Estimation of binary interaction parameters of different equations of state using ethane experimental solubility data in N-methyl-2-pyrrolidone (NMP) solvent

In order to have an economic absorption process design with the lowest energy consumption, it is necessary to measure the solubility of the gas in the desired solvent and evaluate its non-ideality at different operating conditions. Thermodynamic modeling is also used to predict solubility so that it can be used with good confidence in a wide range of temperature and pressure. For this purpose, the solubility of pure ethane gas in N-methyl-2-pyrrolidone (NMP) solvent at different temperatures (278.1, 298.1, and 328.1 K) and different pressures up to 14 bars was investigated using a batch stirred experimental absorption pressure decaying setup. The kinetic and equilibrium data of the absorption including the solubility coefficient, heat of absorption, entropy, and Gibbs free energy changes were calculated at different temperatures. Then, the solubility was predicted after adjusting the binary interaction parameters using ϕ-ϕ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi -\phi$$\end{document} and ϕ-γ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\phi -\gamma$$\end{document} approaches by implementing PR-EOS, Wilson and UNIQUAC activity coefficient models. The absolute mean deviations produced by the models were less than 18.5% for PR-PR, less than 12.3% for PR-Wilson, and less than 12.0% for PR-UNIQUAC, indicating the reliability of these thermodynamic models for the present chemical system.