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Number of results
2014 | 35 | 3 | 277-291

Article title

Adsorption in Perfect Mixing Tank – Comparison of Exact and Approximate Kinetic Models

Content

Title variants

Languages of publication

EN

Abstracts

EN
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.

Publisher

Year

Volume

35

Issue

3

Pages

277-291

Physical description

Dates

published
1 - 9 - 2014
received
11 - 12 - 2013
online
17 - 10 - 2014
revised
26 - 3 - 2014
accepted
7 - 5 - 2014

Contributors

  • Cracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, Poland
  • Cracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, Poland
author
  • Cracow University of Technology, Faculty of Chemical Engineering and Technology, ul. Warszawska 24, 31-155 Kraków, Poland

References

  • Chern J.-M., Chien Y.-W., 2002. Adsorption of nitrophenol onto activated carbon: Isotherms and breakthrough curves. Water Research, 36, 647-655. DOI: 10.1016/S0043-1354(01)00258-5. [Crossref]
  • Crank J., 1956. The Mathematics of Diffusion. Oxford, Clarendon Press, 53-54, 70-71, 88-89.
  • Do D.D., 1998. Adsorption Analysis: Equilibria and Kinetics. Imperial College Press, 804-805.
  • Glueckauf E., 1955. Theory of chromatography. Part 10 − Formula for diffusion into spheres and their application to chromatography. Trans. Faraday Soc., 51, 1540-1551.
  • Haerifar M., Azizian S., 2013. Mixed surface reaction and diffusion-controlled kinetic model for adsorption at the solid/solution interface. J. Phys. Chem. C, 117, 8310-8317. DOI: 10.1021/jp401571m.[Crossref]
  • Kupiec K., Gwadera M., 2013. Approximation for unsteady state diffusion and adsorption with mass transfer resistance in both phases. Chem. Eng. Process., 65, 76-82. DOI: 10.1016/j.cep.2012.12.003.[Crossref][WoS]
  • Lee J., Kim D.H., 2011. Simple high-order approximations for unsteady-state diffusion, adsorption and reaction in a catalyst: A unified method by a continued fraction for slab, cylinder and sphere geometries. Chem. Eng. J., 173, 644-650. DOI: 10.1016/j.cej.2011.08.029.[WoS][Crossref]
  • Petrus R., Aksielrud G.A., Gumnicki J.M., Piątkowski W., 1998. Wymiana masy w układzie ciało stałe-ciecz. OWPR Rzeszów, 273.
  • Płaziński W., Dziuba J., Rudziński W., 2013. Modeling of sorption kinetics: the pseudo-second order equation and the sorbate intraparticle diffusivity. Adsorption, 19, 1055-1064. DOI: 10.1007/s10450-013-9529-0.[Crossref]
  • Suzuki M., 1990. Adsorption Engineering. Elsevier, 106.

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_cpe-2014-0021
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