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In: Chemistry

Starting with the exact differential for S (entropy, treated as a state function of P, pressure,...

Starting with the exact differential for S (entropy, treated as a state function of P, pressure, and T, temperature), the definition of entropy, S, definition of heat, q, and the definition of enthalpy, H, show that

dS= (Cp/T)dT - alpha*V*dP

where

alpha= (1/V)*(dV/dT) when P is held constant

.Using the Helmholtz free energy, A, given by

A=U - TS

express dS in terms of dT and dV

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