Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite

Mostafa Ragab Abukhadra; Moaaz Korany Seliem; Essam Abdel Rahaman Mohamed; Ali Quarny Selim; Mahmoud Helmy Mahmoud

doi:doi:10.11648/j.ajac.20150306.11

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Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite

Mostafa Ragab Abukhadra, Moaaz Korany Seliem, Essam Abdel Rahaman Mohamed, Ali Quarny Selim, Mahmoud Helmy Mahmoud

Published in American Journal of Applied Chemistry (Volume 3, Issue 6)

Received: 23 September 2015 Accepted: 9 October 2015 Published: 22 October 2015

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Abstract

The natural Egyptian bentonite, collected from south El Hammam area, was modified at three different temperatures 100°C, 200°C and 300°C for 1 h. The raw and modified bentonite samples were characterized by powder X-ray diffraction (XRD), scanning electron microscope (SEM) and BET surface area. The bentonite modified at 100°C exhibited more flaky grains with smooth surface and high surface area as compared to the two other modified types. Response surface methodology in conjunction with central composite rotatable design was used in optimizing and modeling the effect of different parameters such as contact time, initial concentration and dose on the removal of iron ions. Second order quadratic polynomial model was selected to represent the removal process. The mathematical equations of quadratic polynomial model were derived from Design Expert Software (Version 6.0.5). The predicted values from the mathematical equations were highly correlated with the experimental results (R² above 0.9) for the required responses in untreated and modified bentonite at 100°C for 1 h. 3D and linear graphs were used to understand the effect of the studied variable parameters and the interaction between them. Under the predicted conditions suggested by the quadratic programming, the modified bentonite at 100°C is more promising and the removal efficiency could be enhanced to 100%. The quadratic polynomial model could be efficiently applied for the modeling of iron removal from aqueous solutions by bentonite.

Published in	American Journal of Applied Chemistry (Volume 3, Issue 6)
DOI	10.11648/j.ajac.20150306.11
Page(s)	179-187
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Quadratic Polynomial, Bentonite, Thermal Modification, Heavy Metals

References

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APA Style

Mostafa Ragab Abukhadra, Moaaz Korany Seliem, Essam Abdel Rahaman Mohamed, Ali Quarny Selim, Mahmoud Helmy Mahmoud. (2015). Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. American Journal of Applied Chemistry, 3(6), 179-187. https://doi.org/10.11648/j.ajac.20150306.11

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ACS Style

Mostafa Ragab Abukhadra; Moaaz Korany Seliem; Essam Abdel Rahaman Mohamed; Ali Quarny Selim; Mahmoud Helmy Mahmoud. Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. Am. J. Appl. Chem. 2015, 3(6), 179-187. doi: 10.11648/j.ajac.20150306.11

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AMA Style

Mostafa Ragab Abukhadra, Moaaz Korany Seliem, Essam Abdel Rahaman Mohamed, Ali Quarny Selim, Mahmoud Helmy Mahmoud. Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. Am J Appl Chem. 2015;3(6):179-187. doi: 10.11648/j.ajac.20150306.11

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@article{10.11648/j.ajac.20150306.11,
  author = {Mostafa Ragab Abukhadra and Moaaz Korany Seliem and Essam Abdel Rahaman Mohamed and Ali Quarny Selim and Mahmoud Helmy Mahmoud},
  title = {Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite},
  journal = {American Journal of Applied Chemistry},
  volume = {3},
  number = {6},
  pages = {179-187},
  doi = {10.11648/j.ajac.20150306.11},
  url = {https://doi.org/10.11648/j.ajac.20150306.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajac.20150306.11},
  abstract = {The natural Egyptian bentonite, collected from south El Hammam area, was modified at three different temperatures 100°C, 200°C and 300°C for 1 h. The raw and modified bentonite samples were characterized by powder X-ray diffraction (XRD), scanning electron microscope (SEM) and BET surface area. The bentonite modified at 100°C exhibited more flaky grains with smooth surface and high surface area as compared to the two other modified types. Response surface methodology in conjunction with central composite rotatable design was used in optimizing and modeling the effect of different parameters such as contact time, initial concentration and dose on the removal of iron ions. Second order quadratic polynomial model was selected to represent the removal process. The mathematical equations of quadratic polynomial model were derived from Design Expert Software (Version 6.0.5). The predicted values from the mathematical equations were highly correlated with the experimental results (R2 above 0.9) for the required responses in untreated and modified bentonite at 100°C for 1 h. 3D and linear graphs were used to understand the effect of the studied variable parameters and the interaction between them. Under the predicted conditions suggested by the quadratic programming, the modified bentonite at 100°C is more promising and the removal efficiency could be enhanced to 100%. The quadratic polynomial model could be efficiently applied for the modeling of iron removal from aqueous solutions by bentonite.},
 year = {2015}
}

