Measurement of para-xylene diffusivity in zeolites and analyzing desorption curves using the Mittag-Leffler function

Abstract

Abstract The new fractional calculus modeling based on Mittag-Leffler function has been employed to generate a better fit model to analyze the ZLC desorption curves for para-xylene diffusion in ZSM-5 zeolites. The diffusivity values generated herewith at 100, 125 and 150°C are reported as 4.4×10−13, 4.98 ×10−13 and 5.2 ×10−13 m 2/s, respectively. The activation energy for this diffusion process is found 4.2 kJ/mol and diffusion proportional constant (D 0) is 1.85 × 10−12 m 2/s. The simplified model for ZLC response can be a better way to treat desorption data in ZLC experiments.