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

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

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Chemical Engineering Thermodynamics
A refrigeration cycle is a reversed heat engine. Which of the following has the maximum value of the co-efficient of performance (COP) for a given refrigeration effect?

Carnot refrigeration cycle
Air refrigeration cycle
Vapor compression cycle using expansion valve
Vapor compression cycle using expansion engine

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