Adsorption kinetics of Eu(III) and Am(III) onto bentonite: analysis and application of the liquid membrane tidal diffusion model

  • Tao YuEmail author
  • Zheting Xu
  • Jianhua Ye


A new liquid membrane tidal diffusion model (LMTD) was applied based on three assumptions to analyze the kinetics of Eu(III) adsorption on Ca-bentonite and Am(III) adsorption on Na-bentonite. The changes in adsorption quantities as a function of contact time presented the phenomenon of tidal fluctuation according to the experiments. The tidal fluctuation showed a periodic change, and the change period was slightly affected by temperature. An adsorption event includes at least one fluctuation and each fluctuation can be divided into three steps: liquid membrane diffusion, surface diffusion and internal diffusion. Each step consists of one to three processes: physical adsorption, physical desorption and chemical adsorption. The pseudo-first-order or pseudo-second-order kinetic model did not fit the experimental curves well at t = 6 h. The first-order reaction and the second-order reaction were introduced to establish the LMTD and to explain the adsorption steps and processes. This new kinetic model is helpful to better explain the mechanism of adsorption reactions.


Liquid membrane tidal diffusion Adsorption Kinetics Adsorption quantity 



This work was financially supported by the National Natural Science Foundation of China (21561001) and the Natural Science Foundation of Jiangxi Province, China (20161BAB203100).


