Implications of Apparent Pseudo-Second-Order Adsorption Kinetics onto Cellulosic Materials: A Review

Hubbe, Martin A.; Azizian, Saeid; Douven, Sigrid

Request a copy

Article (Scientific journals)

Implications of Apparent Pseudo-Second-Order Adsorption Kinetics onto Cellulosic Materials: A Review

Hubbe, Martin A.; Azizian, Saeid; Douven, Sigrid

2019 • In BioResources, 14 (3), p. 7582-7626

Peer reviewed

Permalink
https://hdl.handle.net/2268/239001

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

BioRes_14_3_Review_Hubbe_AS_Implications_Appar_Pseudo_Second_Order_Sorptive_Kinetics_15852.pdf

Publisher postprint (974.48 kB)

Request a copy

All documents in ORBi are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Keywords :

Kinetics of adsorption; Cellulose; Wood-based materials; Mesoporous substrates

Abstract :

[en] The pseudo-second-order (PSO) kinetic model has become among the most popular ways to fit rate data for adsorption of metal ions, dyes, and other compounds from aqueous solution onto cellulose-based materials. This review first considers published evidence regarding the validity of the mechanistic assumptions underlying application of the PSO model to adsorption kinetics. A literal interpretation of the model requires an assumption that different adsorption sites on a solid substrate randomly collide with each other during a rate-limiting mechanistic step. Because of problems revealed by the literature regarding the usual assumptions associated with the PSO model, this review also considers how else to account for good fits of adsorption data to the PSO model. Studies have shown that adsorption behavior that fits the PSO model well often can be explained by diffusion-based mechanisms. Hypothetical data generated using the assumption of pseudo-first-order rate behavior has been shown to fit the PSO model very well. In light of published evidence, adsorption kinetics of cellulosic materials is expected to mainly depend on diffusion-limited processes, as affected by heterogeneous distributions of pore sizes and continual partitioning of solute species between a dissolved state and a fixed state of adsorption.

Disciplines :

Chemical engineering

Author, co-author :

Hubbe, Martin A.; North Carolina State University > Department of Forest Biomaterials

Azizian, Saeid; Bu Ali Sina University > Department of Physical Chemistry

Douven, Sigrid ; Université de Liège - ULiège > Department of Chemical Engineering > Nanomaterials, Catalysis, Electrochemistry

Language :

English

Title :

Implications of Apparent Pseudo-Second-Order Adsorption Kinetics onto Cellulosic Materials: A Review

Publication date :

2019

Journal title :

BioResources

eISSN :

1930-2126

Publisher :

North Carolina University, Raleigh, United States - North Carolina

Volume :

14 (3)

Pages :

7582-7626

Peer reviewed :

Peer reviewed

Available on ORBi :

since 28 August 2019

Statistics

Number of views

85 (1 by ULiège)

Number of downloads

1 (1 by ULiège)

