In this paper, we present a new version of the multicomponent potential theory of adsorption model. The proposed modification makes a clear distinction between adsorbent dependent parameters from adsorbate dependent ones. This leads to a better understanding of the physical significance of the parameters. The interdependence between pure isotherms is eliminated, which means that each component can be individually finely adjusted. This new approach was tested against 14 datasets for a total of 510 experimental mixture adsorption data of CH4\documentclass[12pt]{minimal}
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\begin{document}$$_8$$\end{document} on activated carbons, MOF, and zeolites. A slight improvement of 4.67% on excess adsorption predictions was found, leading to an overall average error of 6.97% for total excess adsorption and 15.30% for combined mixtures and components excess adsorption predictions.
