Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models
Periodic adsorption in a perfect mixing tank of a limited volume was considered. It was assumed that the adsorption rate is limited by diffusion resistance in a pellet. The approximate model of diffusion kinetics based on a continued fraction approximation was compared with the exact analytical solu...
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Polish Academy of Sciences Committee of Chemical and Process Engineering
2014-09-01
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| Series: | Chemical and Process Engineering |
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| Online Access: | http://www.degruyter.com/view/j/cpe.2014.35.issue-3/cpe-2014-0021/cpe-2014-0021.xml?format=INT |
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| author | Kupiec Krzysztof Gwadera Monika Larwa Barbara |
| author_facet | Kupiec Krzysztof Gwadera Monika Larwa Barbara |
| author_sort | Kupiec Krzysztof |
| collection | DOAJ |
| description | Periodic adsorption in a perfect mixing tank of a limited volume was considered. It was assumed that the adsorption rate is limited by diffusion resistance in a pellet. The approximate model of diffusion kinetics based on a continued fraction approximation was compared with the exact analytical solution. For the approximate model an algorithm was developed to determine a temporal variation of the adsorbate concentration in the pellet. The comparison was made for different values of the adsorbent load factor. In the numerical tests different shapes of pellets were considered. Both the numerical tests as well as our own experimental results showed that the approximate model provides results that are in good agreement with the exact solution. In the experimental part of this work adsorption of p-nitrophenol and acetic acid from aqueous solutions on cylindrical pellets of activated carbon was conducted. |
| format | Article |
| id | doaj-art-8c9d766eb56b417cb86cb49141a3fba7 |
| institution | OA Journals |
| issn | 2300-1925 |
| language | English |
| publishDate | 2014-09-01 |
| publisher | Polish Academy of Sciences Committee of Chemical and Process Engineering |
| record_format | Article |
| series | Chemical and Process Engineering |
| spelling | doaj-art-8c9d766eb56b417cb86cb49141a3fba72025-08-20T01:58:16ZengPolish Academy of Sciences Committee of Chemical and Process EngineeringChemical and Process Engineering2300-19252014-09-0135327729110.2478/cpe-2014-0021cpe-2014-0021Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic ModelsKupiec Krzysztof0Gwadera Monika1Larwa Barbara2Cracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, PolandCracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, PolandCracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, PolandPeriodic adsorption in a perfect mixing tank of a limited volume was considered. It was assumed that the adsorption rate is limited by diffusion resistance in a pellet. The approximate model of diffusion kinetics based on a continued fraction approximation was compared with the exact analytical solution. For the approximate model an algorithm was developed to determine a temporal variation of the adsorbate concentration in the pellet. The comparison was made for different values of the adsorbent load factor. In the numerical tests different shapes of pellets were considered. Both the numerical tests as well as our own experimental results showed that the approximate model provides results that are in good agreement with the exact solution. In the experimental part of this work adsorption of p-nitrophenol and acetic acid from aqueous solutions on cylindrical pellets of activated carbon was conducted.http://www.degruyter.com/view/j/cpe.2014.35.issue-3/cpe-2014-0021/cpe-2014-0021.xml?format=INTapproximate kinetic equationsadsorption in vessel |
| spellingShingle | Kupiec Krzysztof Gwadera Monika Larwa Barbara Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models Chemical and Process Engineering approximate kinetic equations adsorption in vessel |
| title | Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models |
| title_full | Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models |
| title_fullStr | Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models |
| title_full_unstemmed | Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models |
| title_short | Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models |
| title_sort | adsorption in perfect mixing tank comparison of exact and approximate kinetic models |
| topic | approximate kinetic equations adsorption in vessel |
| url | http://www.degruyter.com/view/j/cpe.2014.35.issue-3/cpe-2014-0021/cpe-2014-0021.xml?format=INT |
| work_keys_str_mv | AT kupieckrzysztof adsorptioninperfectmixingtankcomparisonofexactandapproximatekineticmodels AT gwaderamonika adsorptioninperfectmixingtankcomparisonofexactandapproximatekineticmodels AT larwabarbara adsorptioninperfectmixingtankcomparisonofexactandapproximatekineticmodels |