From Fundamental Equations to Thermodynamic Properties

Abstract

The fundamental equation of thermodynamics of a material contains all the information about the equilibrium states of the material, from which all the thermodynamic properties of the material can be derived. This chapter discusses calculations of all the familiar thermodynamic properties of a system from different representations of the integrated fundamental equations of thermodynamics with the help of their corresponding differential forms. Examples include heat capacity, mechanical compressibility, chemical capacitance, and thermal expansion coefficient through the first derivatives of an equation of state or the second derivatives of thermodynamic energy functions with respect to a certain thermodynamic variable or a certain pair of variables.