6.4 Deduction of clapeyron's Equations from Thermodynamic Potential
Let a certain quantity of liquid and vapour of a substance be enclosed in a cylinder. Let the masses of vapour and liquid be mv and ml respectively and let their specific volumes be vv and vl respectively. Let the internal energy, entropy and thermodynamic potential of the vapour and the liquid per unit mass be represented by Uv, Sv and Gv and UpSl and G l respectively. From the properties of saturated vapours, the quantities U, S and G are functions of temperatures only.
The thermodynamic potential of the whole mass composed of liquid and vapour is
The system composed of vapour and liquid is supposed to remain in the equilibrium state. Let us ...
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