Is one performing the treatment data of adsorption kinetics correctly?
By E. Lima, A. Guleria, M. Saeb, I. Anastopoulos, Hai Nguyen Tran, A. Hosseini-Bandegharaei. 2020
293 citations recorded by the source corpus.
Abstract In the literature, the linear form of the pseudo-first-order (PFO) and pseudo-second-order (PSO) models are often applied for fitting the data of adsorption kinetics. many authors applied the linear form of the PSO model and concluded that pseudo-second-order kinetics is better fitted, based on the values of adsorption capacity at the equilibrium (qe) and the high value of the coefficient of determination (R²). The linearized pseudo-first-order model is usually ruled-out because the values of qe and R² are worse than those obtained by the linearized pseudo-second-order. On the other hand, nonlinear fitting of data is highly recommended for being used for equations that are typically not linear such as kinetics data. In this paper, the data of 52 articles (containing 225 experiments of adsorption kinetics) were collected, and the kinetic data were treated using linear and nonlinear PFO and PSO models. Results indicated that the values of k2 (the rate constant of the PSO model) calculated from the nonlinear fitting method were quite different from those acquired from the linear one. However, the values of qe2 (adsorption capacity at the equilibrium of the pseudo-second-order model) are in complete agreement, which induces the user to an erroneous decision. Using a linearized kinetic model, all the 225 values of R² of the pseudo-second-order model were closer to 1.0 than pseudo-first-order. However, when nonlinearized fitting of the data was used, 122 out of 225 cases (54.22%) showed that the nonlinear pseudo-first-order is better fitted than the pseudo-second-order kinetic model.
Subfields: Organic Chemistry, Surfaces, Coatings and Films, Water Science and Technology
View Paper: https://www.semanticscholar.org/paper/b3ac058b64ab96c053c2a438e743f8087cd046b8
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In Water Science and Technology
Citations in the corpus
- A Critical Overview of Adsorption Models Linearization: Methodological and Statistical Inconsistencies (2021, methodology): “Lima et al.[65] revisited kinetic data from more than 50 published articles and concluded that when a linear approach is used, the PSO model would always yield the best fit, while with non-linear regression, roughly half of the studies were described with PSO model.”