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

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

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Chemical Engineering Thermodynamics
On a P-V diagram of an ideal gas, suppose a reversible adiabatic line intersects a reversible isothermal line at point A. Then at a point A, the slope of the reversible adiabatic line (∂P/∂V)S and the slope of the reversible isothermal line (∂P/∂V)T are related as (where, y = Cp/Cv) )

(∂P/∂V)S = [(∂P/∂V)T]Y
(∂P/∂V)S = (∂P/∂V)T
(∂P/∂V)S = y(∂P/∂V)T
(∂P/∂V)S = 1/y(∂P/∂V)T

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