Везде

RAS PresidiumВестник Дальневосточного отделения Российской академии наук Vestnik of the Far East Branch of the Russian Academy of Sciences

  • ISSN (Print) 0869-7698
  • ISSN (Online) 3034-5308

Modeling of sorption equilibria: state of the art and prospects of models development for heterogeneous sorbents

You can
PII
10.31857/S0869769824060093-1
DOI
10.31857/S0869769824060093
Publication type
Review
Status
Published
Authors
А. P. Golikov
  • Occupation: Candidate of Sciences in Chemistry, Senior Researcher
  • Affiliation: Institute of Chemistry, FEB RAS
I. A. Malakhova
  • Occupation: Candidate of Sciences in Chemistry, Junior Researcher
  • Affiliation: Institute of Chemistry, FEB RAS
S. Yu. Bratskaya
  • Occupation: Doctor of Sciences in Chemistry, Chief Researcher
  • Affiliation: Institute of Chemistry, FEB RAS
Volume/ Edition
Volume / Issue number 6
Pages
127-143
Abstract
For many years, adsorption remains one of the most universal and cost-effective approaches to purifying waters of various compositions and extracting valuable components from technological solutions. In addition to affinity, selectivity, and high sorption capacity, the kinetic characteristics of sorbents are of great importance, since they determine the productivity of both industrial sorption columns and small point-of-use filters operating at high flow rates. This review discusses the current state of the art in modeling sorption dynamics and a new approach to analysis of sorption equilibria using the model of sorption/desorption rate constants distribution (RCD) for heterogeneous sorbents developed at the Institute of Crystallography FEB RAS for predictive modeling of breakthrough curves based on the kinetic parameters of sorption centers (RCD functions) calculated from experimental data obtained under static conditions. Using as the example supermacroporous sorbents based on polyethyleneimine, it was shown how the RCD model and its variants, which take into account diffusion limitations and the presence of complexing agents, can be used to optimize conditions for the metal ions concentration and separation under dynamic conditions.
Keywords
сорбция кинетика уравнение Ленгмюра предиктивное моделирование
Date of publication
05.12.2024
Year of publication
2024
Number of purchasers
0
Views
43

