An extensive critical evaluation of available correlations for predicting critical properties of binary defined hydrocarbon as well as some multicomponent hydrocarbon and hydrocarbon-nonhydrocarbon mixtures is presented using all available literature data. The Li method is recommended for critical temperature prediction based upon its accuracy and simplicity, although the Chueh-Prausnitz method is equivalent in accuracy. The Kreglewski method is most accurate for critical pressure prediction. All methods evaluated yielded high errors for the critical properties of methane-containing mixtures. Current correlations on critical volume are discussed, and correlational work on prediction using an excess volume approach is described.
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CONCLUSIONS AND SIGNIFICANCEAn extensive evaluation of available correlations for the critical properties of defined mixtures has been made. The Li (1971) and the Chueh-Prausnitz (1967b) equations are equivalent in accuracy for calculation of the critical temperature of defined binary and multicomponent systems as well as hydrocarbon-nonhydrocarbon systems. Critical pressure of binary hydrocarbon systems not containing methane is best predicted by the Kreglewski (1969) method using the Li equation to estimate critical temperature. No accurate method currently exists for estimating critical pressure of binary, methane-containing systems.Additional experimental data and correlational work on critical volumes are required before any prediction method can be recommended. An indirect approach to critical pressure determination using an equation of state can be used after an accurate method of predicting critical volume is developed. An approach using excew volume criteria appears to be promising.Many correlations have been developed for predicting true critical properties of mixtures. One of three approaches is generally followed in developing these correlations.The empirical approach involves calculations of the form n G, = 2 X, G C i + G a r r where G, is the critical property desired and G,,,, is a correction term which is often called the excess property of the mixture. Exceys properties are normally estimated from empirical relations.
i = lCorrespondence concerning this paper should be addressed to T. E.
Daubert.The second approach is based on the rigorous thermodynamic conditions for the critical state, that is, the second and third partial derivatives of the molar Gibbs free energy G with respect to composition at constant temperature and pressure must be equal to zero. Determination of T,, V,, and P , for the mixtures involves a simultaneous solution of an extended form of the deriv'itives and an equation of state such as reported by Spear et al. (1971).The third approach is the theory of conformal solutions which states that all thermodynamic properties of a mixture can be evaluated from those of the pure compounds if the components conform to certain simple postulates of statistical mechanics. A conformal solution is one whose pair potential as a function of intermolecular dis...