重新思考颗粒内扩散吸附动力学模型:解释、求解方法及应用。

Rethinking of the intraparticle diffusion adsorption kinetics model: Interpretation, solving methods and applications.

机构信息

Laboratory of Environmental Technology, INET, Tsinghua University, Beijing, 100084, PR China; Beijing Key Laboratory of Radioactive Waste Treatment, Tsinghua University, Beijing, 100084, PR China.

Laboratory of Environmental Technology, INET, Tsinghua University, Beijing, 100084, PR China.

出版信息

Chemosphere. 2022 Dec;309(Pt 2):136732. doi: 10.1016/j.chemosphere.2022.136732. Epub 2022 Oct 9.

Abstract

Adsorption is a widely used unit process in various fields, such as chemical, environmental and pharmaceutical, etc. The intraparticle diffusion adsorption kinetics model is one of the most widely used adsorption kinetics models. However, the application and solving method of this model have yet to be discussed. This model has two forms (q = kt and q = kt + constant, where q 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 kinetics model lacks a theoretical basis (if the line passes through the origin point (0, 0), the adsorption is dominated by the intraparticle diffusion; if not, it is a multiple adsorption process). In this study, we analyzed the proper equations of the intraparticle diffusion model and their applications, discussed the interpretation of the mass transfer steps revealed by this model, and provided the solving methods. The result indicated that the piecewise function q = kt (0 ≤ t ≤ t); q - q = k(t - t) (t < t ≤ t) is the proper form of this 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 the origin point (0, 0). We provide the solving methods to use the Origin and Microsoft EXCEL software to solve the model. Our study established the method for application of the intraparticle diffusion model.

摘要

吸附是化学、环境和制药等各个领域广泛应用的单元操作。颗粒内扩散吸附动力学模型是最广泛使用的吸附动力学模型之一。然而,该模型的应用和求解方法尚未得到讨论。该模型有两种形式(q=kt 和 q=kt+常数,其中 q 是时间 t 时的吸附量,k 和常数是模型参数),尚未统一。此外,该动力学模型的解释缺乏理论依据(如果直线通过原点(0,0),则吸附主要由颗粒内扩散控制;否则,它是一个多吸附过程)。在本研究中,我们分析了颗粒内扩散模型的适当方程及其应用,讨论了该模型揭示的传质步骤的解释,并提供了求解方法。结果表明,分段函数 q=kt(0≤t≤t);q-q=k(t-t)(t<t≤t)是该模型的适当形式。吸附质在吸附剂内部孔隙中的扩散是该模型揭示的传质步骤。应该使用统计参数来评估拟合结果,而不是判断模型线是否通过原点(0,0)。我们提供了使用 Origin 和 Microsoft EXCEL 软件求解模型的方法。我们的研究建立了颗粒内扩散模型应用的方法。

文献AI研究员

20分钟写一篇综述,助力文献阅读效率提升50倍

立即体验

用中文搜PubMed

大模型驱动的PubMed中文搜索引擎

马上搜索