The internal energy U(T,P) and the specific Gibbs free energy G defined by: G = U + PV TS are state functions and therefore their expressions in the differential form, dU and dG, respectively, are differential Exact Sciences. From the differential form of the energy conservation equation for a closed system, containing a compressible fluid, the expression:

dU = TdS - PdV is obtained.

Using one of Maxwell's relations, the change in internal energy with respect to pressure, keeping the temperature constant, is determined by the expression:

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(8%), au T P b P -() - ), . (ar) - ), - -(GE) - Par), a. (GE),+PC), - -(), - ), . d- av \ OT P