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Linear and Non-Linear Regression Analysis for the Adsorption Kinetics of SO 2 in a Fixed Carbon Bed Reactor—A Case Study

Author

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  • Anna M. Kisiela-Czajka

    (Faculty of Mechanical and Power Engineering, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland)

  • Bartosz Dziejarski

    (Faculty of Environmental Engineering, Wroclaw University of Science and Technology, 50-370 Wroclaw, Poland)

Abstract

Here, we determined the kinetic parameters of SO 2 adsorption on unburned carbons from lignite fly ash and activated carbons based on hard coal dust. The model studies were performed using the linear and non-linear regression method for the following models: pseudo first and second order, intraparticle diffusion, and chemisorption on a heterogeneous surface. The quality of the fitting of a given model to empirical data was assessed based on: R 2 , R, Δq, SSE, ARE, χ 2 , HYBRID, MPSD, EABS, and SNE. It was clearly shown that the linear regression more accurately reflects the behaviour of the adsorption system, which is consistent with the first-order kinetic reaction—for activated carbons (SO 2 + Ar) or chemisorption on a heterogeneous surface—for unburned carbons (SO 2 + Ar and SO 2 + Ar + H 2 O (g) + O 2 ) and activated carbons (SO 2 + Ar + H 2 O (g) + O 2 ). Importantly, usually, each of the approaches (linear/non-linear) indicated a different mechanism of the studied phenomenon. A certain universality of the χ 2 and HYBRID functions has been proved, the minimization of which repeatedly led to the lowest SNE values for the indicated models. Fitting data by any of the non-linear equations based on the R or R 2 functions only cannot be treated as evidence/prerequisite of the existence of a given adsorption mechanism.

Suggested Citation

  • Anna M. Kisiela-Czajka & Bartosz Dziejarski, 2022. "Linear and Non-Linear Regression Analysis for the Adsorption Kinetics of SO 2 in a Fixed Carbon Bed Reactor—A Case Study," Energies, MDPI, vol. 15(2), pages 1-22, January.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:2:p:633-:d:726438
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    References listed on IDEAS

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    1. Musyoka, Nicholas M. & Wdowin, Magdalena & Rambau, Khavharendwe M. & Franus, Wojciech & Panek, Rafał & Madej, Jarosław & Czarna-Juszkiewicz, Dorota, 2020. "Synthesis of activated carbon from high-carbon coal fly ash and its hydrogen storage application," Renewable Energy, Elsevier, vol. 155(C), pages 1264-1271.
    2. Kisiela, Anna M. & Czajka, Krzysztof M. & Moroń, Wojciech & Rybak, Wiesław & Andryjowicz, Czesław, 2016. "Unburned carbon from lignite fly ash as an adsorbent for SO2 removal," Energy, Elsevier, vol. 116(P3), pages 1454-1463.
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