Chapter 15 - Statistical thermodynamics of nonreactive and reacting mixtures

Abstract

An ideal gas mixture can either be nonreactive or reacting mixture. First, we studied the nonreactive ideal gas mixtures. Constraints were specified and corrected Maxwell–Boltzmann method at constant mass and energy among all species employed to present the equilibrium particle distributions. Partition function has been defined and used to set the required mathematic statements to estimate the thermodynamic quantities of the mixture. Then we pointed out the circumstances that contribute to the chemical energy and statistics of reacting gas mixture. Equilibrium particle distribution was founded, and the results used to introduce and define the equilibrium constant based on the concentration. Equilibrium constant based on pressure has been determined by using the number of particles at a chosen reference pressure. Definition and estimation of equilibrium constant based on pressure and temperature, normalized partition function and pressure, and partition function per unit volume were presented. General expressions were developed for rotational relaxation, dissociation constant of homonuclear, homonuclear-heteronuclear conversion, ionization, and chemical reactions.