Other state variables useful for characterizing different classes of processes can be defined from Eint, S, P, and V. These include the enthalpy, H = Eint + pV, the Helmholtz free energy, A = Elnt − TS, and the Gibbs free energy, G = Eint + pV − TS.
a) Write the differential equations for dH, dA, and dG.
b) All of these are also exact differentials. What relationships follow from this fact?
Use the First Law to simplify.
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