Linear and Non-linear Regression Methods to Study the Adsorption of Cr(VI) from an Aqueous Solution Using Pomegranate Peel

Authors

  • Salah M. Abdullah Polymer Research Unit, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ. https://orcid.org/0000-0002-9312-9297
  • Aseel F. Alwan Polymer Research Unit, College of Science, Mustansiriyah University, 10052 Baghdad, IRAQ.
  • Atheer M. Majeed Department of Media, College of Art, Mustansiriyah University, 10052 Baghdad, IRAQ.
  • Enageh T. A. Abdalgader Department of Chemistry, College of Education Janzour, University of Tripoli, Janzour, Libya.

DOI:

https://doi.org/10.23851/mjs.v34i4.1340

Keywords:

Chromium (VI), pomegranate peel, linear regression, non-linear regression, error functions, adsorption

Abstract

In this study, the previous data of the adsorption of Chromium (VI) ions on the pomegranate peels (MPGP) as adsorbents were used. linear and non-linear equations for Langmuir, Freundlich, Dubinin-Radushkevich, Tempkin, Redlich-Peterson, Sips, and Toth adsorption isotherm models were applied. The five error functions ERRSQ, HYBRD, MPSD, ARE, and EABS were analyzed for non-linear isotherm equations and in each case a set of isotherm parameters were determined. The algorithms for the simulation of linear and non-linear isotherm models using error functions were achieved with the aid of Microsoft Excel solver Add-Ins for minimizing the respective error function across the concentration range studied. Linear and non-linear methods show comparable data for two-parameter models, also high R2 values were obtained for Langmuir, Freundlich, and Temkin models while the Dubinin-Radushkevich model reveals low R2 values, on the contrary, three-parameter models show different data between linear and non-linear methods with high R2 value for all. Which indicates that the error does not obey the Gaussian distribution.

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References

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Published

30-12-2023

Submission Dates

Received

12/03/2023

Revised

27/04/2023

Accepted

07/06/2023

How to Cite

[1]
S. M. Abdullah, A. F. . Alwan, A. M. . Majeed, and E. T. A. . Abdalgader, “Linear and Non-linear Regression Methods to Study the Adsorption of Cr(VI) from an Aqueous Solution Using Pomegranate Peel”, Al-Mustansiriyah Journal of Science, vol. 34, no. 4, pp. 58–65, Dec. 2023.

Issue

Section

Chemical Science

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