Comparison of the prediction power of 23 generalized equations of state: Part II — Parametric evaluation

Mathematical-thermodynamic solubility model developed by the application of discrete Volterra functional series theory

“…Only and only by finding the optimal interaction parameters k ij and l ij , the PR-EOS can be able to regenerate the behavior of the mixture with desirable accuracy (often the errors cannot be negligible) [35,36,42]. The authors must declare that choosing the PR-EOS is only due to its wide application in references referred.…”

“…On the other hand, for the use of theoretical models such as cubic equation of state, the knowledge of the solute properties including critical temperature and pressure, acentric factor, molar volumes, and sublimation pressure are required [22,23,25,[33][34][35][36], and in the case of unavailable data in the literature, one should estimate their values using some group contribution methods (GCM) [37,38], that relate these critical properties to chemical structure of materials. The simple form of empirical models is a priority in comparison to the theoretical models.…”

The Patel–Teja and the Peng–Robinson EoSs performance when Soave alpha function is replaced by an exponential function

“…According to the literature [9], the more recognized models of this type are those of Schmidt-Wenzel [10], Harmens-Knapp [11], Patel-Teja [12], Yu-Lu [13] and Twu et al [14]. In a recent study, 23 generalized equations of state were compared and the Patel-Teja equation has been chosen as a member of the equations of state group that provide the better results to correlate and predict the thermodynamic properties of 102 pure substances [15,16]. In general, the cubic equations of state with three parameters have a substance-dependent empirical critical compressibility factor and as consequence they are better than two-parameter EoSs to represent liquid densities [17].…”

A New Quartic Equation of State Based on a General Form and Its Application to Pure Fluids

“…The cubic EOS, truncated after the third term of eq 1, has been designed by Sun. 8 The prediction ability of the cubic EOS to describe the saturated vapor pressure and saturated liquid density of pure substances is satisfying (see the work of Abdollahi-Demneh et al 9 ). Sun's work 8 proves that the new general form is applicable.…”