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TY  - JOUR
T1  - Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite
AU  - Mostafa Ragab Abukhadra
AU  - Moaaz Korany Seliem
AU  - Essam Abdel Rahaman Mohamed
AU  - Ali Quarny Selim
AU  - Mahmoud Helmy Mahmoud
Y1  - 2015/10/22
PY  - 2015
N1  - https://doi.org/10.11648/j.ajac.20150306.11
DO  - 10.11648/j.ajac.20150306.11
T2  - American Journal of Applied Chemistry
JF  - American Journal of Applied Chemistry
JO  - American Journal of Applied Chemistry
SP  - 179
EP  - 187
PB  - Science Publishing Group
SN  - 2330-8745
UR  - https://doi.org/10.11648/j.ajac.20150306.11
AB  - The natural Egyptian bentonite, collected from south El Hammam area, was modified at three different temperatures 100°C, 200°C and 300°C for 1 h. The raw and modified bentonite samples were characterized by powder X-ray diffraction (XRD), scanning electron microscope (SEM) and BET surface area. The bentonite modified at 100°C exhibited more flaky grains with smooth surface and high surface area as compared to the two other modified types. Response surface methodology in conjunction with central composite rotatable design was used in optimizing and modeling the effect of different parameters such as contact time, initial concentration and dose on the removal of iron ions. Second order quadratic polynomial model was selected to represent the removal process. The mathematical equations of quadratic polynomial model were derived from Design Expert Software (Version 6.0.5). The predicted values from the mathematical equations were highly correlated with the experimental results (R2 above 0.9) for the required responses in untreated and modified bentonite at 100°C for 1 h. 3D and linear graphs were used to understand the effect of the studied variable parameters and the interaction between them. Under the predicted conditions suggested by the quadratic programming, the modified bentonite at 100°C is more promising and the removal efficiency could be enhanced to 100%. The quadratic polynomial model could be efficiently applied for the modeling of iron removal from aqueous solutions by bentonite.
VL  - 3
IS  - 6
ER  -

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Author Information

Mostafa Ragab Abukhadra

Geology Department, Faculty of Science, Beni t-Suef University, Beni Suef City, Egypt
Moaaz Korany Seliem

Geology Department, Faculty of Science, Beni t-Suef University, Beni Suef City, Egypt
Essam Abdel Rahaman Mohamed

Geology Department, Faculty of Science, Beni t-Suef University, Beni Suef City, Egypt
Ali Quarny Selim

Geology Department, Faculty of Science, Beni t-Suef University, Beni Suef City, Egypt
Mahmoud Helmy Mahmoud

Central Labs, Potable Water & Sanitation Company, Beni-Suef, Egypt

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Mostafa Ragab Abukhadra, Moaaz Korany Seliem, Essam Abdel Rahaman Mohamed, Ali Quarny Selim, Mahmoud Helmy Mahmoud. (2015). Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. American Journal of Applied Chemistry, 3(6), 179-187. https://doi.org/10.11648/j.ajac.20150306.11

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ACS Style

Mostafa Ragab Abukhadra; Moaaz Korany Seliem; Essam Abdel Rahaman Mohamed; Ali Quarny Selim; Mahmoud Helmy Mahmoud. Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. Am. J. Appl. Chem. 2015, 3(6), 179-187. doi: 10.11648/j.ajac.20150306.11

