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Queiroz V, de Almeida DS, de Oliveira Miglioranza GH, Steffani E, Barbosa-Coutinho E, Schwaab M. Analysis of commonly used batch adsorption kinetic models derived from mass transfer-based modelling. ENVIRONMENTAL SCIENCE AND POLLUTION RESEARCH INTERNATIONAL 2022; 29:79875-79889. [PMID: 35015231 DOI: 10.1007/s11356-021-18479-y] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/14/2021] [Accepted: 12/29/2021] [Indexed: 06/14/2023]
Abstract
Modelling of liquid-solid batch adsorption based on mass transfer and conservation equations results in differential equations that may have or not an analytical solution. Even when analytical solutions are available, several simplified models can be considered for evaluating kinetic data of batch adsorption experiments. However, these simplified models are commonly used regardless of the premises considered in its development, and the analysis of the kinetic experiments based on these simplified models may be severely compromised. For this reason, this work presents a detailed development of the phenomenological models, and the hypotheses considered in its development are clearly stated. Typical simplified models derived from the phenomenological ones are obtained, and the conditions considered in the simplification are critically assessed. It was observed that the simplified models fail mainly for considering the concentration of the bulk phase constant over time or considering a linear adsorption isotherm. It must be emphasised that even when phenomenological models must be solved through numerical procedures, its use must be preferred, since the agreement with model premises and experimental conditions are closer, ensuring the quality of the kinetic data analysis.
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Affiliation(s)
- Vânia Queiroz
- Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil
| | - Daniel Souza de Almeida
- Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil
| | - Gabriel Henrique de Oliveira Miglioranza
- Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil
| | - Evandro Steffani
- Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil
| | - Elisa Barbosa-Coutinho
- Departamento de Físico-Química, Instituto de Química, Universidade Federal Do Rio Grande Do Sul, Av. Bento Gonçalves, Porto Alegre, RS, 950091501-970, Brazil
| | - Marcio Schwaab
- Departamento de Engenharia Química, Escola de Engenharia, Universidade Federal Do Rio Grande Do Sul, Rua Ramiro Barcelos, 2777 - Prédio 22202, Porto Alegre, RS, 90035-007, Brazil.
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