  1. 1.
    Hamza MF, Roux JC, Guibal E (2018) Uranium and europium sorption on amidoxime-functionalized magnetic chitosan micro-particles. Chem Eng J 344:124–137CrossRefGoogle Scholar
  2. 2.
    Virtanen S, Meriläinen S, Eibl M, Rabung T, Lehto J, Huittinen N (2018) Sorption competition and kinetics of trivalent cations (Eu, Y and Cm) on corundum (α-Al2O3): a batch sorption and TRLFS study. Appl Geochem 92:71–81CrossRefGoogle Scholar
  3. 3.
    Wu CF, Cai YW, Xu L, Xie J, Liu ZY, Yang ST, Wang SA (2018) Macroscopic and spectral exploration on the removal performance of pristine and phytic acid-decorated titanate nanotubes towards Eu(III). J Environ Chem Eng 6:842–848CrossRefGoogle Scholar
  4. 4.
    Rahmani-Sani A, Hosseini-Bandegharaei A, Hosseini SH, Kharghani K, Zarei H, Rastegar A (2015) Kinetic, equilibrium and thermodynamic studies on sorption of uranium and thorium from aqueous solutions by a selective impregnated resin containing carminic acid. J Hazard Mater 286:152–163CrossRefGoogle Scholar
  5. 5.
    Idris SAM (2015) Adsorption, kinetic and thermodynamic studies for manganese extraction from aqueous medium using mesoporous silica. J Colloid Interface Sci 440:84–90CrossRefGoogle Scholar
  6. 6.
    Hao WQ, Di B, Chen Q, Wang JD, Yang YB, Yue BY (2015) Development of the Wade equation for the description of elution peak profile by using second-order rate equations for the sorption kinetics. Chem Eng Res Des 96:15–22CrossRefGoogle Scholar
  7. 7.
    Cai YB, Mi YT, Zhang H (2016) Kinetic modeling of antimony(III) oxidation and sorption in soils. J Hazard Mater 316:102–109CrossRefGoogle Scholar
  8. 8.
    Samokhvalov A (2018) Aluminum metal–organic frameworks for sorption in solution: a review. Coord Chem Rev 374:236–253CrossRefGoogle Scholar
  9. 9.
    Chen YG, Jia LY, Ye WM, Chen B, Cui YJ (2016) Advances in experimental investigation on hydraulic fracturing behavior of bentonite-based materials used for HLW disposal. Environ Earth Sci 75:787–800CrossRefGoogle Scholar
  10. 10.
    Ho YS, McKay G (1999) Pseudo-second order model for sorption processes. Process Biochem 34:451–465CrossRefGoogle Scholar
  11. 11.
    Wang XX, Sun YB, Alsaedi A, Hayat T, Wang XK (2015) Interaction mechanism of Eu(III) with MX-80 bentonite studied by batch, TRLFS and kinetic desorption techniques. Chem Eng J 264:570–576CrossRefGoogle Scholar
  12. 12.
    Zhang JY, Wu CD, Jia AY, Hu B (2014) Kinetics, equilibrium and thermodynamics of the sorption of p-nitrophenol on two variable charge soils of Southern China. Appl Surf Sci 298:95–101CrossRefGoogle Scholar
  13. 13.
    Yao CC, Chen TJ (2015) A new simplified method for estimating film mass transfer and surface diffusion coefficients from batch adsorption kinetic data. Chem Eng J 265:93–99CrossRefGoogle Scholar
  14. 14.
    Chawla A, Prasad M, Goswami R, Ranshore S, Kulshreshtha A, Sinha ASK (2016) Kinetic model for sorption of divalent heavy metal ions on low cost minerals. Korean J Chem Eng 33:649–656CrossRefGoogle Scholar
  15. 15.
    Coenen K, Gallucci F, Hensen E, van Sint AM (2019) Kinetic model for adsorption and desorption of H2O and CO2 on hydrotalcite-based adsorbents. Chem Eng J 355:520–531CrossRefGoogle Scholar
  16. 16.
    Wissocq A, Beaucaire C, Latrille C (2017) Ca and Sr sorption on Ca-illite: experimental study and modeling. Procedia Earth Planet Sci 17:662–665CrossRefGoogle Scholar
  17. 17.
    Li XD, Puhakka E, Ikonen J, Söderlund M, Lindberg A, Holgersson S, Martin A, Siitari-Kauppi M (2018) Sorption of Se species on mineral surfaces, part I: batch sorption and multisite modeling. Appl Geochem 95:147–157CrossRefGoogle Scholar
  18. 18.
    Li P, Liu Z, Ma F, Shi QL, Guo ZJ, Wu WS (2015) Effects of pH, ionic strength and humic acid on the sorption of neptunium(V) to Na-bentonite. J Mol Liq 206:285–292CrossRefGoogle Scholar
  19. 19.
    Xu CH, Tang WJ, Du JM (2014) A nonlinear isotherm model for sorption of anionic dyes on cellulose fibers: a case study. Carbohydr Polym 102:808–812CrossRefGoogle Scholar
  20. 20.
    Chowdhury S, Saha P (2010) Pseudo-second-order kinetic model for biosorption of methylene blue onto tamarind fruit shell: comparison of linear and nonlinear methods. Bioremed J 14:196–207CrossRefGoogle Scholar
  21. 21.
    Shahwan T (2014) Sorption kinetics: obtaining a pseudo-second order rate equation based on a mass balance approach. J Environ Chem Eng 2:1001–1006CrossRefGoogle Scholar
  22. 22.
    Schwab F, Camenzuli L, Knauer K, Nowack B, Magrez A, Sigg L, Bucheli TD (2014) Sorption kinetics and equilibrium of the herbicide diuron to carbon nanotubes or soot in absence and presence of algae. Environ Pollut 192:147–153CrossRefGoogle Scholar
  23. 23.
    Yu T, Wu WS, Liu ZR, Zhang SW (2012) Sorption of Eu(III) on Ca-bentonite: effect of pH, ionic strength and humic acid. Res J Chem Environ 16:4–10Google Scholar
  24. 24.
    Yu T, Wu WS, Fan QH (2012) Sorption of Am(III) on Na-bentonite: effect of pH, ionic strength, temperature and humic acid. Chin Chem Lett 23:1189–1192CrossRefGoogle Scholar
  25. 25.
    Basu T, Ghosh UC (2013) Nano-structured iron(III)–cerium(IV) mixed oxide: synthesis, characterization and arsenic sorption kinetics in the presence of co-existing ions aiming to apply for high arsenic groundwater treatment. Appl Surf Sci 283:471–481CrossRefGoogle Scholar
  26. 26.
    Cui L, Guo XY, Wei Q, Wang YG, Gao L, Yan LG, Yan T, Du B (2015) Removal of mercury and methylene blue from aqueous solution by xanthate functionalized magnetic graphene oxide: sorption kinetic and uptake mechanism. J Colloid Interface Sci 439:112–120CrossRefGoogle Scholar
  27. 27.
    Ghasemi M, Khosroshahy MZ, Abbasabadi AB, Ghasemi N, Javadian H, Fattahi M (2015) Microwave-assisted functionalization of Rosa Canina-L fruits activated carbon with tetraethylenepentamine and its adsorption behavior toward Ni(II) in aqueous solution: kinetic, equilibrium and thermodynamic studies. Powder Technol 274:362–371CrossRefGoogle Scholar
  28. 28.
    Caceres L, Escudey M, Fuentes E, Baez ME (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 179:795–803CrossRefGoogle Scholar
  29. 29.
    Wei H, Zhang WH, Zhuang LW, Wang SZ, Tsang DCW, Qiu RL (2018) Two-stage multi-fraction first-order kinetic modeling for soil Cd extraction by EDTA. Chemosphere 211:1035–1042CrossRefGoogle Scholar
  30. 30.
    Eljamal O, Sasaki K, Tsuruyama S, Hirajima T (2011) Kinetic model of arsenic sorption onto zero-valent iron (ZVI). Water Qual Expo Health 2:125–132CrossRefGoogle Scholar
  31. 31.
    Chen YG, Sun Z, Ye WM, Cui YJ (2017) Adsorptive removal of Eu(III) from simulated groundwater by GMZ bentonite on the repository conditions. J Radioanal Nucl Chem 311:1839–1847CrossRefGoogle Scholar
  32. 32.
    Chen YG, Jia LY, Niu LH, Ye WM, Chen B, Cui YJ (2016) Effect of dry density and pH on the diffusion behavior of lanthanum in compacted Chinese GMZ bentonite. J Radioanal Nucl Chem 310:1303–1310CrossRefGoogle Scholar
  33. 33.
    Chen YG, He Y, Ye WM, Ji LY (2015) Competitive adsorption characteristics of Na(I)/Cr(III) and Cu(II)/Cr(III) on GMZ bentonite in their binary solution. J Ind Eng Chem 26:335–339CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Fundamental Science on Radioactive Geology and Exploration Technology LaboratoryEast China University of TechnologyNanchangChina
  2. 2.School of Nuclear Science and EngineeringEast China University of TechnologyNanchangChina

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