More statistics

Scopus citations^®

409

Scopus citations^®
without self-citations

405

Bibliography

Alanissila, T., and Ying, S. C. (1992). "Theory of classical surface diffusion, " Prog. Surface Sci. 39(3), 227-323. DOI: 10.1016/0079-6816(92)90017-C
Ali, I. (2014). "Water treatment by adsorption columns: Evaluation at ground level, " Separ. Purif. Rev. 43(3), 175-205. DOI: 10.1080/15422119.2012.748671
Alince, B. (2002). "Porosity of swollen pulp fibers revisited, " Nordic Pulp Paper Res. J. 17(1), 71-73. DOI: 10.3183/npprj-2002-17-01-p071-073
Alince, B., and van de Ven, T. G. M. (1997). "Porosity of swollen pulp fibers evaluated by polymer adsorption, " in: The Fundamentals of Papermaking Materials, Trans. 11th Fundamental Research Symp., Cambridge, Vol. 2, pp. 771-788.
Ancheyta Juárez, J. (2017). Chemical Reaction Kinetics: Concepts, Methods, and Case Studies, Wiley, Hoboken, NJ. DOI: 10.1002/9781119226666
Aretxaga, A., Romero, S, Sarra, M., and Vicent, T. (2001). "Adsorption step in the biological degradation of a textile dye, " Biotechnol. Prog. 17(4), 664-668. DOI: 10.1021/bp010056c
Azizian, S. (2004). "Kinetic models of sorption: A theoretical analysis, " J. Colloid Interface Sci. 276(1), 47-52. DOI: 10.1016/j.jcis.2004.03.048
Azizian, S., Eris, S., and Wilson, L. D. (2018). "Re-evaluation of the century-old Langmuir isotherm for modeling adsorption phenomena in solution, " Chem. Phys. 513, 99-104. DOI: 10.1016/j.chemphys.2018.06.022
Bailey, G. W., and White, J. L. (1964). "Review of adsorption & desorption of organic pesticides by soil colloids with implications concerning pesticide bioactivity, " J. Agric. Food Chem. 12(4), 324-332. DOI: 10.1021/jf60134a007
Bansal, R. C., Vastola, F. J., and Walker, P. L. (1971). "Studies on ultra-clean carbon surfaces. 3. Kinetics of chemisorption of hydrogen on graphon, " Carbon 9, 185-192. DOI: 10.1016/0008-6223(71)90130-8
Baral, S. S., Das, S. N., and Rath, P. (2006). "Hexavalent chromium removal from aqueous solution by adsorption on treated sawdust, " Bioochem. Eng. J. 31(3), 216-222. DOI: 10.1016/j.bej.2006.08.003
Berthold, J., and Salmén, L. (1997). "Effects of mechanical and chemical treatments on the pore size distribution in wood pulps examined by inverse size exclusion chromatography (SEC), " J. Pulp Paper Sci. 23(6), J245-J253.
Blanchard, G., Maunaye, M., and Martin, G. (1984). "Removal of heavy metals from waters by means of natural zeolites, " Water Res. 18, 1501-1507. DOI: 10.1016/0043-1354(84)90124-6
Box, G. E. P. (1976). "Science and statistics, " J. Amer. Statistical Assoc. 71, 791-799. DOI:10.1080/01621459.1976.10480949
Boyd, G. E., Adamson, A. W., and Myers, L. S. (1947). "The exchange adsorption of ions from aqueous solutions by organic zeolites. II. Kinetics, " J. Amer. Chem. Soc. 69, 2836-2848. DOI: 10.1021/ja01203a066
Brandstrom, J. (2001). "Micro-and ultrastructural aspects of Norway spruce tracheids: A review, " IAWA J. 22(4), 333-353. DOI: 10.1163/22941932-90000381
Browne, T. E., and Cohen, Y. (1993). "Polymer-grafted silica-A screening system for polymeric adsorption resin development, " Indust. Eng. Chem. Res. 32(4), 716-725. DOI: 10.1021/ie00016a019
Budd, J., and Herrington, T. M. (1989). "Surface-charge and surface-area of cellulose fibers, " Colloids Surf 36(3), 273-288. DOI: 10.1016/0166-6622(89)80243-4
Bulut, Y., and Aydin, H. (2006). "A kinetics and thermodynamics study of methylene blue adsorption on wheat shells, " Desalination 194, 259-267. DOI: 10.1016/j.desal.2005.10.032
Caceres, L., Escudey, M., Fuentes, E., and Baez, M. E. (2010). "Modeling the sorption kinetic of metsulfuron-methyl on Andisols and Ultisols volcanic ash-derived soils: Kinetics parameters and solute transport mechanisms, " J. Hazard Mater. 179, 795-803. DOI: 10.1016/j.jhazmat.2010.03.074
Calvet, R., Terce, M., and Arvieu, J. C. (1980a). "Bibliographical review-Adsorption of pesticides by the soils and their constituents. 1. Description of the adsorption phenomenon, " Ann. Agron. 31(1), 33-62.
Calvet, R., Terce, M., and Arvieu, J. C. (1980b). "Bibliographical review-Adsorption of pesticides by the soils and their constituents. 2. The factors of the adsorption, " Ann. Agron. 31(2), 125-162.
Canzano, S., Iovino, P., Leone, V., Salvestrini, S., and Capasso, S. (2012). "Use and misuse of sorption kinetic data: A common mistake that should be avoided, " Adsorp. Sci. Technol. 30(3), 217-225. DOI: 10.1260/0263-6174.30.3.217
Chatterjee, A., and Schiewer, S (2014). "Multi-resistance kinetic models for biosorption of Cd by raw and immobilized citrus peels in batch and packed-bed columns, " Chem. Eng. J. 244, 105-116. DOI: 10.1016/j.cej.2013.12.017
