A New Adsorption Rate Equation in Batch Systems

Abstract

In this paper, the deficiencies and cause of previous adsorption kinetic models were revealed, ne w adsorption rate equation has been proposed and its validities were verified by kinetic analysis of various experimental data. This work is a new vie w on the adsorption kinetics rather than a comment on the previous adsorption papers.Many adsorption kinetic models had been proposed and used during about 120 years. The frequently used and recently established 28 models 1-31 were listed in Table S1. The development of adsorption kinetic model has been conducted to obtain the specific models that agree better with the experimental data, as the result, dozens of kinetic models were established. The most of them were based on the Lagergren model 1 (in 1898) and Langmuir kinetic model 24 (in 1918), there were no innovative development. The Deficiencies and Cause of Previous Adsorption Kinetic ModelsCan those be used for the calculation of activation e nergy? One of the important objectives of kinetic study is to evaluate activation energy. Activation energy is the energy which must be available to a chemical system with potential reactants to result in a reaction. Activation energy is obtained by Arrhenius equation and the rate constants of different temperature.Activation energy can't be evaluated by the many of previous adsorption kinetic models, such as the pseudo-order models [1][2][3][4][12][13][14][15] and its changed types [5][6][7][8][20][21][22][23] . These models involve the adsorption amount q e (No. 1-9 and No. 13-21 in Table S1). When Arrhenius equation is used to calculate activation energy, the rate constants must be a constant at given temperature. However, not only the