On the comparison of pseudo-first order and pseudo-second order rate laws in the modeling of adsorption kinetics

Abstract In most works in the current literature about liquid/solid adsorption kinetics, the respective abilities of pseudo-first order and pseudo-second kinetics for describing the data are compared. In nearly all cases, it is concluded that the latter surpasses the former. The aim of this work is to point out that more caution should be exercised in this comparison. Indeed, it appears that the method generally used is flawed and that it unfairly favors pseudo-second order kinetics. A different method is proposed to analyze experimental results. It is employed here to reexamine experimental data taken from the literature.

[1]  Fred Pyrczak,et al.  Coefficient of Determination , 2018, Making Sense of Statistics.

[2]  M. Chiou,et al.  Equilibrium and kinetic modeling of adsorption of reactive dye on cross-linked chitosan beads. , 2002, Journal of hazardous materials.

[3]  A. Pal,et al.  Synergistically improved adsorption of anionic surfactant and crystal violet on chitosan hydrogel beads , 2013 .

[4]  J. F. Porter,et al.  Intraparticle diffusion in single and multicomponent acid dye adsorption from wastewater onto carbon , 2004 .

[5]  Joseph J. Pignatello,et al.  Mechanisms of Slow Sorption of Organic Chemicals to Natural Particles , 1996 .

[6]  Alireza Goudarzi,et al.  Ultrasound assisted adsorption of malachite green dye onto ZnS:Cu-NP-AC: Equilibrium isotherms and kinetic studies – Response surface optimization , 2015 .

[7]  M. Serio,et al.  Further verification of adsorption dynamic intraparticle model (ADIM) for fluid–solid adsorption kinetics in batch reactors , 2016 .

[8]  Shaomin Liu,et al.  Removal of Methylene Blue from Aqueous Solution using Porous Biochar Obtained by KOH Activation of Peanut Shell Biochar , 2015 .

[9]  J. Westwater,et al.  The Mathematics of Diffusion. , 1957 .

[10]  Xiaoyan Yang,et al.  Application of branched pore diffusion model in the adsorption of reactive dyes on activated carbon , 2001 .

[11]  A. Sari,et al.  Adsorption Characteristics of Mercury(II) Ions from Aqueous Solution onto Chitosan-Coated Diatomite , 2015 .

[12]  D. Thévenot,et al.  BATCH METAL REMOVAL BY PEAT : KINETICS AND THERMODYNAMICS , 1986 .

[13]  W. Rudziński,et al.  Theoretical description of the kinetics of solute adsorption at heterogeneous solid/solution interfaces: On the possibility of distinguishing between the diffusional and the surface reaction kinetics models , 2007 .

[14]  Toraj Mohammadi,et al.  Adsorption of divalent heavy metal ions from water using carbon nanotube sheets. , 2011, Journal of hazardous materials.

[15]  A. Adamson,et al.  The exchange adsorption of ions from aqueous solutions by organic zeolites; ion-exchange equilibria. , 1947, Journal of the American Chemical Society.

[16]  Lu Lv,et al.  Critical review in adsorption kinetic models , 2009 .

[17]  M. Bhutani,et al.  Adsorption of low level51Cr(VI) from aqueous solution by bismuth trioxide: Kinetic and IR study , 1994 .

[18]  R. Salim,et al.  Uptake of cadmium from water by beech leaves , 1992 .

[19]  R. Salim,et al.  Removal of cadmium from polluted water using decaying leaves : Effects of type of leaves and of concentration of cadmium , 1996 .

[20]  I. Díaz,et al.  Kinetics and mechanisms of adsorption/desorption of the ionic liquid 1‐buthyl‐3‐methylimidazolium bromide into mordenite , 2016 .

[21]  D. Bhargava,et al.  Use of TNSAC in phosphate adsorption studies and relationships. Literature, experimental methodology, justification and effects of process variables , 1993 .

[22]  Y. Ho,et al.  The adsorption of divalent copper ions from aqueous solution by sphagnum moss peat , 1994 .

[23]  G. Blanchard,et al.  Removal of heavy metals from waters by means of natural zeolites , 1984 .

[24]  N. S. Rawat,et al.  Comparative sorption kinetic studies of phenolic compounds on fly ash and impregnated fly ash , 1994 .

[25]  T. Chuah,et al.  Adsorption of basic dye onto palm kernel shell activated carbon: sorption equilibrium and kinetics studies , 2005 .

[26]  T. O. Kvålseth.  Cautionary Note about R 2 , 1985 .

