Chapter 5 - Thermodynamic Properties

Abstract

The relations to describe the Helmholtz and Gibbs energies, enthalpies, entropies, heat capacity, speed of sound, and fugacity coefficients are presented. These relations are then used with equations of state for the calculation of enthalpy and entropy departure functions and fugacity coefficient. For an equation of state with an explicit pressure, the departure function for the Helmholtz energy A, and from this result all other departure functions, can readily be obtained via the thermodynamic relation in the chapter, later the fugacity coefficient is also derived from the same. An overview of equations of state is seen later. Ideal Gas Properties and Development of Statistical Mechanics is studied in the next segment, the cubic equation of state is also mentioned. Under the Multiparameter Equations of State, the following are seen: (a). The Martin–Hou equation of state, (b). Hard sphere equation of state, (c). Nonanalytic equation of state is seen here, and (d) Virial Equation of State is introduced and studied in detail. The crossover equation of state, corresponding states of the crossover equation of state are shown. Generalized cubic equations of state are seen, simultaneously, (e) the corresponding States of the PateI–Teja Equation of State, (f) Departure Functions for Generalized Cubic Equation of State, (g) Hard-sphere equation of state, and the corresponding States of the CS-PT Equation of State, (i) thermodynamic Behavior of the Martin–Hou Equation, and the (j) corresponding States of the Martin–Hou Equation, (k) Equation for liquids are studied in detail. Next, saturated liquid density from corresponding states, comparison with experimental data, corresponding-states thermodynamic properties and calculated deviations, corresponding-states thermodynamic properties, table of values, and finally percentage deviations of the recommended entropy-departure data with values are calculated from the extended corresponding-states theory along the isotherm of the reduced temperature for some representative molecules.