Chen, Y. M., Wang, Y., Wan, J. Q., and Ma, Y. W. (2010). "Crystal and pore structure of wheat straw cellulose fiber during recycling, " Cellulose 17(2), 329-338. DOI: 10.1007/s10570-009-9368-z
Cheung, W. H., Szeto, Y. S., and McKay, G. (2007). "Interparticle diffusion processes during acid dye adsorption onto chitosan, " Bioresour. Technol. 98(15), 2897-2904. DOI: 10.1016/j.biortech.2006.09.045
Chiron, N., Guilet, R., and Deydier, E. (2003). "Adsorption of Cu(II) and Pb(II) onto a grafted silica: Isotherms and kinetic models, " Water Res. 37(13), 3079-3086. DOI: 10.1016/S0043-1354(03)00156-8
Choi, J. G., Do, D. D., and Do, H. D. (2001). "Surface diffusion of adsorbed molecules in porous media: Monolayer, multilayer, and capillary condensation regimes, " Ind. Eng. Chem. Res. 40(19), 4005-4031. DOI: 10.1021/ie010195z
Chowdhury, Z. Z., Hasan, M. R., Abd Hamid, S. B., Samsudin, E. M., Zain, S. M., and Khalid, K. (2015). "Catalytic pretreatment of biochar residues derived from lignocellulosic feedstock for equilibrium studies of manganese, Mn(II) cations from aqueous solution, " RSC Advan. 5(9), 6345-6356. DOI: 10.1039/c4ra09709b
Coleman, N. T., McClung, A. C., and Moore, D. P. (1956). "Formation constants for Cu(II)-peat complexes, " Science 123, 330-331. DOI: 10.1126/science.123.3191.330
Connors, K. E. (1990). Chemical Kinetics. The Study of Reaction Rates in Solution, VCH, New York, NY.
Cosby, B. J., Hornberger, G. M., Galloway, J. N., and Wright, R. F. (1985). "Modeling the effects of acid deposition-Assessment of a lumped parameter model of soil-water and streamwater chemistry, " Water Resour. Res. 21(1), 51-63. DOI: 10.1029/WR021i001p00051
Crank, J. (1956). The Mathematics of Diffusion, Oxford Univ. Press, London.
Crini, G., Peindy, H. N., Gimbert, F., and Robert, C. (2007). "Removal of CI Basic Green 4 (Malachite Green) from aqueous solutions by adsorption using cyclodextrin-based adsorbent: Kinetic and equilibrium studies, " Separ. Purif. Technol. 53(1), 97-110. DOI: 10.1016/j.seppur.2006.06.018
de Gennes, P. G. (1971). "Reptation of a polymer chain in presence of fixed obstacles, " J. Chem. Phys. 55, 572-579. DOI: 10.1063/1.1675789
Demirbas, A. (2008). "Heavy metal adsorption onto agro-based waste materials: A review, " J. Hazard. Mater. 157, 220-229. DOI: 10.1016/j.jhazmat.2008.01.024
Demirbas, E., Kobya, M., Oncel, S., and Sencan, S. (2002). "Removal of Ni(II) from aqueous solution by adsorption onto hazelnut shell activated carbon: Equilibrium studies, " Bioresour. Technol. 84(3), 291-293. DOI: 10.1016/S0960-8524(02)00052-4
Denisov, E. T., Sarkisov, O. M., and Likhtenschtein, G. I. (2003). Chemical Kinetics. Fundamentals and New Developments, Elsevier, Amsterdam.
Do, D. D., and Do, H. D. (2003). "Pore characterization of carbonaceous materials by DFT and GCMC simulations: A review, " Adsorp. Sci. Technol. 21(5), 389-423. DOI: 10.1260/026361703769645753
Dogan, M., Abak, H., and Alkan, M. (2009). "Adsorption of methylene blue onto hazelnut shell: Kinetics, mechanism and activation parameters, " J. Hazard. Mater. 164(1), 172-181. DOI: 10.1016/j.jhazmat.2008.07.155
Doktorov, A. B., and Kipriyanov, A. A. (2007). "Deviation from the kinetic law of mass action for reactions induced by binary encounters in liquid solutions, " J. Phys. Condensed Matter 19(6), article no. 065136. DOI: 10.1088/0953-8984/19/6/065136
Douven, S., Paez, C. A., and Gommes, C. J. (2015). "The range of validity of sorption kinetic models, " J. Colloid Interface Sci. 448, 437-450. DOI: 10.1016/j.jcis.2015.02.053
Epstein, N. (1989). "On tortuosity and the tortuosity factor in flow and diffusion through porous-media, " Chem. Eng. Sci. 44(3), 777-779. DOI:10.1016/0009-2509(89)85053-5
Fick, A. (1855). "Ueber Diffusion, " Annalen die Physik 170(1), 59-86. DOI: 0.1002/andp.18551700105
Forsström, J., Andreasson, B., and Wâgberg, L. (2005). "Influence of pore structure and water retaining ability of fibres on the strength of papers from unbleached kraft fibres, " Nordic Pulp Paper Res. J. 20(2), 176-185. DOI: 10.3183/npprj-2005-20-02-p176-185
Flynn, K. A. (1995). "A review of the permeability, fluid-flow, and anatomy of spruce (Picea spp.), " Wood Fiber Sci. 27(3), 278-284.
Gabrielii, I., Gatenholm, P., Glasser, W. G., Jain, R. K., and Kenne, L. (2000). "Separation, characterization and hydrogel-formation of hemicellulose from aspen wood, " Carbohydr. Polym. 43(4), 367-374. DOI: 10.1016/S0144-8617(00)00181-8
George, S. C., and Thomas, S. (2001). "Transport phenomena through polymeric systems, " Prog. Polym. Sci. 26(6), 985-1017. DOI: 10.1016/S0079-6700(00)00036-8
Gupta, V. K., and Suhas (2009). "Application of low-cost adsorbents for dye removal-A review, " J. Environ. Manag. 90(8), 2313-2342. DOI: 10.1016/j.jenvman.2008.11.017