References

  1. 1. Nandanwar S.U., Coldsnow K., Utgikar V., Sabharwall P., Eric Aston D. Capture of harmful radioactive contaminants from off-gas stream using porous solid sorbents for clean Environmen: A review // Chem. Eng. J. 2016. Vol. 306. P. 369–381. https://doi.org/10.1016/j.cej.2016.07.073.
  2. 2. Tofik A.S., Taddesse A.M., Tesfahun K.T., Girma G.G. Fe–Al binary oxide nanosorbent: Synthesis, characterization and phosphate sorption property // J. Environ. Chem. Eng. 2016. Vol. 4. P. 2458–2468. https://doi.org/10.1016/j.jece.2016.04.023.
  3. 3. Bagheri H., Asgharinezhad A.A., Ebrahimzadeh H. Determination of trace amounts of Cd(II), Cu(II), and Ni(II) in food samples using a novel functionalized magnetic Nanosorbent // Food Anal. Methods. 2016. Vol. 9. P. 876–888. https://doi.org/10.1007/s12161-015-0264-x.
  4. 4. Crini G., Badot P.M. Application of chitosan, a natural aminopolysaccharide, for dye removal from aqueous solutions by adsorption processes using batch studies: A review of recent literature // Prog. Polym. Sci. 2008. Vol. 33. P. 399–447. https://doi.org/10.1016/j.progpolymsci.2007.11.001.
  5. 5. Tan K.L., Hameed B.H. Insight into the adsorption kinetics models for the removal of contaminants from aqueous solutions // J. Taiwan Inst. Chem. Eng. 2017. Vol. 74. P. 25–48. https://doi.org/10.1016/j.jtice.2017.01.024.
  6. 6. Alberti G., Amendola V., Pesavento M., Biesuz R. Beyond the synthesis of novel solid phases: Review on modelling of sorption phenomena // Coord. Chem. Rev. 2012. Vol. 256. P. 28–45. https://doi.org/10.1016/j.ccr.2011.08.022.
  7. 7. Ma A., Abushaikha A., Allen S.J., McKay G. Ion exchange homogeneous surface diffusion modelling by binary site resin for the removal of nickel ions from wastewater in fixed beds // Chem. Eng. J. 2019. Vol. 358. 135. https://doi.org/10.1016/j.cej.2018.09.135.
  8. 8. Dadwhal M., Ostwal M.M., Liu P.K.T., Sahimi M., Tsotsis T.T. Adsorption of arsenic on conditioned layered double hydroxides: Column experiments and modeling // Ind. Eng. Chem. Res. 2009. Vol. 48. P. 2076–2084. https://doi.org/10.1021/ie800878n.
  9. 9. Sperlich A., Schimmelpfennig S., Baumgarten B., Genz A., Amy G., Worch E., Jekel M. Predicting anion breakthrough in granular ferric hydroxide (GFH) adsorption filters // Water Res. 2008. Vol. 42. P. 2073–2082. https://doi.org/10.1016/j.watres.2007.12.019.
  10. 10. Chu K.H. Fixed bed sorption: Setting the record straight on the Bohart–Adams and Thomas models // J. Hazard. Mater. 2010. Vol. 177. P. 1006–1012. https://doi.org/10.1016/j.jhazmat.2010.01.019.
  11. 11. Lagergren S. Zur Theorie der sogenannten Adsorption Geloster Stoffe // K. Sven. vetensk. akad. handl.1898. Vol. 24. P. 1–39.
  12. 12. Хамизов Р.Х. О кинетическом уравнении псевдовторого порядка в сорбционных процессах // Журнал физической химии. 2020. Т. 94. С. 125–130. https://doi.org/10.31857/s0044453720010148.
  13. 13. Douven S., Paez C.A., Gommes C.J. The range of validity of sorption kinetic models // J. Colloid Interface Sci. 2015. Vol. 448. P. 437–450. https://doi.org/10.1016/j.jcis.2015.02.053.
  14. 14. Malash G.F., El-Khaiary M.I. Piecewise linear regression: A statistical method for the analysis of experimental adsorption Data by the intraparticle-diffusion models // Chem. Eng. J. 2010. Vol. 163. P. 256–263. https://doi.org/10.1016/j.cej.2010.07.059.
  15. 15. Hu Q., Xie Y., Feng C., Zhang Z. Fractal-like kinetics of adsorption on heterogeneous surfaces in the fixed-bed column // Chem. Eng. J. 2019. Vol. 358. P. 1471–1478. https://doi.org/10.1016/j.cej.2018.10.165.
  16. 16. Hu Q., Xie Y., Feng C., Zhang Z. Prediction of breakthrough behaviors using logistic, hyperbolic tangent and double exponential models in the fixed-bed column // Sep. Purif. Technol. 2019. Vol. 212. P. 572–579. https://doi.org/10.1016/j.seppur.2018.11.071.
