# Nernst Equation

It describes the quantitative relationship between electrode potential and concentrations and temperature of the substance involved in the half cell reaction.

Consider a simple general reaction:

**Nemst** deduced the following mathematical expression for the above reaction:

where, E = *Electrode potential* of the metal, = standard electrode potential, R = gas constant, T = temperature in K, F = Faraday constant , n = number of electrons involved in the half reaction, [M] = activity of metal in the solid phase or liquid phase and is taken as unity for pure metals, = activity of metal ions in the solution and is taken equal to its molarity.

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