Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons
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Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons Adam W. Marczewski • Anna Deryło-Marczewska Agata Słota
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Received: 21 November 2012 / Accepted: 21 December 2012 / Published online: 10 January 2013 Ó The Author(s) 2013. This article is published with open access at Springerlink.com
Abstract Adsorption and desorption of benzoic and salicylic acids and phenol from a series of synthesized mesoporous carbons is measured and analyzed. Equilibrium adsorption isotherms are best described by the Langmuir– Freundlich isotherm. Intraparticle diffusion and McKay’s pore diffusion models, as well as mixed 1,2-order (MOE), integrated Langmuir kinetic equation (IKL), Langmuir– Freundlich kinetic equation and recently derived fractallike MOE (f-MOE) and IKL models were compared and used to analyze adsorption kinetic data. New generalization of Langmuir kinetics (gIKL), MOE and f-MOE were used to describe desorption kinetics. Analysis of adsorption and desorption half-times shows simple relation to the size of carbon pores. Keywords Adsorption kinetics Desorption kinetics Langmuir kinetics Generalized integrated Langmuir kinetic equation Mixed order kinetic equation Fractal-like kinetics Intraparticle diffusion model Pore diffusion model Abbreviations BA Benzoic acid FO/PFO First order/pseudo-first order kinetic equation gIKL Generalized integrated kinetic Langmuir equation
Electronic supplementary material The online version of this article (doi:10.1007/s10450-012-9462-7) contains supplementary material, which is available to authorized users. A. W. Marczewski (&) A. Deryło-Marczewska A. Słota Faculty of Chemistry, Maria Curie-Skłodowska University, M. Curie-Skłodowska Sq. 3, 20-031 Lublin, Poland e-mail: [email protected] URL: www:http://guide.adsorption.org
IDM IKL LF MOE mRSK PDM Ph SA SO/PSO SRT
Intraparticle diffusion model by Crank et al. Integrated kinetic Langmuir equation Langmuir–Freundlich isotherm Mixed 1,2-order kinetic equation Modified regular solution kinetic model Pore diffusion model by McKay et al. Phenol Salicylic acid Second order/pseudo-second order kinetic equation Statistical Rate Theory
List of symbols a, aeq, am Adsorbed amount, equilibrium adsorbed amount, monolayer/maximum adsorption B, Bi Parameter, Biot number (PDM model) c, ceq, co, cini Concentration, equilibrium and initial concentration D, Da Diffusion coefficient, effective diffusion coefficient Dp Pore diffusion coefficient (PDM model) D h, D a, D d Pore sizes: hydraulic, from adsorption and from desorption data F Relative adsorption/desorption progress f1 Contribution of 1st order kinetics to MOE and Langmuir kinetics f2, feq, fL Contribution of 2nd order kinetics to MOE and generalized Langmuir kinetics k a, k d Rate coefficient for adsorption and desorption k 1, k 2 1st and 2nd order rate coefficients K, KH Adsorption equilibrium constant, Henry constant Kf External mass transfer coefficient (PDM model)
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m n p
p, ps R2, 1 - R 2 SD(a), SD(c) SBET, Sext t t05, t1/2
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