Derive the equivalent of the Clausius-Clapeyron equation (4.7.7) for the slope of the coexistence chemical potential as

Question:

Derive the equivalent of the Clausius-Clapeyron equation (4.7.7) for the slope of the coexistence chemical potential as a function of temperature. Use the fact that the pressures $P(\mu, T)$ in two different phases are equal on the coexistence curve.

Equation (4.7.7)

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