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Received February 22, 2013
Accepted April 20, 2013
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Least squares estimation of kinetic parameters in batch adsorption of phenol with confidence interval analysis
School of Chemistry and Chemical Engineering, South China University of Technology, Guangzhou 510641, P. R. China
Korean Journal of Chemical Engineering, August 2013, 30(8), 1544-1551(8), 10.1007/s11814-013-0064-1
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Abstract
Adsorption kinetics of phenol on granular coconut shell activated carbon and granular coal based activated carbon was investigated by the model of homogeneous surface diffusion plus external film mass transfer with the stirred batch adsorber. The model was solved numerically by finite element and the parameter estimation was performed with the nonlinear least squares method. Through the confidence interval analysis and evaluation of the error sum of squares, higher precision of the parameter estimates can be obtained by combining more decay curves; the decay curves with the different initial solution concentrations and adsorbent dosages can be well represented with identical film mass transfer coefficient and surface diffusivity, and the effect of surface adsorption coverage on the surface diffusivity is negligible in the adsorption systems. The values of the film mass transfer coefficient and surface diffusivity are in the order of magnitude 10^(-5) and 10^(-12), respectively.
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Lin SH, Juang RS, J. Environ. Manage., 90, 1336 (2009)
Dabrowski A, Podkoscielny P, Hubicki Z, Barczak M, Chemosphere., 58, 1049 (2005)
Cooney DO, Adsorption design for wastewater treatment, 5th Ed., CRC Press LLC, New York (1999)
Do DD, Adsorption analysis: Equilibria and kinetics, 9th Ed., Imperial College Press, London (1998)
Crini G, Badot PM, Prog. Polym. Sci., 33, 399 (2008)
Fil BA, Boncukcuoglu R, Yilmaz AE, Bayar S, Korean J. Chem. Eng., 29(9), 1232 (2012)
Ocampo-Perez R, Leyva-Ramos R, Mendoza-Barron J, Guerrero-Coronado RM, J. Colloid Interface Sci., 364(1), 195 (2011)
Ruthven DM, Principles of adsorption and adsorption processes, Wiley, New York (1984)
Cotoruelo LM, Marques MD, Rodriguez-Mirasol J, Cordero T, Rodriguez JJ, Ind. Eng. Chem. Res., 46(9), 2853 (2007)
Yang XY, Otto SR, Al-Duri B, Chem. Eng. J., 94(3), 199 (2003)
Neretniekst I, Chem. Eng. Sci., 31, 465 (1976)
Suzuki M, Fujii T, AIChE J., 28, 380 (1982)
Seber GAF, Wild CJ, Nonlinear regression, Wiley, Hoboken, NJ (2003)
Fujiki J, Sonetaka N, Ko KP, Furuya E, Chem. Eng. J., 160(2), 683 (2010)
Wakao N, Funazkri T, Chem. Eng. Sci., 33, 1375 (1978)
Hixson W, Baum SJ, Ind. Eng. Chem., 33, 478 (1941)
Abu-Eishah SI, Abu-Jabal NM, Chem. Eng. J., 81(1-3), 231 (2001)
Satoh K, Fan HJ, Hattori H, Tajima K, Furuya E, J. Hazard. Mater., 155(3), 397 (2008)
Streat M, Patrick JW, Camporro Perez, MJ, Water Res., 29, 467 (1995)
Srivastava VC, Swamy MM, Mall ID, Prasad B, Mishra IM, Colloids Surf., A 272, 89 (2006)
Ash R, Barrer RM, Pope CG, Proc. Roy. Soc., 271, 1 (1963)
Yang RT, Fenn JB, Haller GL, AIChE J., 19, 1052 (1973)
Ko DCK, Porter JF, McKay G, Chem. Eng. Sci., 60(20), 5472 (2005)