Gutsche, R., and Yoshida, H. (1994). "Solid diffusion in the pores of cellulose membrane, " Chem. Eng. Sci. 49(2), 179-188. DOI: 10.1016/0009-2509(94)80036-7
Haerifar, M., and Azizian, S. (2013). "Mixed surface reaction and diffusion-controlled kinetic model for adsorption at the solid-solution interface, " J. Phys. Chem. C 117(16), 8310-8317. DOI: 10.1021/jp401571m
Haggerty, R., and Gorelick, S. M. (1995). "Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity, " Water Resour. Res. 31(10), 2383-2400. DOI: 10.1029/95WR10583
Hameed, B. H., Din, A. T. M., and Ahmad, A. L. (2007). "Adsorption of methylene blue onto bamboo-based activated carbon: Kinetics and equilibrium studies, " J. Hazard. Mater. 141(3), 819-825. DOI: 10.1016/j.jhazmat.2006.07.049
Hansen, C. M. (2007). Hansen Solubility Parameters: A User's Handbook, 2nd Ed., CRC Press, Boca Raton, FL, USA. DOI: 10.1201/9781420006834
Hansen, C. M., and Björkman, A. (1998). "The ultrastructure of wood from a solubility parameter point of view, " Holzforschung 52(4), 335-344. DOI: 10.1515/hfsg.1998.52.4.335
Hansmann, C., Wimmer, W. G. R., and Teischinger, A. (2002). "Permeability of wood-A review. " Drevarky Vyskum 47(4), 1-16.
Henriksen, N. E., and Hansen, F. Y. (2008). Theories of Molecular Reaction Dynamics: The Microscopic Foundation of Chemical Kinetics, Oxford Univ. Press, New York.
Hill, C. G. (2014). An Introduction to Chemical Engineering Kinetics & Reactor Design, Wiely, Hoboken, NJ, USA.
Ho, Y. S. (2006a). "Second-order kinetic model for the sorption of cadmium onto tree fern: A comparison of linear and non-linear methods, " Water Res. 40(1), 119-125. DOI: 10.1016/j.watres.2005.10.040
Ho, Y. S. (2006b). "Review of second-order models for adsorption systems, " J. Hazard Mater. 136(3), 681-689. DOI: 10.1016/j.jhazmat.2005.12.043
Ho, Y. S. (2014). "Using of 'pseudo-second-order model' in adsorption, " Environ. Sci. Pollut. Res. 21(11), 7234-7235. DOI: 10.1007/s11356-013-2213-9
Ho, Y. S. (2016). "Comments on the paper 'Removal of aqueous Hg(II) and Cr(VI) using phytic acid doped polyaniline/cellulose acetate composite membrane', " J. Hazard. Mater. 311, 273-274. DOI: 10.1016/j.jhazmat.2016.01.058
Ho, Y. S., and McKay, G. (1998a). "Sorption of dye from aqueous solution by peat, " Chem. Eng. J. 70(2), 115-124. DOI: 10.1016/S0923-0467(98)00076-1
Ho, Y. S., and McKay, G. (1998b). "Kinetic models for the sorption of dye from aqueous solution by wood, " Process Safety Environ. Protec. 76(B2), 183-191. DOI: 10.1205/095758298529326
Ho, Y. S., and McKay, G. (1998c). "A comparison of chemisorption kinetic models applied to pollutant removal on various sorbents, " Process Saf. Environ. Protec. 76(B4), 332-340. DOI: 10.1205/095758298529696
Ho, Y. S., and McKay, G. (1999). "Pseudo-second order model for sorption processes, " Process Biochem. 34(5), 451-465. DOI: 10.1016/S0032-9592(98)00112-5
House, J. E. (2007). Principles of Chemical Kinetics, Elesevier/Academic Press, Boston.
Hubbe, M. A., Pawlak, J. J., and Koukoulas, A. A. (2008). "Paper's appearance: A review, " BioResources 3(2), 627-665.
Hubbe, M. A., Hasan, S. H., and Ducoste, J. J. (2011). "Cellulosic substrates for removal of pollutants from aqueous systems: A review. 1. Metals, " BioResources 6(2), 2161-2287.
Hubbe, M. A., Beck, K. R., O'Neal, W. G., and Sharma, Y. C. (2012a). "Cellulosic substrates for removal of pollutants from aqueous systems: A review. 2. Dyes, " BioResources 7(2), 2592-2687. DOI: 10.15376/biores.7.2.2592-2687
Hubbe, M. A., Sundberg, A., Mocchiutti, P., Ni, Y., and Pelton, R. (2012b). "Dissolved and colloidal substances (DCS) and the charge demand of papermaking process waters and suspensions: A review, " BioResources 7(4), 6109-6193. DOI: 10.15376/biores.7.4.6109-6193
Hubbe, M. A. (2013). "New horizons for use of cellulose-based materials to adsorb pollutants from aqueous solutions, " Lignocellulose 2(2), 386-411.
Hubbe, M. A., Park, J., and Park, S. (2014). "Cellulosic substrates for removal of pollutants from aqueous systems: A review. Part 4. Dissolved petrochemical compounds, " BioResources 9(4), 7782-7925.
Hubbe, M. A., Gardner, D. J., and Shen, W. (2015). "Contact angles and wettability of cellulosic surfaces: A review of proposed mechanisms and test strategies, " BioResources 10(4), 8657-8749. DOI: 10.15376/biores.10.4.Hubbe_Gardner_Shen
Inyang, M. I., Gao, B., Yao, Y., Xue, Y. W., Zimmerman, A., Mosa, A., Pullammanappallil, P., Ok, Y. S., and Cao, X. D. (2016). "A review of biochar as a low-cost adsorbent for aqueous heavy metal removal, " Crit. Rev. Environ. Sci. Technol. 46(4), 406-433. DOI: 10.1080/10643389.2015.1096880
Irle, M., and Barbu, M. C. (2010). "Wood-based panel technology, " in: Wood-based Panels-An Introduction for Specialists, Thomen, H., Irle, M., and Sernek, M. (eds.), Brunel Univ. Press, Uxbridge, Ch. 1, pp. 1-94.
