Modelling and Interpretation of Adsorption Isotherms

The need to design low-cost adsorbents for the detoxification of industrial effluents has been a growing concern for most environmental researchers. So modelling of experimental data from adsorption processes is a very important means of predicting the mechanisms of various adsorption systems. Therefore, this paper presents an overall review of the applications of adsorption isotherms, the use of linear regression analysis, nonlinear regression analysis, and error functions for optimum adsorption data analysis.

[1]  O. Redlich,et al.  A USEFUL ADSORPTION ISOTHERM , 1959 .

[2]  S. Faust,et al.  Adsorption processes for water treatment , 1987 .

[3]  G. Mckay,et al.  Equilibrium studies for the sorption of lead from effluents using chitosan. , 2003, Chemosphere.

[4]  K. Kumar,et al.  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. , 2008, Journal of hazardous materials.

[5]  O. Gimeno,et al.  Adsorption of landfill leachates onto activated carbon. Equilibrium and kinetics. , 2006, Journal of hazardous materials.

[6]  N. Yousef,et al.  Equilibrium and Kinetics Studies of adsorption of Copper ( II ) Ions on Natural Biosorbent , 2022 .

[7]  Chiachung Chen Evaluation of Equilibrium Sorption Isotherm Equations , 2013 .

[8]  S. Ghorbanian,et al.  Modeling of adsorption isotherm of benzoic compounds onto GAC and introducing three new isotherm models using new concept of Adsorption Effective Surface (AES) , 2013 .

[9]  Garth Parker Optimum isotherm equation and thermodynamic interpretation for aqueous 1,1,2-trichloroethene adsorption isotherms on three adsorbents , 1995 .

[10]  G. Mckay,et al.  Optimum isotherms of dyes sorption by activated carbon: Fractional theoretical capacity & error analysis , 2014 .

[11]  D. O’Carroll,et al.  Kinetics and thermodynamics of cadmium ion removal by adsorption onto nano zerovalent iron particles. , 2011, Journal of hazardous materials.

[12]  T. J. Behbahani,et al.  A NEW STUDY ON ASPHALTENE ADSORPTION IN POROUS MEDIA , 2014 .

[13]  Ukiwe Nnabugwu,et al.  Biofilm and Trace Metals Removal from Waste Aqueous Effluent Using Moringa oleifera-Silver Nitrate Microparticles , 2017 .

[14]  N. Sivarajasekar,et al.  Adsorption of basic red 9 onto activated carbon derived from immature cotton seeds: isotherm studies and error analysis , 2014 .

[15]  K. Palanivelu,et al.  Biosorption of nickel(II) ions onto Sargassum wightii: application of two-parameter and three-parameter isotherm models. , 2006, Journal of hazardous materials.

[16]  F. Renault,et al.  Adsorption isotherm models for dye removal by cationized starch-based material in a single component system: error analysis. , 2008, Journal of hazardous materials.

[17]  N. D. Shooto,et al.  Study on Cobalt Metal Organic Framework Material as Adsorbent for Lead Ions Removal in Aqueous Solution , 2016 .

[18]  ANALYSIS OF AMYLBENZENE ADSORPTION EQUILIBRIA ON AN RP-18e CHROMATOGRAPHIC COLUMN , 2003 .

[19]  Thomas M. Missimer,et al.  Use of beach galleries as an intake for future seawater desalination facilities in Florida and globally similar areas , 2014 .

[20]  T. Shahwan,et al.  A radiotracer study of the adsorption behavior of aqueous Ba(2+) ions on nanoparticles of zero-valent iron. , 2007, Journal of hazardous materials.

[21]  B. Subramanyam,et al.  Adsorption Isotherm Modeling of Phenol Onto Natural soils – Applicability of Various Isotherm Models , 2012 .

[22]  A. Alazba,et al.  Adsorptive Removal of Reactive Black 5 from Wastewater Using Bentonite Clay: Isotherms, Kinetics and Thermodynamics , 2015 .

[23]  Walter J. Weber,et al.  Modeling and prediction of specific compound adsorption by activated carbon and synthetic adsorbents , 1980 .

[24]  A. Gupta,et al.  Arsenic adsorption onto iron oxide-coated cement (IOCC): Regression analysis of equilibrium data with several isotherm models and their optimization , 2006 .

[25]  E. Auclair,et al.  In vitro biosorption of ochratoxin A on the yeast industry by-products: comparison of isotherm models. , 2007, Bioresource technology.

[26]  S. Angaye,et al.  Synthesis, Characterization and Application of Mg/Al Layered Double Hydroxide for the Degradation of Congo Red in Aqueous Solution , 2015 .

