Analytical solution using a pore diffusion model for a pseudoirreversible isotherm for the adsorption of basic dye on silica

An analytical solution for a two resistance mass transfer model explaining the adsorption of Astrazone Blue dye (Basic Blue 69) onto Sorbsil silica has been developed. The model includes a film mass transfer coefficient, k f1 = 80 × 10 −6 cm·s−1, and an internal effective diffusivity, D eff = 18×10 −9 cm 2 ·s −1 which controls the internal mass transport processes based on a pore diffusion mechanism.