Jervis, E. J., Haynes, C. A., and Kilburn, D. G. (1997). "Surface diffusion of cellulases and their isolated binding domains on cellulose, " J. Biological Chem. 272(38), 24016-24023. DOI: 10.1074/jbc.272.38.24016
Kabanov, V. A., Zezin, A. B., and Rogacheva, V. B. (1989). "Active transport of linear polyions in oppositely charged swollen polyelectrolyte networks, " Macromol. Chem. Phys. 190, 2211-2216. DOI: 10.1002/macp.1989.021900921
Kalavathy, M. H., Karthikeyan, T., Rajgopal, S., and Miranda, L. R. (2005). "Kinetic and isotherm studies of Cu(II) adsorption onto H3PO4-activated rubber wood sawdust, " J. Colloid Interface Sci. 292(2), 354-362. DOI: 10.1016/j.jcis.2005.05.087
Kaneko, K. (1994). "Determination of pore-size and pore-size distribution. 1. Adsorbents and catalysts, " J. Membrane Sci. 96, 59-89. DOI: 10.1016/0376-7388(94)00126-X
Kozuch, S., and Martin, J. M. L. (2011). "The rate-determining step is dead. Long live the rate-determining state!, " ChemPhysChem 12(8), 1413-1418. DOI: 10.1002/cphc.201100137
Kumar, R., Sharma, R. K., and Singh, A. P. (2017). "Cellulose based grafted biosorbents-Journey from lignocellulose biomass to toxic metal ions sorption applications-A review, " J. Molecular Liquids 232, 62-93. DOI: 10.1016/j.molliq.2017.02.050
Lagergren, S. (1898). "About the theory of so-called adsorption of soluble substances, " K. Sven. Vetenskapsakad. Handl. 24, 1-39.
Langmuir, I. (1918). "The adsorption of gases on plane surface of glass, mica and platinum, " J. Am. Chem. Soc. 40, 1361-1403. DOI: 10.1021/ja02242a004
Laohaprapanon, S., Marques, M., and Hogland, W. (2010). "Removal of organic pollutants from wastewater using wood fly ash as a low-cost sorbent, " Clean-Soil Air Water 38(11), 1055-1061. DOI: 10.1002/clen.201000105
Largitte, L., and Pasquier, R. (2016). "A review of the kinetics adsorption models and their application to the adsorption of lead by an activated carbon, " Chem. Eng. Res. Design 109, 495-504. DOI: 10.1016/j.cherd.2016.02.006
Leyvaramos, R., and Geankoplis, C. J. (1994). "Diffusion in liquid-filled pores of activated carbon. 1. Pore volume diffusion, " Can. J. Chem. Eng. 72(2), 262-271. DOI: 10.1002/cjce.5450720213
Li, T.-Q., Henriksson, U., and Ödberg, L. (1993). "Determination of pore sizes in wood cellulose fibers by 2H and 1H NMR, " Nordic Pulp Paper Res. J. 8(3), 326-330. DOI: 10.3183/npprj-1993-08-03-p326-330
Lin, Y., Fang, G., Deng, Y. J., Shen, K. Z., Wu, T., and Li, M. (2018). "Highly effective removal of methylene blue using a chemi-mechanical pretreated cellulose-based superabsorbent hydrogel, " BioResources 13(4), 8709-8722. DOI: 10.15376/biores.13.4.8709-8722
Liu, Q.-S., Zheng, T., Wang, P., Jiang, J.-P., and Li, N. (2010). "Adsorption isotherm, kinetic and mechanistic studies of some substituted phenols on activated carbon fibers, " Chem. Eng. J. 157, 348-356. DOI: 10.1016/j.cej.2009.11.013
Liu, Y., Huang, S. B., Zhao, X. S., and Zhang, Y. Q. (2018). "Fabrication of three-dimensional porous beta-cyclodextrin/chitosan functionalized graphene oxide hydrogel for methylene blue removal from aqueous solution, " Colloids Surf A-Physicochem. Eng. Aspects 539, 1-10. DOI: 10.1016/j.colsurfa.2017.11.066
Liu, Y., and Liu, Y. J. (2008). "Biosorption isotherms, kinetics and thermodynamics, " Sep. Purif Technol. 61, 229-242. DOI: 10.1016/j.seppur.2007.10.002
Maekawa, M., Murkami, K., and Yoshida, H. (1995). "Effects of type of adsorption isotherms on parallel diffusion of sulfonated dyes into porous cellulose membrane, " Colloid Polymer Sci. 273(8), 793-799. DOI: 10.1007/BF00658759
Maloney, T. C., Paulapuro, H., and Stenius, P. (1998). "Hydration and swelling of pulp fibers measured with differential scanning calorimetry, " Nordic Pulp Paper Res. 13(1), 31-36. DOI: 10.3183/npprj-1998-13-01-p031-036
Medved, I., and Cerny, R. (2011). "Surface diffusion in porous media: A critical review, " Micropor. Mesopor. Mater. 142(2-3), 405-422. DOI: 10.1016/j.micromeso.2011.01.015
Mills, G., Jónsson, H., and Schenter, G. K. (1995). "Reversible work transition state theory: Application to dissociative adsorption of hydrogen, " Surface Sci. 324, 305-337. DOI: 10.1016/0039-6028(94)00731-4
Miyabe, K., and Guiochon, G. (2003). "Measurement of the parameters of the mass transfer kinetics in high performance liquid chromatography, " J. Separ. Sci. 26(3-4), 155-173. DOI: 10.1002/jssc.200390024
Mohan, S. V., Ramanaiah, S. V., and Sharma, P. N. (2008). "Biosorption of direct azo dye from aqueous phase onto Spirogyra sp I02: Evaluation of kinetics and mechanistic aspects, " Biochem. Eng. J. 38, 61-69. DOI: 10.1016/j.bej.2007.06.014
