Determination of regression coefficient for numerical models of adsorption isotherms

Abstract

Abstract The article considers a method for determining mathematical equations by describing experimental adsorption isotherms. These equations correspond to the main models of adsorption processes that are presented in this work. A method for selecting the regression coefficients of adsorption isotherms by the MathCad software is proposed. A mathematical adsorption equation for a pair of substances “ethyl alcohol - activated carbon” is found. To confirm the applicability of the obtained equation, a mathematical experiment was carried out in the Aspen Adsorption software. The result of the experiment included the values of the saturation time of the adsorbate (activated carbon) with the adsorbent (ethyl alcohol) under various conditions. An estimate of the experimental error relative to the conditions accepted in the calculation showed a satisfactory result.