Chemical Engineering Thermodynamics
The Maxwell relation derived from the differential expression for the Helmholtz free energy (dA) is

(∂V/∂S)P = (∂T/∂P)S
(∂T/∂V)S = -(∂P/∂S)V
(∂S/∂P)T = -(∂V/∂T)P
(∂S/∂V)T = (∂P/∂T)V

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Chemical Engineering Thermodynamics
Steam undergoes isentropic expansion in a turbine from 5000 kPa and 400°C (entropy = 6.65 kJ/kg K) to 150 kPa) (entropy of saturated liquid = 1.4336 kJ/kg . K, entropy of saturated vapour = 7.2234 kJ/kg. K) The exit condition of steam is

Partially condensed vapour with quality of 0.9
Superheated vapour
Saturated vapour
Partially condensed vapour with quality of 0.1

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