \frac{[\text{ Product }]}{[\text{ Reactant }]}$

or, $E=E^{\circ }-\frac{RT}{nF}\ln \frac{[P]}{[A]}$

or, $E-E^{\circ }=-\frac{RT}{nF}\ln \left[\frac{P}{A}\right]$

or, $\left[\frac{A}{P}\right]=e^{\left[\frac{nF}{RT}\left(E-E^{\circ }\right)\right]}$

or $\frac{[A]}{[P]}={\exp }^{\left[\frac{nF}{RT}\left(E-E^{\circ }\right)\right]}$