The Entropy and Thermodynamic Potentials of Real Gases and Mixtures of Real Gases and a Mass Action Law for Chemical Reaction Between Real Gases: II. Integrated Equations

The general thermodynamic equations derived in the first paper are integrated by means of a new equation of state for gas mixtures. Thus the energy, heat content, entropy and thermodynamic potentials FV,T and Fp,T of a mixture of real gases, and the chemical potential and fugacity of a gas in a mixture are expressed as integrated functions of V, T, n₁, n₂, ⋯, and the constants of the equation of state of the pure gases composing the mixture. The expression for the thermodynamic potential FV,T is a fundamental equation in the Gibbs sense. A mass action law for reactions between real gases is given, the "mass action constant" Kₚ being expressed in terms of the variables V, T, x₁, x₂, ⋯, ν₁, ν₂, ⋯, and the equation of state constants of the pure gases composing the equilibrium mixture. The determination of the values of the various integration constants are discussed for the following cases: (a) non-isothermal and (b) isothermal variations in the state of a system composed of gases which react chemically, (c) non-isothermal and (d) isothermal variations in the state of a system composed of nonreacting gases.