  17. 17. Chu K.H. Breakthrough curve analysis by simplistic models of fixed bed adsorption: In defense of the century-old Bohart–Adams model // Chem. Eng. J. 2020. Vol. 380. 122513. https://doi.org/10.1016/j.cej.2019.122513.
  18. 18. Długosz O., Banach M. Sorption of Ag+ and Cu2+ by vermiculite in a fixed-bed column: Design, process optimization and dynamics investigations // Appl. Sci. 2018. Vol. 8. 2221. https://doi.org/10.3390/app8112221.
  19. 19. Figaro S., Avril J.P., Brouers F., Ouensanga A., Gaspard S. Adsorption studies of molasse’s wastewaters on activated carbon: Modelling with a new fractal kinetic equation and evaluation of kinetic models // J. Hazard. Mater. 2009. Vol. 161. P. 649–656. https://doi.org/10.1016/j.jhazmat.2008.04.006.
  20. 20. Park H.-J., Tavlarides L.L. Adsorption of chromium(VI) from aqueous solutions using an imidazole functionalized adsorbent // Ind. Eng. Chem. Res. 2008. Vol. 47. P. 3401–3409. https://doi.org/10.1021/ie7017096.
  21. 21. Marczewski A.W., Deryło-Marczewska A., Słota A. Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons // Adsorption. 2013. Vol. 19. P. 391–406. https://doi.org/10.1007/s10450-012-9462-7.
  22. 22. Bohart G.S., Adams E.Q. Some aspects of the behavior of charcoal with respect to chlorine // J. Franklin Inst. 1920. Vol. 189. P. 669. https://doi.org/10.1016/s0016-0032 (20)90400-3.
  23. 23. Azizian S. A novel and simple method for finding the heterogeneity of adsorbents on the basis of adsorption kinetic data // J. Colloid Interface Sci. 2006. Vol. 302. P. 76–81. https://doi.org/10.1016/j.jcis.2006.06.034.
  24. 24. Kuan W.H., Lo S.L., Chang C.M., Wang M.K. A geometric approach to determine adsorption and desorption kinetic constants // Chemosphere. 2000. Vol. 41. P. 1741–1747. https://doi.org/10.1016/S0045-6535 (00)00054-0.
  25. 25. Novak L.T., Adriano D.C. Phosphorus movement in soils: 1. Soil-orthophosphate reaction kinetics // J. Environ. Qual. 1975. Vol. 4. P. 261. https://doi.org/10.2134/jeq1975.00472425000400020028x.
  26. 26. Liu Y., Shen L. From Langmuir kinetics to first- and second-order rate equations for adsorption // Langmuir. 2008. Vol. 24. P. 11625–11630. https://doi.org/10.1021/la801839b.
  27. 27. Zhang J. Physical insights into kinetic models of adsorption // Sep. Purif. Technol. 2019. Vol. 229. 115832. https://doi.org/10.1016/j.seppur.2019.115832.
  28. 28. Salvestrini S. Analysis of the Langmuir rate equation in its differential and integrated form for adsorption processes and a comparison with the pseudo first and pseudo second order models // React. Kinet. Mech. Catal. 2018. Vol. 123. P. 455–472. https://doi.org/10.1007/s11144-017-1295-7.
  29. 29. Svitel J., Balbo A., Mariuzza R.A., Gonzales N.R., Schuck P. Combined affinity and rate constant distributions of ligand populations from experimental surface binding kinetics and equilibria // Biophys. J. 2003. Vol. 84. P. 4062–4077. https://doi.org/10.1016/S0006-3495 (03)75132-7.
  30. 30. Kirchner G., Baumgartner D. Migration rates of radionuclides deposited after the Chernobyl Accident in various North German soils // Analyst. 1992. Vol. 117. P. 475. https://doi.org/10.1039/an9921700475.
  31. 31. Garnier J.-M., Ciffroy P., Benyahya L. Implications of short and long term (30 days) sorption on the desorption kinetic of trace metals (Cd, Zn, Co, Mn, Fe, Ag, Cs) associated with river suspended matter // Sci. Total Environ. 2006. Vol. 366. P. 350–360. https://doi.org/10.1016/j.scitotenv.2005.07.015.
  32. 32. Choi H., Al-Abed S.R. PCB congener sorption to carbonaceous sediment components: Macroscopic comparison and characterization of sorption kinetics and mechanism // J. Hazard. Mater. 2009. Vol. 165. P. 860–866. https://doi.org/10.1016/j.jhazmat.2008.10.100.
