Comparison of linearization methods for modeling the Langmuir adsorption isotherm

Freundlich, 1906, Über die Adsorption in Lösungen, Z. Phys. Chem., 57, 385 Langmuir, 1918, Adsorption of gases on glass, mica and platinum, J. Am. Chem. Soc., 40, 1361, 10.1021/ja02242a004 Tempkin, 1940, Kinetics of ammonia synthesis on promoted iron catalyst, Acta Phys. Chim., 12, 27 Redlich, 1959, A useful adsorption isotherm, J. Phys. Chem., 63, 1024, 10.1021/j150576a611 Foo, 2010, Insights into the modeling of adsorption isotherm systems, Chem. Eng. J., 156, 2, 10.1016/j.cej.2009.09.013 Longhinotti, 1998, Adsorption of anionic dyes on the biopolymer chitin, J. Braz. Chem. Soc., 9, 435, 10.1590/S0103-50531998000500005 Kumar, 2005, Comparison of linear and non-linear method in estimating the sorption isotherm parameters for safranin onto activated carbon, J. Hazard Mater., 123, 288, 10.1016/j.jhazmat.2005.03.040 Kumar, 2005, Prediction of optimum sorption isotherm: comparison of linear and non-linear method, J. Hazard Mater., 126, 198, 10.1016/j.jhazmat.2005.06.007 Kumar, 2007, Sorption isotherm for safranin onto rice husk: comparison of linear and non-linear methods, Dyes Pigments, 72, 130, 10.1016/j.dyepig.2005.07.020 Kumar, 2008, Comparison of various error functions in predicting the optimum isotherm by linear and non-linear regression analysis for the sorption of basic red 9 by activated carbon, J. Hazard Mater., 150, 158, 10.1016/j.jhazmat.2007.09.020 Ho, 2006, Isotherms for the sorption of lead onto peat: comparison of linear and non-linear methods, Pol. J. Environ. Stud., 15, 81 El-Khaiary, 2010, On the use of linearized pseudo-second-order kinetic equations for modeling adsorption systems, Desalination, 257, 93, 10.1016/j.desal.2010.02.041 Parimal, 2010, Prediction of equillibrium sorption isotherm: comparison of linear and nonlinear methods, Ind. Eng. Chem. Res., 49, 2882, 10.1021/ie9013343 Narayanana, 2017, Optimization of isotherm models for pesticide sorption on biopolymer-nanoclay composite by error analysis, Chemosphere, 173, 502, 10.1016/j.chemosphere.2017.01.084 Yan, 2015, Determination of adsorption isotherm parameters with correlated errors by measurement error models, Chem. Eng. J., 281, 921, 10.1016/j.cej.2015.07.021 Ofomaja, 2008, Effect of temperatures and pH on methyl violet biosorption by Mansonia wood sawdust, Bioresour. Technol., 99, 5411, 10.1016/j.biortech.2007.11.018 Kannamba, 2010, Removal of Cu (II) from aqueous solutions using chemically modified chitosan, J. Hazard Mater., 175, 939, 10.1016/j.jhazmat.2009.10.098 Dong, 2013, Radiation-induced grafting of sweet sorghum stalk for copper (II) removal from aqueous solution, J. Hazard Mater., 262, 825, 10.1016/j.jhazmat.2013.09.060 Shao, 2014, Application of Mn/MCM-41 as an adsorbent to remove methyl blue from aqueous solution, J. Colloid Interface Sci., 429, 25, 10.1016/j.jcis.2014.05.004 Ghasemi, 2014, Adsorption of Pb (II) from aqueous solution using new adsorbents prepared from agricultural waste: adsorption isotherm and kinetic studies, J. Ind. Eng. Chem., 20, 2193, 10.1016/j.jiec.2013.09.050 Kaur, 2015, Synthesis and adsorption properties of mesoporous material for the removal of dye safranin: kinetics, equilibrium, and thermodynamics, J. Ind. Eng. Chem., 22, 19, 10.1016/j.jiec.2014.06.019 Wei, 2016, Stoichiometry, isotherms and kinetics of adsorption of in (III) on Cyanex923 impregnated HZ830 resin from hydrochloric acid solutions, Hydrometallurgy, 164, 219, 10.1016/j.hydromet.2016.05.006 Şaban Tanyildizi, 2012, Modeling of adsorption isotherms and kinetics of reactive dye from aqueous solution by peanut hull, Chem. Eng. J., 187, 79 Muthukumaran, 2016, Adsorption isotherms and kinetic studies of crystal violet dye removal from aqueous solution using surfactant modified magnetic nanoadsorbent, J. Taiwan Inst. Chem. E., 63, 354, 10.1016/j.jtice.2016.03.034 Hallajiqomi, 2017, Adsorption of manganese ion using polyaniline and its nanocomposite: kinetics and isotherm studies, J. Ind. Eng. Chem., 55, 191, 10.1016/j.jiec.2017.06.045 Wang, 2018, Comparative evaluation of sorption kinetics and isotherms of pyrene onto microplastics, Chemosphere, 193, 567, 10.1016/j.chemosphere.2017.11.078 Toor, 2012, Adsorption characteristics, isotherm, kinetics, and diffusion of modified natural bentonite for removing diazo dye, Chem. Eng. J., 187, 79, 10.1016/j.cej.2012.01.089 Yan, 2015, Adsorption of acid dyes from aqueous solution by CTMAB modified bentonite: kinetic and isotherm modeling, J. Mol. Liq., 211, 1074, 10.1016/j.molliq.2015.08.032 Wang, 2013, Kinetics and equilibriums for adsorption of poly (vinyl alcohol) from aqueous solution onto natural bentonite, Chem. Eng. J., 214, 343, 10.1016/j.cej.2012.10.070