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 ${F}_{V,T}$ and ${F}_{p,T}$ of a mixture of real gases, and the chemical potential and fugacity of a gas in a mixture are expressed as integrated functions of $V, T, {n}_{1}, {n}_{2}, \ensuremath{\cdots}$, and the constants of the equation of state of the pure gases composing the mixture. The expression for the thermodynamic potential ${F}_{V,T}$ is a fundamental equation in the Gibbs sense. A mass action law for reactions between real gases is given, the "mass action constant" ${K}_{p}$ being expressed in terms of the variables $V, T, {x}_{1}, {x}_{2}, \ensuremath{\cdots}$, ${\ensuremath{\nu}}_{1}, {\ensuremath{\nu}}_{2}, \ensuremath{\cdots}$, 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.