Before passing to some more practical aspects of thermodynamics, we will complete the catalog of the most useful mathematical expressions. To derive Maxwell’s and other important relations, extensive use will be made of the fact that differentials of state functions are exact differentials. With partial molar properties, an additional class of properties will also be defined, and the variations of the internal energy and entropy with pressure will be related to the temperature, pressure and volume changes through the thermodynamic equations of state.
KeywordsGibbs Free Energy Partial Derivative Internal Energy Thermal Expansion Coefficient Isothermal Compressibility
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