[27]  A. Hosseini-Bandegharaei,et al.  Kinetics, equilibrium and thermodynamic study of Cr(VI) sorption into toluidine blue o-impregnated XAD-7 resin beads and its application for the treatment of wastewaters containing Cr(VI) , 2010 .

[28]  J. Mcbain.  Theories of occlusion; and the sorption of iodine by carbon , 1919 .

[29]  Y. Ho,et al.  Pseudo-second order model for sorption processes , 1999 .

[30]  Y. Sharma,et al.  Use of wollastonite in the removal of Ni(II) from aqueous solutions , 1990 .

[31]  C. Namasivayam,et al.  Removal of copper(II) by adsorption onto peanut hull carbon from water and copper plating industry wastewater , 1996 .

[32]  Alessandro Di Bucchianico,et al.  Coefficient of Determination (R2) , 2008 .

[33]  I. D. Mall,et al.  Treatment of dairy wastewater by commercial activated carbon and bagasse fly ash: Parametric, kinetic and equilibrium modelling, disposal studies. , 2010, Bioresource technology.

[34]  V. Vilar,et al.  Kinetics and equilibrium modelling of lead uptake by algae Gelidium and algal waste from agar extraction industry. , 2007, Journal of hazardous materials.

[35]  A. Ahmad,et al.  Adsorption of methylene blue onto bamboo-based activated carbon: kinetics and equilibrium studies. , 2007, Journal of hazardous materials.

[36]  Wenjie Zhu,et al.  Uptake of Arsenic(V) Using Alumina Functionalized Highly Ordered Mesoporous SBA-15 (Alx-SBA-15) as an Effective Adsorbent , 2015 .

[37]  I. D. Mall,et al.  Characterization of mesoporous rice husk ash (RHA) and adsorption kinetics of metal ions from aqueous solution onto RHA. , 2006, Journal of hazardous materials.

[38]  R. Salim,et al.  Removal of lead from polluted water using decaying leaves , 1994 .

[39]  B. Hameed,et al.  Calcium alginate–bentonite–activated carbon composite beads as highly effective adsorbent for methylene blue , 2015 .

[40]  J. Simonin,et al.  Intraparticle diffusion-adsorption model to describe liquid/solid adsorption kinetics , 2016 .

[41]  S. Lagergren,et al.  Zur Theorie der sogenannten Adsorption gelöster Stoffe , 1898 .

[42]  Y. Ho.  Review of second-order models for adsorption systems. , 2006, Journal of hazardous materials.

[43]  Kinetics , 2018 .

[44]  Jiaguo Yu,et al.  Isoelectric point and adsorption activity of porous g-C3N4 , 2015 .

[45]  A. Chatterjee,et al.  Multi-resistance kinetic models for biosorption of Cd by raw and immobilized citrus peels in batch and packed-bed columns , 2014 .

[46]  Transformations and R 2 , 1991 .

[47]  Richard Anderson-Sprecher,et al.  Model Comparisons and R 2 , 1994 .

[48]  S. Khare,et al.  Removal of victoria blue from aqueous solution by fly ash , 2007 .

[49]  V. Singh,et al.  Removal of chrome dye from aqueous solutions by fly ash , 1988 .

[50]  R. Lyman Ott.,et al.  An introduction to statistical methods and data analysis , 1977 .

[51]  D. Do,et al.  Adsorption analysis : equilibria and kinetics , 1998 .

[52]  Mehtap Sahiner,et al.  Removal of As(V), Cr(III) and Cr(VI) from aqueous environments by poly(acrylonitril-co-acrylamidopropyl-trimethyl ammonium chloride)-based hydrogels. , 2015, Journal of environmental management.

[53]  W. Weber,et al.  Kinetics of Adsorption on Carbon from Solution , 1963 .

[54]  I. D. Mall,et al.  Adsorptive removal of malachite green dye from aqueous solution by bagasse fly ash and activated carbon-kinetic study and equilibrium isotherm analyses , 2005 .

[55]  M. Ghaedi,et al.  Artificial neural network (ANN) method for modeling of sunset yellow dye adsorption using zinc oxide nanorods loaded on activated carbon: Kinetic and isotherm study. , 2015, Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy.

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

[57]  Y. Chang,et al.  Selective silver ion adsorption onto mesoporous graphitic carbon nitride , 2015 .

[58]  A. Adamson,et al.  The exchange adsorption of ions from aqueous solutions by organic zeolites; kinetics. , 1947, Journal of the American Chemical Society.