Review on the Intraparticle Diffusion Adsorption Kinetics Model: Interpretation, Solving Methods and Applications

32 Pages Posted: 26 May 2022

See all articles by Jianlong Wang

Jianlong Wang

Tsinghua University

Xuan Guo

Tsinghua University

Abstract

Adsorption is a widely used unit process in various fields, such as chemical, environmental and pharmaceutical etc. The intraparticle diffusion adsorption kinetic model is one of the most widely used adsorption kinetic models. However, how to apply and to solve this model are yet to be discussed. This model has two forms (qt = kt1/2 and qt = kt1/2 + constant, where qt is the adsorption capacity at time t, k and constant are the model parameters), which have not been unified yet. Moreover, the interpretation of this kinetic model lacks a theoretical basis (if the line passes through origin point (0, 0), the adsorption is dominated by the intraparticle diffusion; if not, it is a multiple adsorption process). In this study, we discussed the proper equations of the intraparticle diffusion model and their applications. The interpretation of the mass transfer steps revealed by this model and the solving methods were also studied. The result indicated that the piecewise function qt = kt1/2 (0 ≤ t ≤ t1); qt = k2(t – t1)1/2 + qt=t1 (t1 < t ≤ t2) is the proper form of the intra-particle model. The adsorbate diffusion in the pores inside the adsorbent is the mass transfer step revealed by this model; the statistical parameters should be used to evaluate the fitting results instead of judging whether the model lines pass through origin point (0, 0). We provide the solving methods to use the Origin and Microsoft EXCLE software to solve the nonlinear model. Our study established the standard application method of the intraparticle diffusion model.

Keywords: Adsorption, intraparticle diffusion model, mass transfer step, solving method

Suggested Citation

Wang, Jianlong and Guo, Xuan, Review on the Intraparticle Diffusion Adsorption Kinetics Model: Interpretation, Solving Methods and Applications. Available at SSRN: https://ssrn.com/abstract=4120203 or http://dx.doi.org/10.2139/ssrn.4120203

Jianlong Wang (Contact Author)

Tsinghua University ( email )

Beijing, 100084
China

Xuan Guo

Tsinghua University ( email )

Beijing, 100084
China

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