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Based on the existing expressions for virial series, molecular-dynamics data, and the expected asymptotic behavior, a new improved equation of state for dense rigid-sphere gases is developed. Comparisons with the existing equations and computer simulation data are made. It is shown that the developed equation of state is in excellent agreement with the simulation results. In particular, the equation is well suited for describing the state of dense-sphere gases at extreme high concentration limits as long as the transition to an order state does not occur.
Ma et al. (Sat,) studied this question.