Explicit equations for the calculation, by successive approximations, of equilibrium gas compositions at high temperatures: the hydrogen+carbon+oxygen and the hydrogen+carbon+oxygen+nitrogen systems without solid carbon formation

Abstract
The difficulties arising in calculations of flame temperatures and thermodynamic functions for gases at high temperatures which involve computation of gas compositions under the effects of several dissociation equilibria are briefly discussed. It is shown that for solution by successive approximations, explicit equations can be derived which express corrections to be applied to the assumed values in terms of these assumed values. Such equations need be derived only once for each set of basic constituents and this is done for two of the most common practical cases-the C+H+O and the C+H+O+N systems without carbon deposition. The use of the equations and the rapid convergence of the method are illustrated.

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