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

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

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Chemical Engineering Thermodynamics
Critical solution temperature (or the con-solute temperature) for partially miscible liquids (e.g., phenol-water) is the minimum temperature at which

None of these
Mutual solubility of the two liquids shows a decreasing trend
A homogeneous solution (say of phenol water) is formed
Two liquids are completely separated into two layers

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