Comparison in theory and application of several mathematical models to predict kinetics of single component batch adsorption systems

A few mathematical models, namely the film-pore, film-solid and branched pore diffusion models have been previously developed and applied to predict the rate of adsorption in terms of kinetic data for adsorption systems. The aim of this work is to compare these kinetic models in theoretical development and application to the adsorption of the basic dyes Basic Blue 69, Basic Red 22 and Basic Yellow 21 onto activated carbon Filtrasorb F400. Furthermore, the possibility of production of a combined diffusion model has been considered. Results have shown that for a given set of conditions all models yield congruent curves with good accuracy. However, computational difficulties have resulted in the models having different experimental ranges of application.