Approximate modeling, a kinetic model, and a caloric equation of state for chemically reacting gas mixtures at high temperatures

The necessary and sufficient conditions to which the model kinetic equations and the caloric equation of state should be subject for consistency with the second principle of thermodynamics are given. A simple model whose accuracy compares with that of the models with detailed kinetics and a highly accurate description of the constants of equilibrium of the reactions and the internal energies of the components of a mixture is proposed.