Abstract Ideal gases adhere to the principles of the kinetic theory of gases. To illustrate their non-ideal characteristics, wederive the equation of state for the lattice gas model defined on a cubic lattice through the application of mean fieldtheory. This distinctive equation incorporates a logarithmic term in volume that closely resembles the Saha-Basuequation of state. We investigate the critical points and critical exponents associated with the continuous phasetransition relevant to this equation. Furthermore, we compare the universal aspect of the law of correspondingstates with other non-ideal equations of state. In addition, the equations related to the critical constants, includingBoyle’s temperature, the Joule-Thomson coefficient, inversion temperature, and heat capacity relationships, havebeen derived from the equation of state. We are confident that this research will be beneficial for both undergraduateand postgraduate students specializing in statistical mechanics.
Debnarayan Jana (2025) studied this question.
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