Abstract
In connection with the unresolved, all three components of the problem of low-parametric equations of state retain their relevance: obtaining new ones, improving known ones and choosing optimal equations. New analytical and calculated results obtained in the framework of the model of interacting point centers are presented. A procedure for the choice of equations of state in a one-parameter family has been proposed and tested by calculations of the critical isotherms of argon and perfluorocyclobutane. The comparison for the two substances showed that the equation of state selected by the new method turns out to be better than the “simplest and best” proposed by Martin on the basis of volume translation. The mean absolute deviations, in percent, were for Ar (reduced densities from 0.01 to 1.8): 3.3 (our equation of state), 5.25 (Martin), 7.3 (Redlich-Kwong). For C4F8 (reduced densities from 0.06 to 1.5): 1.33% is our equation, 2.76—Peng-Robinson, 3.92-Martin, 7.46—Redlich-Kwong. There are no adjustable parameters in the point center model.
A method for comparing equations and determining equations-analogues in different families based on new characteristic data, which reflects the ratio of configurational contributions to pressure determined by the forces of attraction and repulsion, is proposed.
The molecular level information confirms the predicted intervals of the values of the new parameter, which is another physical rationale for the model being developed.
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Petrik, G.G. (2019). A Model Approach to Comparing and Selecting the Optimal Equations of State. In: Karev, V., Klimov, D., Pokazeev, K. (eds) Physical and Mathematical Modeling of Earth and Environment Processes (2018). Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-030-11533-3_20
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