By using the differential dG = d(U + PV − ST), (G = Gibbs free energy, P = pressure, V = volume, S = entropy and T = temperature of system), and given that the internal energy U satisfies dU = T dS − P dV, derive a Maxwell relation connecting (∂V/∂T)P and (∂S/∂P)T .

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By using the differential dG = d(U + PV − ST),
(G = Gibbs free energy, P = pressure, V = volume, S = entropy
and T = temperature of system), and given that the internal energy U
satisfies dU = T dS − P dV,
derive a Maxwell relation connecting (∂V/∂T)P and (∂S/∂P)T .

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