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
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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