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

Y.S. Ho, G. McKay, "The kinetics of sorption of basic dyes from aqueous solutions by sphagnum moss peat", J. Chem. Eng. vol. 76, pp. 822-826,1998.

CrossRef

G. Walker, L. Hansen, J. Hanna, "Kinetics of a Reactive Dye Adsorption onto Dolomitic Sorbents", Water Res, vol.37,pp. 2081-2089, 2003.

CrossRef | PubMed

G. McKay, S. Allen, I. McConvey, "Transport processes in the sorption of colored ions by peat particles," Journal of Colloid Interface Science. vol.80,pp.323-339,1981.

CrossRef

S.J. Allen, G. McKay, "Surface mass transfer processes using peat as an adsorbent for dyestuffs," Journal of Chemical Engineering, vol.58, pp.521-526,1980.

CrossRef

S. Ismadji, S.K. Bhatia, "Adsorption of flavour esters on granular activated Carbon," Journal of Chemical Engineering, vol. 78, pp. 892-901, 2000.

CrossRef

K. V. Kumar, S. Sivanesan, "Pseudo second order kinetics and pseudo isotherms for malachite green onto activated carbon: Comparison of linear and non-linear regression methods," Journal of Hazardous Material, vol. 136, pp.721-726, 2006.

CrossRef | PubMed

K. V.Kumar, "Optimum Sorption Isotherm by Linear and Non- Linear Methods for Malachite Green onto Lemon Peel,'' Dyes and Pigments, vol. 74, pp.595-597,2007.

CrossRef

D. W. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," Journal of Society for industrial and applied. Mathimatics," vol. 11, pp. 431-44, 1963.

CrossRef

A.Kapoor, R.T. Yang,"Correlation of equilibrium adsortpion data of condensible vapours on porous adsorbents,"Gas Separation and Purification," vol.3, pp.187-192,1989.

CrossRef

T.S.Najim, S. Yasin, "Removal of Chromium from Aqueous Solution Using Modified Pomegranate Peel: Mechanistic Thermodynamic Studies," E-Journal of Chemistry, (S1), vol. 6, S153-S158 ,2009.

CrossRef

Y. S. Ho, J. F. Porter, and G. Macay," Equilibrium isotherm studies for the sorption of divalent metal ions Onto peat : Copper, Nickel and Lead single component systems," Water,Air&Soil Pollution," vol. 141, pp.1-33, 2002.

J. Wang, X. Guo "Adsorption isotherm models: Classification, physical meaning, application and solving Method," Chemosphere, vol.258, 127279, 2020.

CrossRef | PubMed

L. T. Popoola, A. S. Yusuff, O. A. Adesina and M. A. Lala," Brilliant Green Dye Sorption onto Snail Shell-rice Husk: Statisticaland Error Function Models as Parametric Isotherm Predictors," Journal of Environmental Science and Technology, vol.12, pp.65-80, 2019.

CrossRef

M. A. Al-Ghouti, D. A. Da'ana, "Guidelines for the use and interpretation of adsorption isotherm models: A review," Journal of Hazardous Material, vol.393, 12238, 2020.

CrossRef | PubMed

M.R. Kooh,. M. K. Dahri. L. B. Lim, "The removal of rhodamine B dye from aqueous solution using Casuarina equisetifolia needles as adsorbent," Cogent Environmental Science,vol. 2,pp.1-14,2016.

CrossRef

Key Dates

Published

30-12-2023

Issue

Section

Original Article

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 J. Sci., vol. 34, no. 4, pp. 58–65, Dec. 2023, doi: 10.23851/mjs.v34i4.1340.

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