Correlating and Predicting the Solubilities of Solid n-Alkanes in Supercritical Ethane Using Carnahan-Starling-van der Waals Model

The solubilities of some solid n-alkanes in supercritical ethane were correlated and predicted in this paper using the Carnahan-Starling-van der Waals model with a density-dependent parameter of a12. At a given temperature, the linear fit of the parameter of a12 and the density of the supercritical solvent was used for solubility correlation, resulting in an average absolute average relative deviation（AARD） of 8.68%, which was between the values of the semiempirical models and the other compressed gas models used in this article. In the linear fit of the parameter of a12 and the density of the solvent, the regressed slope m and intercept n of the linear fit can be correlated with the carbon atom number of solid n-alkanes and then the solubilities of solid n-alkanes in supercritical ethane can be predicted with the intercept n and slope m. The average AARD in solubility prediction was 26.99%.