Abstract
The best-fit equations of linear and non-linear forms of the two widely used kinetic models, namely pseudo-first-order and pseudo-second-order equations, were compared in this study. The experimental kinetics of methylene blue adsorption on activated carbon was used for this research. Both the correlation coefficient (R 2) and the normalized standard deviation Δq(%) were employed as error analysis methods to determine the best-fitting equations. The results show that the non-linear forms of pseudo-first-order and pseudo-second-order models were more suitable than the linear forms for fitting the experimental data. The experimental kinetics may have been distorted by linearization of the linear kinetic equations, and thus, the non-linear forms of kinetic equations should be primarily used to obtain the adsorption parameters. In addition, the Δq(%) method for error analysis may be better to determine the best-fitting model in this case.
References
Wu F C, Tseng R L, Juang R S. Kinetic modeling of liquid-phase adsorption of reactive dyes and metal ions on chitosan. Water Research, 2001, 35(3): 613–618
Tan I AW, Ahmad A L, Hameed B H. Adsorption of basic dye on high-surface-area activated carbon prepared from coconut husk: Equilibrium, kinetic and thermodynamic studies. Journal of Hazardous Materials, 2008, 154(1–3): 337–346
Lagergren S. About the theory of so-called adsorption of soluble substances. Kungliga Svenska Vetenskapsakademiens Handlingar, 1898, 24: 1–39
Blanchard G, Maunaye M, Martin G. Removal of heavy metals from waters by means of natural zeolites. Water Research, 1984, 18: 1501–1507
Ho Y S. Adsorption of heavy metals from waste streams by peat. Dissertation for the Doctoral Degree. Birmingham: University of Birmingham, 1995
Azizian S. Kinetic models of sorption: A theoretical analysis. Journal of Colloid and Interface Science, 2004, 276: 47–52
Ho Y S. Selection of optimum sorption isotherm. Carbon, 2004, 42(10): 2115–2116
Vasanth K K, Sivanesan S. Comparison of linear and non-linear method in estimating the sorption isotherm parameters for safranin onto activated carbon. Journal of Hazardous Materials, 2005, B123(1–3): 288–292
Tsai S C, Juang K W. Comparison of linear and nonlinear forms of isotherm models for strontium sorption on a sodium bentonite. Journal of Radioanalytical and Nuclear Chemistry, 2000, 243(3): 741–746
Azizian S, Haerifar M, Basiri-Parsa J. Extended geometric method: A simple approach to derive adsorption rate constants of Langmuir-Freundlich kinetics. Chemosphere, 2007, 68: 2040–2046
Ho Y S. Second-order kinetic model for the sorption of cadmium onto tree fern: A comparison of linear and non-linear methods. Water Research, 2006, 40(1): 119–125
Yasmin K, Kalpana M, Shaik B, Bhavanath J. Pseudo-second-order kinetic models for the sorption of Hg(II) onto dead biomass of marine Aspergillus niger: Comparison of linear and non-linear methods. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2008, 328: 40–43
Lin J X, Zhan S L, Fang M H, Qian X Q. The adsorption of dyes from aqueous solution using diatomite. Journal of Porous Materials, 2007, 14(4): 449–455
Lin J X, Zhan S L, Fang M H, Qian X Q, Yang H. Adsorption of basic dye from aqueous solution onto fly ash. Journal of Environmental Management, 2008, 87(1): 193–200
Royer B, Cardoso N F, Lima E C, Vaghetti J C P, Simon N M, Calvete T, Veses R C. Applications of Brazilian-pine fruit shell in natural and carbonized forms as adsorbents to removal of methylene blue from aqueous solutions-Kinetic and equilibrium study. Journal of Hazardous Materials, 2009, 164(2–3): 1213–1222
Vaghetti J C P, Lima E C, Royer B, Cunha B M D, Cardoso N F, Brasil J L, Dias S L P. Pecan nutshell as biosorbent to remove Cu(II), Mn(II) and Pb(II) from aqueous solutions. Journal of Hazardous Materials, 2009, 162, 270–280
Vaghetti J C P, Lima E C, Royer B, Brasil J L, Cunha BMD, Simon N M, Cardoso N F, Noreña C P Z. Application of Brazilian-pine fruit coat as a biosorbent to removal of Cr(VI) from aqueous solution-Kinetics and equilibrium study. Biochemical Engineering Journal, 2008, 42: 67–76
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lin, J., Wang, L. Comparison between linear and non-linear forms of pseudo-first-order and pseudo-second-order adsorption kinetic models for the removal of methylene blue by activated carbon. Front. Environ. Sci. Eng. China 3, 320–324 (2009). https://doi.org/10.1007/s11783-009-0030-7
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11783-009-0030-7