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From the differential equations for U, H, A, G (a) Derive the Maxwell relations (b) Derive the relationships between derivatives of U, H, A, G, and S, T, V, P

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From the differential equations for U, H, A, G (a) Derive the Maxwell relations (b) Derive the relationships between derivatives of U, H, A, G, and S, T, V, P.
TABLE 22.1 The four principal thermodynamic energies, their differential expressions, and the corresponding Maxwell relations Thermodynamic Differential Corresponding expression Maxwell relations energy ),-- (). ?? dU Td S PdV U _ as V S ?? dH TdS + VdP ? S ? ). ?? dA -SdT PdV ? ? . --() a V G dG = -SdT + VdP ? = |= ?