An evaluation of methods for determining the parameters in the BWR equation of state using volumetric and heat capacity data

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Abstract
The use of linear programming was compared with non‐linear least squares techniques for estimating Benedict‐Webb‐Rubin (BWR) equation of state parameters to correlate the volumetric behavior of a fluid. The techniques were extended to estimate the parameters from the volumetric and heat capacity properties of a pure component. In the non‐linear least squares technique a convergence scheme, which is a combination of the Levenberg and Marquardt algorithms, was used. The volumetric behavior of carbon dioxide, methane and their mixtures was best correlated by the parameter sets obtained by the non‐linear least squares technique when volume was chosen as the dependent variable. For the simultaneous correlation of volumetric and heat capacity properties of carbon dioxide the non‐linear least squares technique was found to be superior to the linear programming technique.

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