Arabian Journal for Science and Engineering

, Volume 44, Issue 1, pp 159–168 | Cite as

Optimal Pseudo-Average Order Kinetic Model for Correlating the Removal of Nickel Ions by Adsorption on Nanobentonite

  • Fadi AlakhrasEmail author
  • Noureddine Ouerfelli
  • Ghassab Al-Mazaideh
  • Taher Ababneh
  • Eman Al-Abbad
  • Fatma Abouzeid
Research Article - Chemistry


Batch kinetic experiments were performed for the sorption of nickel ions onto nanobentonite. The kinetic data were adjusted with pseudo-first-order and pseudo-second-order kinetics by linear and nonlinear regressions in addition to some fixed suggested fractional orders \(1/2 \le n \le 5/2\). The removal process was found to be well explained by nonlinear pseudo-second-order kinetic expression with 0.5222 mg \(\hbox {g}^{-1}\) standard deviation, whereas linear regression is improper method for obtaining the kinetic parameters of the studied models specially at lower order values. The kinetic rate constants were increased with the value of the prefixed reaction pseudo-order giving optimal pseudo-average order equal to 3.522 with standard deviation 0.0815 mg \(\text {g}^{-1}\). This optimal value is estimated at infinite time which is physically become closer to the reality of the studied system. Nevertheless, the theoretical removal capacity (22.95 mg \(\text {g}^{-1})\) calculated by optimal order value is greater than the experimental one (19.15 mg \(\text {g}^{-1})\). This behavior can be attributed to the rapidity of the process to reach the equilibrium state.


Nickel removal Kinetic modeling Pseudo-first order Pseudo-second order Fractional order 


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Conflict of interest

No potential conflict of interest was reported by the co-authors.

Supplementary material

13369_2018_3304_MOESM1_ESM.pdf (129 kb)
Supplementary material 1 (pdf 129 KB)


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Copyright information

© King Fahd University of Petroleum & Minerals 2018

Authors and Affiliations

  1. 1.Department of Chemistry, College of ScienceImam Abdulrahman Bin Faisal UniversityDammamSaudi Arabia
  2. 2.University of Tunis El Manar, Laboratory of Biophysics and Medical Technology LR13ES07TunisTunisia
  3. 3.Department of Chemistry and Chemical Technology, Faculty of ScienceTafila Technical UniversityTafilaJordan
  4. 4.Chemistry Department, Faculty of ScienceAlexandria UniversityMoharram Beck, AlexandriaEgypt

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