Molin, U., and Daniel, G. (2004). "Effects of refining on the fibre structure of kraft pulps as revealed by FE-SEM and TEM: Influence of alkaline degradation, " Holzforschung 58(3), 226-232. DOI: 10.1515/HF.2004.035
Momoshima, N., and Bondietti, E. A. (1990). "Cation binding in wood-Applications to understanding historical changes in divalent-cation availability to red spruce, " Can. J. For. Res. 20(12), 1840-1849. DOI: 10.1139/x90-247
Moran-Mirabal, J. M., Bolewski, J. C., and Walker, L. P. (2013). "Thermobifida fusca cellulases exhibit limited surface diffusion on bacterial micro-crystalline cellulose, " Biotechnol. Bioeng. 110(1), 47-56. DOI: 10.1002/bit.24604
Nam, G., Johner, A., and Lee, N. K. (2010). "Reptation of a semiflexible polymer through porous media. " J. Chem. Phys. 133(4), article no. 144908. DOI: 10.1063/1.3457999
Nasir, A. M., Nordin, N. A. H. M., Goh, P. S., and Ismail, A. F. (2018). "Application of two-dimensional leaf-shaped zeolitic imidazolate framework (2D ZIF-L) as arsenite adsorbent: Kinetic, isotherm and mechanism, " J. Molec. Liq. 250, 269-277. DOI: 10.1016/j.molliq.2017.12.005
Ncibi, M. C., Mahjoub, B., and Seffen, M. (2008). "Investigation of the sorption mechanisms of metal-complexed dye onto Posidonia oceanica (L.) fibres through kinetic modelling analysis, " Bioresour. Technol. 99(13), 5582-5589. DOI: 10.1016/j.biortech.2007.10.040
Nethaji, S., Sivasamy, A., Thennarasu, G., and Saravanan, S. (2010). "Adsorption of Malachite Green dye onto activated carbon derived from Borassus aethiopum flower biomass, " J. Hazard Mater. 181(1-3), 271-280. DOI: 10.1016/j.jhazmat.2010.05.008
Ödberg, L., Tanaka, H., and Swerin, A. (1993). "Kinetic aspects of the adsorption of polymers on cellulosic fibers, " Nordic Pulp Paper Res. J. 8(1), 6-9, 47. DOI: 10.3183/npprj-1993-08-01-p006-010
Ofomaja, A. E. (2008). "Kinetic study and sorption mechanism of methylene blue and methyl violet onto mansonia (Mansonia altissima) wood sawdust, " Chem. Eng. J. 143(1-3), 85-95. DOI: 10.1016/j.cej.2007.12.019
Özer, A. (2007). "Removal of Pb(II) ions from aqueous solutions by sulphuric acid-treated wheat bran, " J. Hazard Mater. 141, 753-761. DOI: 10.1016/j.jhazmat.2006.07.040
Parham, R. A., and Gray, R. L. (1982). The Practical Identification of Wood Pulp Fibers, TAPPI Press, Atlanta.
Pekar, M. (2005). "Thermodynamics and foundations of mass-action kinetics, " Prog. Reaction Kinetics Mechan. 30, 3-113. DOI: 10.3184/007967405777874868
Perlach, J. R. (1981). Activated Carbon Adsorption for Wastewater Treatment, CRC Press, Boca Raton, LA, pp. 260.
Piasecki, W., and Rudzinski, W. (2007). "Application of the statistical rate theory of interfacial transport to investigate the kinetics of divalent metal ion adsorption onto energetically heterogeneous surfaces of oxides and activated carbons, " Appl. Surface Sci. 253, 5814-5817. DOI: 10.1016/j.apsusc.2006.12.066
Plazinski, W., Rudzinski, W., and Plazinska, A. (2009). "Theoretical models of sorption kinetics including a surface reaction mechanism: A review, " Advan. Colloid Interface Sci. 152(1-2), 2-13. DOI: 10.1016/j.cis.2009.07.009
Podstawczyk, D., and Witek-Krowiak, A. (2016). "Novel nanoparticles modified composite eco-adsorbents-A deep insight into kinetics modelling using numerical surface diffusion and artificial neural network models, " Chem. Eng. Res. Design 109, 1-17. DOI: 10.1016/j.cherd.2016.01.008
Porkodi, K., and Kumar, K. V. (2007). "Equilibrium, kinetics and mechanism modeling and simulation of basic and acid dyes sorption onto jute fiber carbon: Eosin yellow, malachite green and crystal violet single component systems, " J. Hazard. Mater. 143, 311-327. DOI: 10.1016/j.jhazmat.2006.09.029
Reddy, D. H. K., and Lee, S. M. (2013). "Synthesis and characterization of a chitosan ligand for the removal of copper from aqueous media, " J. Appl. Polym. Sci. 130(6), 4542-4550. DOI: 10.1002/app.39578
Rengaraj, S., and Moon, S. H. (2002). "Kinetics of adsorption of Co(II) removal from water and wastewater by ion exchange resins, " Water Res. 36(7), 1783-1793. DOI: 10.1016/S0043-1354(01)00380-3
Ritchie, A. G. (1977). "Alternative to Elovich equation for kinetics of adsorption of gases on solids, " J. Chem. Soc.-Faraday Trans. I 73, 1650-1653. DOI: 10.1039/f19777301650
Rubin, E., Rodriguez, P., Herrero, R., and Vicente, M. E. S. (2010). "Adsorption of methylene blue on chemically modified algal biomass: Equilibrium, dynamic, and surface data, " J. Chem. Eng. Data 55(12), 5707-5714. DOI: 10.1021/je100666v
Rudzinski, W., and Plazinski, W. (2006). "Kinetics of solute adsorption at solid/solution interfaces: A theoretical development of the empirical pseudo-first and pseudo-second order kinetic rate equations, based on applying the statistical rate theory of interfacial transport, " J. Phys. Chem. B 110(33), 16514-16525. DOI: 10.1021/jp061779n
