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%.