From Gibbs-Helmholtz equation we have

DG = – nEF and differentiating DG with respect to temperature at constant pressure yields

The quantity is the temperature coefficient of the cell. Substituting the value of in equation, we get

Also DG = DH – TDS

Hence from equations, we obtain

Equation can be used for calculating the entropy changes for the cell reaction in terms of the temperature coefficient of the cell emf. Equation can also be written as

or

From equation, the enthalpy change for cell reaction can be determined from the measurement of cell emf and the temperature coefficient of the emf.

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