What is Nernst equation and give its significance ?

M

^{n}

^{+}(aq) + ne

^{-}$\to $ M(s)

the Nernst equation is

$E\left({M}^{n+}\right|M)=E\xb0({M}^{n+}\left|M\right)-\frac{RT}{nF}\mathrm{ln}\frac{\left[M\right(s\left)\right]}{\left[{M}^{n+}\right(aq\left)\right]}$

Where E(M

^{n}

^{+}|M) = electrode potential

E

^{o}(M

^{n}

^{+}|M) = Standard electrode potential

R = Gas constant, T = Temperature, F = Faraday constant

n = Number of electrons gained during electrode reaction

[M

^{n}

^{+}(aq)] = Molar concentration of ions, [M(s)] = concentration of metal

**Significance of Nernst equation:**

1) It can be used for calculation of cell potential

2) It can be used for calculation of concentration of a solution of Half cell.

3) Equilibrium constant can be calculated from this equation.

**
**