Development and validation of a graphical sorption model: application to sorption of organic liquids into low density polyethylene polymeric membrane

Abstract

AbstractIn this work, a model has been developed for the sorption process of pure liquids and liquid mixtures into polymeric membrane. The model is presented in terms of Gauss hypergeometric function and can be simply applied for system of interest using graphical form and step‐by‐step application procedure illustrated. The model includes both sorption and desorption mechanisms in equations, and consequently reaction orders and rate constants can be determined. Collected experimental data of the equilibrium sorption of various liquids including water, linear alcohols, linear alkanes, derivates of cyclohexane, aromates, 1‐chlorohexane, chlorobenzene, benzoyl chloride, and nitrobenzene into the low density polyethylene membrane at three temperatures (288.15, 298.15, and 308.15 K) were used for validation of model calculations and assessment of model reliability. Simply, the introduced apparent reaction order and reaction rate constant can be calculated, based on which one might readily access to the sorption and desorption individual reaction orders. The computational cost of proposed method is small, and much of calculations can be done following procedure provided in the form of graphical diagrams. The reliability of method was successfully examined and revealed potential for further uses. © 2017 Curtin University of Technology and John Wiley & Sons, Ltd.