  33. 33. Monazam E.R., Shadle L.J., Miller D.C., Pennline H.W., Fauth D.J., Hoffman J.S., Gray M.L. Equilibrium and kinetics analysis of carbon dioxide capture using immobilized amine on a mesoporous silica // AIChE J. 2013. Vol. 59. P. 923–935. https://doi.org/10.1002/aic.13870.
  34. 34. Warrinnier R., Goossens T., Braun S., Gustafsson J.P., Smolders E. Modelling heterogeneous phosphate sorption kinetics on iron oxyhydroxides and soil with a continuous distribution approach // Eur. J. Soil Sci. 2018. Vol. 69. P. 475–487. https://doi.org/10.1111/ejss.12549.
  35. 35. Scott K.F. Extraction of rate constant distributions from heterogeneous chemical kinetics // J. Chem. Soc. Faraday Trans. 1. Phys. Chem. Condens. Phases. 1980. Vol. 76. P. 2065–2079. https://doi.org/10.1039/F19807602065.
  36. 36. Rudzinski W., Panczyk T. The Langmuirian adsorption kinetics revised: A farewell to the XXth century theories? // Adsorption. 2002. Vol. 8. P. 23–34. https://doi.org/10.1023/A:1015214406179.
  37. 37. Rietsch E. On an Alleged Breakdown of the Maximum-Entropy Principle. // Maximum-Entropy and Bayesian Methods in Inverse Problems. Dordrecht: Springer Netherlands, 1985. P. 67–82.
  38. 38. Phillips D.L.L.D. A technique for the numerical solution of certain integral equations of the first kind // J. ACM. 1962. Vol. 9. P. 84–97. https://doi.org/10.1145/321105.321114.
  39. 39. Golikov A., Malakhova I., Azarova Y., Eliseikina M., Privar Y., Bratskaya S. Extended Rate Constant Distribution model for sorption in heterogeneous systems. 1. Application to kinetics of metal ion sorption on polyethyleneimine cryogels // Ind. Eng. Chem. Res. 2020. Vol. 59. P. 1123–1134. https://doi.org/10.1021/acs.iecr.9b06000.
  40. 40. Malakhova I., Golikov A., Azarova Y., Bratskaya S. Extended Rate Constants Distribution (RCD) model for sorption in heterogeneous systems. 2. Importance of diffusion limitations for sorption kinetics on cryogels in batch // Gels. 2020. Vol. 6. 15. https://doi.org/10.3390/gels6020015.
  41. 41. Golikov A., Malakhova I., Privar Y., Parotkina Y., Bratskaya S. Extended Rate Constant Distribution model for sorption in heterogeneous systems. 3. From batch to fixed-bed application and predictive modeling // Ind. Eng. Chem. Res. 2020. Vol. 59. P. 19415–19425. https://doi.org/10.1021/acs.iecr.0c03516.
  42. 42. Golikov A., Privar Y., Balatskiy D., Polyakova N., Bratskaya S. Extended Rate Constants Distribution (RCD) model for sorption in heterogeneous systems. 4. Kinetics of metal ions sorption in the presence of complexing agents – application to Cu(II) sorption on polyethyleneimine cryogel from acetate and tartrate solutions // Int. J. Mol. Sci. 2023. Vol. 24. 12385. https://doi.org/10.3390/ijms241512385.
  43. 43. Malakhova I., Privar Y., Azarova Y., Eliseikina M., Golikov A., Skatova A., Bratskaya S. Supermacroporous monoliths based on polyethyleneimine: Fabrication and sorption Properties under static and dynamic conditions // J. Environ. Chem. Eng. 2020. Vol. 8. 104395. https://doi.org/10.1016/J.JECE.2020.104395.
  44. 44. Малахова И.А. Широкопористые монолитные материалы на основе полиэтиленимина: дис. … канд. хим. наук. Владивосток, 2022.
  45. 45. Lozinsky V.I., Galaev I.Y., Plieva F.M., Savina I.N., Jungvid H., Mattiasson B. Polymeric cryogels as promising materials of biotechnological Interest // Trends Biotechnol. 2003. Vol. 21. P. 445–451. https://doi.org/10.1016/j.tibtech.2003.08.002.
  46. 46. Baimenov A., Berillo D.A., Poulopoulos S.G., Inglezakis V.J. A review of cryogels synthesis, characterization and applications on the removal of heavy metals from aqueous solutions // Adv. Colloid Interface Sci. 2020. Vol. 276. 102088. https://doi.org/10.1016/j.cis.2019.102088.
QR
Translate

Индексирование

Scopus

Scopus

Scopus

Crossref

Scopus

Higher Attestation Commission

At the Ministry of Education and Science of the Russian Federation

Scopus

Scientific Electronic Library