[27]  Doğan Karadağ,et al.  A comparative study of linear and non-linear regression analysis for ammonium exchange by clinoptilolite zeolite. , 2007, Journal of hazardous materials.

[28]  A. Da̧browski Adsorption--from theory to practice. , 2001, Advances in colloid and interface science.

[29]  F. Brouers,et al.  On the optimal use of isotherm models for the characterization of biosorption of lead onto algae , 2015, bioRxiv.

[30]  Vimal Chandra Srivastava,et al.  Kinetic and equilibrium isotherm studies for the adsorptive removal of Brilliant Green dye from aqueous solution by rice husk ash. , 2007, Journal of environmental management.

[31]  I. D. Mall,et al.  Adsorption of 2-picoline onto bagasse fly ash from aqueous solution , 2008 .

[32]  T. L. Hill Statistical Mechanics of Multimolecular Adsorption II. Localized and Mobile Adsorption and Absorption , 1946 .

[33]  E. Naffrechoux,et al.  Modeling of adsorption isotherms of phenol and chlorophenols onto granular activated carbon. Part II. Models with more than two parameters. , 2007, Journal of hazardous materials.

[34]  T Prabhakar Clement,et al.  A modified Langmuir-Freundlich isotherm model for simulating pH-dependent adsorption effects. , 2012, Journal of contaminant hydrology.

[35]  G. Mckay,et al.  Equilibrium studies of the sorption of Cu(II) ions onto chitosan. , 2002, Journal of colloid and interface science.

[36]  K. Vijayaraghavan Biosorption of lanthanide (praseodymium) using Ulva lactuca: Mechanistic study and application of two, three, four and five parameter isotherm models , 2015 .

[37]  W. Fritz,et al.  Simultaneous adsorption equilibria of organic solutes in dilute aqueous solutions on activated carbon , 1974 .

[38]  C. Theivarasu,et al.  Removal of Malachite Green from Aqueous Solution by Activated Carbon Developed from Cocoa (Theobroma Cacao) Shell - A Kinetic and Equilibrium Studies , 2011 .

[39]  Chengwen Song,et al.  Adsorption Studies of Coconut Shell Carbons Prepared by KOH Activation for Removal of Lead(II) From Aqueous Solutions , 2013 .

[40]  V. Hariram,et al.  Combined effect of LHR coating and Pongamia oil methyl ester on combustion, performance and emission characteristics in a single cylinder DI diesel engine. , 2015 .

[41]  R. T. Yang,et al.  Theoretical basis for the Dubinin-Radushkevitch (D-R) adsorption isotherm equation , 1997 .

[42]  K. Kumar Comparative analysis of linear and non-linear method of estimating the sorption isotherm parameters for malachite green onto activated carbon. , 2006, Journal of hazardous materials.

[43]  M. El-Khaiary Least-squares regression of adsorption equilibrium data: comparing the options. , 2008, Journal of hazardous materials.

[44]  P. Sampranpiboon Equilibrium Isotherm Models for Adsorption of Zinc ( II ) ion from Aqueous Solution on Pulp Waste , 2014 .

[45]  Fb Frans Aarden Adsorption onto heterogeneous porous materials : equilibria and kinetics , 2001 .

[46]  H. Shahbeig,et al.  A new adsorption isotherm model of aqueous solutions on granular activated carbon , 2013 .

[47]  A. Itaya,et al.  LIQUID PHASE ADSORPTION EQUILIBRIUM OF PHENOL AND ITS DERIVATIVES ON MACRORETICULAR ADSORBENTS , 1984 .

[48]  Ezekiel Dixon Dikio,et al.  Adsorption of Congo Red by Ni/Al-CO3: Equilibrium, Thermodynamic and Kinetic Studies , 2015 .

[49]  Thomas W. Weber,et al.  Pore and solid diffusion models for fixed-bed adsorbers , 1974 .

[50]  T. Corrigan,et al.  ADSORPTION ISOTHERMS FOR PURE HYDROCARBONS , 1952 .

[51]  Bing-Lan Liu,et al.  A new linear form analysis of Redlich–Peterson isotherm equation for the adsorptions of dyes , 2010 .

[52]  Khan,et al.  Equilibrium Adsorption Studies of Some Aromatic Pollutants from Dilute Aqueous Solutions on Activated Carbon at Different Temperatures , 1997, Journal of colloid and interface science.

[53]  M. Elyoubi,et al.  Application of nonlinear regression analysis to select the optimum absorption isotherm for Methylene Blue adsorption onto Natural Illitic Clay , 2015 .

[54]  S. Sivanesan,et al.  Pseudo second order kinetics and pseudo isotherms for malachite green onto activated carbon: comparison of linear and non-linear regression methods. , 2006, Journal of hazardous materials.