Rudzinski, W., and Plazinski, W. (2008). "Kinetic of solute adsorption at solid/solution interfaces: On the special features of the initial adsorption kinetics, " Langmuir 24, 6738-6744. DOI: 10.1021/la800743a
Salleh, M. A. M., Mahmoud, D. K., Karim, W. A. W. A., and Idris, A. (2011). "Cationic and anionic dye adsorption by agricultural solid wastes: A comprehensive review, " Desalination 280, 1-13. DOI: 10.1016/j.desal.2011.07.019
Schweich, D., and Sardin, M. (1981). "Adsorption, partition, ion-exchange and chemical-reaction in batch reactors or in columns-A review, " J. Hydrology 50, 1-33. DOI: 10.1016/0022-1694(81)90059-7
Sen Gupta, S., and Bhattacharyya, K. G. (2011). "Kinetics of adsorption of metal ions on inorganic materials: A review, " Advan. Colloid Interface Sci. 162, 39-58. DOI: 10.1016/j.cis.2010.12.004
Senthilkumaar, S., Kalaamani, P., and Subburaam, C. V. (2006). "Liquid phase adsorption of crystal violet onto activated carbons derived from male flowers of coconut tree, " J. Hazard. Mater. 136(3), 800-808. DOI: 10.1016/j.jhazmat.2006.01.045
Shen, L., and Chen, Z. X. (2007). "Critical review of the impact of tortuosity on diffusion, " Chem. Eng. Sci. 62(14), 3748-3755. DOI: 10.1016/j.ces.2007.03.041
Sobkowski, J., and Czerwinski, A. (1974). "Kinetics of carbon dioxide adsorption on a platinum electrode, " J. Electroanal. Chem. 55(3), 391-397. DOI: 10.1016/S0022-0728(74)80433-X
Soustelle, M. (2011). An Introduction to Chemical Kinetics, Wiley, Hoboken, NJ, USA, pp. 448. DOI: 10.1002/9781118604243
Stone, J. E., and Scallan, A. M. (1968). "A structural model for the cell wall of water-swollen wood pulp fibres based on their accessibility to macromolecules, " Cellulose Chem. Technol. 2, 343-358.
Suhas, Gupta, V. K., Carrott, P. J. M., Singh, R., Chaudhary, M., and Kushwaha, S. (2016). "Cellulose: A review as natural, modified and activated carbon adsorbent, " BioResour. Technol. 216, 1066-1076. DOI: 10.1016/j.biortech.2016.05.106
Sun, Q. Y., and Yang, L. Z. (2003). "The adsorption of basic dyes from aqueous solution on modified peat-resin particle, " Water Res. 37(7), 1535-1544. DOI: 10.1016/S0043-1354(02)00520-1
Suteu, D., and Bilba, D. (2005). "Equilibrium and kinetic study of reactive dye Brilliant Red HE-3B adsorption by activated charcoal, " Acta Chimica Slovenica 52(1), 73-79.
Suteu, D., Malutan, T., and Bilba, D. (2010). "Removal of reactive dye Brilliant Red HE-3B from aqueous solutions by industrial lignin: Equilibrium and kinetics modeling, " Desalination 225(1-3), 84-90. DOI: 10.1016/j.desal.2010.01.010
Suurnäkki, A., Li, T. Q., Buchert, J., Tenkanen, M., Viikari, L., Vuorinen, T., and Ödberg, L. (1997). "Effects of enzymatic removal of xylan and glucomannan on the pore size distribution of kraft fibres, " Holzforschung 51(1), 27-33. DOI: 10.1515/hfsg.1997.51.1.27
Tan, I. A. W., Ahmad, A. L., and Hameed, B. H. (2008). "Adsorption of basic dye on high-surface-area activated carbon prepared from coconut husk: Equilibrium, kinetic and thermodynamic studies, " J. Hazard. Mater. 154, 337-346. DOI: 10.1016/j.jhazmat.2007.10.031
Tan, K. L., and Hameed, B. H. (2017). "Insight into the adsorption kinetics models for the removal of contaminants from aqueous solutions, " J. Taiwan Inst. Chem. Eng. 74, 25-48. DOI: 10.1016/j.jtice.2017.01.024
Tanzifi, M., Yaraki, M. T., Kiadehi, A. D., Hosseini, S. H., Olazar, M., Bharti, A. K., Agarwal, S., Gupta, V. K., and Kazemi, A. (2018). "Adsorption of Amido Black 10B from aqueous solution using polyaniline/SiO2 nanocomposite: Experimental investigation and artificial neural network modeling, " J. Colloid Interface Sci. 510, 2246-261. DOI: 10.1016/j.jcis.2017.09.055
Teraoka, I., Landley, K. H., and Karasz, F. E. (1992). "Reptation dynamics of semirigid polymers in porous media, " Macromol. 25(23), 6106-6112. DOI: 10.1021/ma00049a005
Thirumalisamy, S., and Subbian, M. (2010). "Removal of methylene blue from aqueous solution by activated carbon prepared from the peel of Cucumis sativa fruit by adsorption, " BioResources 5(1), 419-437.
Tijssen, R., Schoenmakers, P. J., Bohmer, M. R., Koopal, L. K., and Billiet, H. A. H. (1993). "Lattice models for the description of partitioning adsorption and retention in reversed-phase liquid-chromatography, including surface and shape effects, " J. Chromatography A 656, 135-196. DOI: 10.1016/0021-9673(93)80801-E
Torre, M., Rodriguez, A. R., and Sauracalixto, F. (1992). "Study of the interactions of calcium-ions with lignin, cellulose, and pectin, " J. Agric. Food Chem. 40(10), 1762-1766. DOI: 10.1021/jf00022a007
Tseng, R.-L., Wu, K. T., Wu, F. C., and Juang, R. S. (2010). "Kinetic studies on the adsorption of phenol, 4-chlorophenol, and 2, 4-dichlorophenol from water using activated carbons, " J. Environ. Manag. 91(11), 2208-2214. DOI: 10.1016/j.jenvman.2010.05.018