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AMA Style

Mostafa Ragab Abukhadra, Moaaz Korany Seliem, Essam Abdel Rahaman Mohamed, Ali Quarny Selim, Mahmoud Helmy Mahmoud. Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite. Am J Appl Chem. 2015;3(6):179-187. doi: 10.11648/j.ajac.20150306.11

Copy | Download

@article{10.11648/j.ajac.20150306.11,
  author = {Mostafa Ragab Abukhadra and Moaaz Korany Seliem and Essam Abdel Rahaman Mohamed and Ali Quarny Selim and Mahmoud Helmy Mahmoud},
  title = {Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite},
  journal = {American Journal of Applied Chemistry},
  volume = {3},
  number = {6},
  pages = {179-187},
  doi = {10.11648/j.ajac.20150306.11},
  url = {https://doi.org/10.11648/j.ajac.20150306.11},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajac.20150306.11},
  abstract = {The natural Egyptian bentonite, collected from south El Hammam area, was modified at three different temperatures 100°C, 200°C and 300°C for 1 h. The raw and modified bentonite samples were characterized by powder X-ray diffraction (XRD), scanning electron microscope (SEM) and BET surface area. The bentonite modified at 100°C exhibited more flaky grains with smooth surface and high surface area as compared to the two other modified types. Response surface methodology in conjunction with central composite rotatable design was used in optimizing and modeling the effect of different parameters such as contact time, initial concentration and dose on the removal of iron ions. Second order quadratic polynomial model was selected to represent the removal process. The mathematical equations of quadratic polynomial model were derived from Design Expert Software (Version 6.0.5). The predicted values from the mathematical equations were highly correlated with the experimental results (R2 above 0.9) for the required responses in untreated and modified bentonite at 100°C for 1 h. 3D and linear graphs were used to understand the effect of the studied variable parameters and the interaction between them. Under the predicted conditions suggested by the quadratic programming, the modified bentonite at 100°C is more promising and the removal efficiency could be enhanced to 100%. The quadratic polynomial model could be efficiently applied for the modeling of iron removal from aqueous solutions by bentonite.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Application of Quadratic Polynomial Model for the Uptake of Iron from Aqueous Solutions by Natural and Modified Egyptian Bentonite
AU  - Mostafa Ragab Abukhadra
AU  - Moaaz Korany Seliem
AU  - Essam Abdel Rahaman Mohamed
AU  - Ali Quarny Selim
AU  - Mahmoud Helmy Mahmoud
Y1  - 2015/10/22
PY  - 2015
N1  - https://doi.org/10.11648/j.ajac.20150306.11
DO  - 10.11648/j.ajac.20150306.11
T2  - American Journal of Applied Chemistry
JF  - American Journal of Applied Chemistry
JO  - American Journal of Applied Chemistry
SP  - 179
EP  - 187
PB  - Science Publishing Group
SN  - 2330-8745
UR  - https://doi.org/10.11648/j.ajac.20150306.11
AB  - The natural Egyptian bentonite, collected from south El Hammam area, was modified at three different temperatures 100°C, 200°C and 300°C for 1 h. The raw and modified bentonite samples were characterized by powder X-ray diffraction (XRD), scanning electron microscope (SEM) and BET surface area. The bentonite modified at 100°C exhibited more flaky grains with smooth surface and high surface area as compared to the two other modified types. Response surface methodology in conjunction with central composite rotatable design was used in optimizing and modeling the effect of different parameters such as contact time, initial concentration and dose on the removal of iron ions. Second order quadratic polynomial model was selected to represent the removal process. The mathematical equations of quadratic polynomial model were derived from Design Expert Software (Version 6.0.5). The predicted values from the mathematical equations were highly correlated with the experimental results (R2 above 0.9) for the required responses in untreated and modified bentonite at 100°C for 1 h. 3D and linear graphs were used to understand the effect of the studied variable parameters and the interaction between them. Under the predicted conditions suggested by the quadratic programming, the modified bentonite at 100°C is more promising and the removal efficiency could be enhanced to 100%. The quadratic polynomial model could be efficiently applied for the modeling of iron removal from aqueous solutions by bentonite.
VL  - 3
IS  - 6
ER  -

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