[55]  P. S. Kumar,et al.  Adsorption behavior of nickel(II) onto cashew nut shell: Equilibrium, thermodynamics, kinetics, mechanism and process design , 2011 .

[56]  M. Samarghandi,et al.  Two-parameter isotherms of methyl orange sorption by pinecone derived activated carbon. , 2009 .

[57]  S. Allen,et al.  Error Analysis of Adsorption Isotherm Models for Acid Dyes onto Bamboo Derived Activated Carbon , 2012 .

[58]  R. Sips,et al.  On the Structure of a Catalyst Surface , 1948 .

[59]  Ebelegi Newton Augustus,et al.  Removal of Congo Red from Aqueous Solutions Using Fly Ash Modified with Hydrochloric Acid , 2017 .

[60]  M. Bilgili,et al.  Removal of 4-nitrophenol from aqueous solution by natural low-cost adsorbents , 2012 .

[61]  E. Naffrechoux,et al.  Modeling of adsorption isotherms of phenol and chlorophenols onto granular activated carbon. Part I. Two-parameter models and equations allowing determination of thermodynamic parameters. , 2007, Journal of hazardous materials.

[62]  M. J. Maah,et al.  Comparative Study of Tributyltin Adsorption onto Mesoporous Silica Functionalized with Calix[4]arene, p-tert-Butylcalix[4]arene and p-Sulfonatocalix[4]arene , 2014, Molecules.

[63]  M. Hubbe,et al.  Cellulosic substrates for removal of pollutants from aqueous systems: a review. Part 4. Dissolved petrochemical compounds. , 2014 .

[64]  P. Le Cloirec,et al.  Revisiting the determination of langmuir parameters--application to tetrahydrothiophene adsorption onto activated carbon. , 2008, Langmuir : the ACS journal of surfaces and colloids.

[65]  B. Koumanova,et al.  Linear and Nonlinear Regression Methods for Equilibrium Modelling of p-Nitrophenol Biosorption by Rhizopus oryzae: Comparison of Error Analysis Criteria , 2013 .

[66]  İ. Tosun,et al.  Lead removal from aqueous solution by natural and pretreated clinoptilolite: adsorption equilibrium and kinetics. , 2007, Journal of hazardous materials.

[67]  J. F. Porter,et al.  The prediction of sorption from a binary mixture of acidic dyes using single- and mixed-isotherm variants of the ideal adsorbed solute theory , 1999 .

[68]  Y. Ho Second-order kinetic model for the sorption of cadmium onto tree fern: a comparison of linear and non-linear methods. , 2006, Water research.

[69]  J. H. de Boer,et al.  The dynamical character of adsorption , 1968 .

[70]  K. Kumar,et al.  Isotherms and thermodynamics by linear and non-linear regression analysis for the sorption of methylene blue onto activated carbon: comparison of various error functions. , 2008, Journal of hazardous materials.

[71]  Feng-Chin Wu,et al.  Adsorption Isotherms of Phenolic Compounds from Aqueous Solutions onto Activated Carbon Fibers , 1996 .

[72]  K. S. Knaebel ADSORBENT SELECTION , 2002 .

[73]  S. Arabia,et al.  KINETIC AND EQUILIBRIUM STUDIES OF ADSORPTION OF LEAD (II) IONS FROM AQUEOUS SOLUTION USING COIR DUST (Cocos nucifera L.) AND IT'S MODIFIED EXTRACT RESINS , 2013 .

[74]  A. Kapoor,et al.  Correlation of equilibrium adsorption data of condensible vapours on porous adsorbents , 1989 .

[75]  C. Travis,et al.  Survey of sorption relationships for reactive solutes in soil , 1981 .

[76]  Douglas M. Ruthven,et al.  Principles of Adsorption and Adsorption Processes , 1984 .

[77]  Thouria Benzaoui,et al.  Adsorption of copper (II) ions from aqueous solution using bottom ash of expired drugs incineration , 2018 .

[78]  J. Toth,et al.  State Equation of the Solid-Gas Interface Layers , 1971 .

[79]  U. Eduok,et al.  Biosorption of zinc from aqueous solution using coconut (Cocos nucifera L) coir dust , 2012 .

[80]  Alan L. Myers,et al.  Thermodynamics of multi-solute adsorption from dilute aqueous solutions , 1978 .

[81]  K. Y. Foo,et al.  Insights into the modeling of adsorption isotherm systems , 2010 .

[82]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[83]  Taha M. Elmorsi,et al.  Equilibrium Isotherms and Kinetic Studies of Removal of Methylene Blue Dye by Adsorption onto Miswak Leaves as a Natural Adsorbent , 2011 .