Ujhelyiova, A., Bolhova, E., Oravkinova, J., Tino, R., and Marcincin, A. (2007). "Kinetics of dyeing process of blend polypropylene/polyester fibres with disperse dye, " Dyes Pigments 72(2), 212-216. DOI: 10.1016/j.dyepig.2005.08.026
Vadivelan, V., and Kumar, K. V. (2005). "Equilibrium, kinetics, mechanism, and process design for the sorption of methylene blue onto rice husk, " J. Colloid Interface Sci. 286(1), 90-100. DOI: 10.1016/j.jcis.2005.01.007
Vallance, C. (2017). Introduction to Chemical Kinetics, IOP Publ. Ltd. DOI: 10.1088/978-1-6817-4664-7
Vanbrakel, J., and Heertjes, P. M. (1974). "Analysis of diffusion in macroporous media in terms of a porosity, a tortuosity and a constrictivity factor, " Int. J. Heat Mass Trans. 17(9), 1093-1103. DOI: 10.1016/0017-9310(74)90190-2
Varadarajan, G., and Venkatachalam, P. (2016). "Sustainable textile dyeing processes, " Environ. Chem. Lett. 14(1), 113-122. DOI: 10.1007/s10311-015-0533-3
Vázquez, C., Mosquera, O., Freire, M. S., Antorrena, G., González-Álvarez, J. (2012). "Alkaline pretreatment of waste chestnut shell from a food industry to enhance cadmium, copper, lead, and zinc ions removal, " Chem. Eng. J. 184, 147-155. DOI: 10.1016/j.cej.2012.01.019
Vijayaraghavan, K., and Yun, Y. S. (2007). "Chemical modification and immobilization of Corynebacterium glutamicum for biosorption of Reactive Black 5 from aqueous solution, " Indust. Eng. Chem. Res. 46(2), 608-617. DOI: 10.1021/ie061158g
Wachinski, A. M. (2017). Environmental Ion Exchange: Principles and Design, CRC Press, Taylor and Francis, Boca Raton, FL. DOI: 10.1201/9781315368542
Wågberg, L., Ödberg, L., Lindström, T., and Aksberg, R. (1988). "Kinetics of adsorption and ion-exchange reactions during adsorption of cationic poly-electrolytes onto cellulosic fibers, " J. Colloid Interface Sci. 123(1), 287-295. DOI: 10.1016/0021-9797(88)90245-7
Wang, B., and Shi, B. L. (2010). "Comparison of surface tension components and Hansen solubility parameters theories. Part I: Explanation of protein adsorption on polymers, " J. Macromol. Sci. Part B-Phys. 49(2), 383-391. DOI: 10.1080/00222340903356253
Wang, C., and Luo, M. B. (2007). "Effect of interchain interactions on the translocation of polymer chains through small holes, " J. Appl. Polymer Sci. 103(2), 1200-1205. DOI: 10.1002/app.25381
Wang, Z. M., and Giammar, D. E. (2013). "Mass action expressions for bidentate adsorption in surface complexation modeling: Theory and practice, " Environ. Sci. Technol. 47(9), 3982-3996. DOI: 10.1021/es305180e
Waranusantigul, P., Pokethitiyook, P., Kruatrachue, M., and Upatham, E. S. (2003). "Kinetics of basic dye (methylene blue) biosorption by giant duckweed (Spirodela polyrrhiza), " Environmental Pollution 125, 385-392. DOI: 10.1016/S0269-7491(03)00107-6
Watanabe, U., Norimoto, M., and Morooka, T. (2000). "Cell wall thickness and tangential Young's modulus in coniferous early wood, " J. Wood Sci. 46(2), 109-114. DOI: 10.1007/BF00777356
Weber, Jr., W. J., and Morris, J. C. (1963). "Kinetics of adsorption on carbon from solution, " J. Sanit. Eng. Div. Am. Soc. Civ. Eng. 89, 31-60.
Wolterink, J. K., Barkema, G. T., and Panja, D. (2006). "Passage times for unbiased polymer translocation through a narrow pore, " Phys. Rev. Let. 96(20), article 208301. DOI: 10.1103/PhysRevLett.96.208301
Wu, F. C., Tseng, R. L., Huang, S. C., and Juang, R. S. (2009a). "Characteristics of pseudo-second-order kinetic model for liquid-phase adsorption: A mini-review, " Chem. Eng. J. 151, 1-9. DOI: 10.1016/j.cej.2009.02.024
Wu, N., Hubbe, M. A., Rojas, O. J., and Park, S. (2009b). "Permeation of polyelectrolytes and other solutes into the pore spaces of water-swollen cellulose: A review, " BioResources 4(3), 1222-1262.
Xing, Y., and Deng, D. H. (2009). "Enhanced adsorption of malachite green by EDTAD-modified sugarcane bagasse, " Separ. Sci. Technol. 44(9), 2117-2131. DOI: 10.1080/01496390902775588
Yagub, M. T., Sen, T. K., Afroze, S., and Ang, H. M. (2014). "Dye and its removal from aqueous solution by adsorption: A review, " Adv. Colloid Interface Sci. 209, 172-184. DOI: 10.1016/j.cis.2014.04.002
Yahya, M. A., Al-Qodah, Z., and Ngah, C. W. Z. (2015). "Agricultural bio-waste materials as potential sustainable precursors used for activated carbon production: A review, " Renew. Sustain. Energy Rev. 46, 218-235. DOI: 10.1016/j.rser.2015.02.051
Zhang, H. Y., Chen, L. J., Lu, M. S., Li, J. B., and Han, L. J. (2016). "A novel film-pore-surface diffusion model to explain the enhanced enzyme adsorption of corn stover pretreated by ultrafine grinding, " Biotech. Biofuels 9, article no. 181. DOI: 10.1186/s13068-016-0602-2