"An Overview of Using Error function in Adsorption Isotherm Modeling "

Hami, Hawraa Kassem; Abbas, Ruba Fahmi; Mahdi, Amel S.; Maryoosh, Asma A.

doi:10.52113/2/08.01.2021/22-30

Cited by 5 publications

(2 citation statements)

References 17 publications

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“…The use of only the coefficient of determination, R 2 , to describe the suitability/fitness of isotherm models in describing an adsorption process has been reported to be insufficient, since this parameter considers the difference between the theoretical and experimental data in linear plots (Hami et al, 2021). Appropriate isotherm models to describe adsorption can be determined by using error functions to validate the linearized isotherm equations with experimental results (Hami et al, 2021;Balarak and Salari, 2019). Optimal adsorption isotherm models are generally characterized by high R 2 values and low values of error functions.…”

Section: Introductionmentioning

confidence: 99%

“…Optimal adsorption isotherm models are generally characterized by high R 2 values and low values of error functions. Common error functions that have been used by researchers include: residual sum of squares (RSS), sum of absolute errors (SAE), hybrid function fractional error (Hybrid), average relative error (ARE), non-linear chi-square test ( χ 2 ), root mean square error (RMSE) among others (Hami et al, 2021, Amtul et al, 2017. This paper reports on the modelling of adsorption of iron and lead from automobile workshop stormwater using Langmuir and Freundlich isotherm models.…”

Section: Introductionmentioning

confidence: 99%

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Application of isotherm models to combined filter systems for the prediction of iron and lead removal from automobile workshop stormwater runoff

Ataguba

Brink

2022

WSA

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Langmuir and Freundlich isotherm adsorption models were used to predict iron and lead removal from automobile workshop stormwater runoff. Combined low-cost filter systems consisting of granular activated carbon–rice husk (GAC–RH) and river gravel–granular activated carbon (GR–GAC) were used in this study. The effects of adsorbent dosage and contact time on the adsorption capacity of the adsorbents, as well as the removal efficiencies of the adsorbent systems, were also investigated. The results for the Langmuir model generally showed favourable adsorption processes., with all RL values < 1 (in the range 0.358–0.518). The Langmuir model gave better predictions for iron and lead removal, with high R2 values (in the range 0.842–0.969), while the root mean square error (RMSE) values ranged from 0.002 to 2.366. The Freundlich model parameters indicated chemisorption processes with all n values < 1 (in the range 0.1296–0.4675). R2 values were in the range of 0.634–0.916 while RMSE values ranged from 0.002 to 0.1765. Additionally, the removal efficiencies for iron and lead using GAC–RH filter system (54% and 48%, respectively) were found to be higher than those obtained using GR–GAC filter system (35% and 25%, respectively). The adsorption capacities of the adsorbents decreased with increased dosages of the adsorbent, with optimum adsorbent dosage of 0.5 g and equilibrium contact time of 80 min for the combined filter adsorbents. Further research towards modifying adsorbents for removal of oil and grease from polluted automobile workshop stormwater runoff are warranted.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of isotherm models to combined filter systems for the prediction of iron and lead removal from automobile workshop stormwater runoff

Ataguba

Brink

2022

WSA

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Rhodamine 6G Dye Adsorption Using Magnetic Nanoparticles Synthesized With the Support of Vernonia Amygdalina Leaf Extract (Bitter Leaf)

Aigbe

Maluleke

Lebepe

et al. 2023

J Inorg Organomet Polym

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This study reports the synthesis of magnetic nanoparticles (MNPs) using the co-precipitation method with the support of Vernonia Amygdalina (VA) (bitter leaf) extract for the efficient sequestration of rhodamine 6G dye (Rhd 6G) from a water-soluble solution. The prepared MNPs were characterized using Transmission electron microscopy (TEM,) X-ray Diffraction (XRD), Fourier-transform infrared (FTIR) and Ultraviolet–visible (UV–Vis) spectrometry. The average particle sizes from TEM and XRD analyses were 4.81 ± 2.2 nm and 5.61 nm respectively. The sorption of Rhd 6G dye to the MNPs was pH-dependent, with ideal confiscation of dye molecules observed at pH 10 ($$\sim 91.4\%)$$ ∼ 91.4 % ) . The sorption process of Rhd 6G dye was reported to follow the Freundlich (FRH) isotherm model, while the pseudo-first-order model (PFOM) best depicted the sorption process of Rhd 6G dye to the MNPs from the non-linear modelling. The determined sorption capacity of the MNPs was established to be 454 mg.g−1. Also, the sorption of Rhd 6G dye to the MNPs was observed to be thermodynamically spontaneous, endothermic and with increasing randomness between the interface of the water-soluble solution and the MNPs. Hence, the prepared MNPs have proven to be an effective potential magnetic sorbent for the removal of cationic dyes from an aqueous solution. Graphical Abstract

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Novel Nanocomposite of Carbonized Chitosan-Zinc Oxide-Magnetite for Adsorption of Toxic Elements from Aqueous Solutions

Ali,

Ismail,

Osman

et al. 2024

ACS Omega

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Herein, a novel nanocomposite (carbonized chitosanzinc oxide-magnetite, CCZF) was developed to effectively remove toxic elements in water remediation. Combining the high adsorption capacities of chitosan with the magnetic properties of magnetite and the chemical stability of zinc oxide, the combination of these unique properties makes it an efficient and versatile material that offers a sustainable solution for water purification. The (CCZF) nanocomposite was synthesized through the coprecipitation method and characterized using various techniques, including scanning electron microscopy (SEM), transmission electron microscopy (TEM), Brunauer−Emmett−Teller (BET) analysis, X-ray diffraction (XRD), Fourier transform infrared (FTIR) spectroscopy, and zeta potential analysis. The results showed impressive maximum adsorption capacities of 891.34 mg/g for Ni 2+ , 1269.35 mg/g for Co 2+ , and 1502.67 mg/g for Cu 2+ , fitting well with a modified Langmuir isotherm model. The adsorption process was spontaneous and endothermic, characterized by low positive enthalpy (ΔH) values ranging from 10.95 to 34.9 kJ/mol, indicative of the physical adsorption mechanism. Additionally, the nanocomposite demonstrated good reusability over multiple adsorption and desorption cycles. This research highlights the potential of the (CCZF) nanocomposite as a highly efficient, reusable adsorbent for the removal of toxic elements from aqueous solutions, contributing significantly to environmental remediation efforts and pollution control.

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"An Overview of Using Error function in Adsorption Isotherm Modeling "

Cited by 5 publications

References 17 publications

Application of isotherm models to combined filter systems for the prediction of iron and lead removal from automobile workshop stormwater runoff

Application of isotherm models to combined filter systems for the prediction of iron and lead removal from automobile workshop stormwater runoff

Rhodamine 6G Dye Adsorption Using Magnetic Nanoparticles Synthesized With the Support of Vernonia Amygdalina Leaf Extract (Bitter Leaf)

Novel Nanocomposite of Carbonized Chitosan-Zinc Oxide-Magnetite for Adsorption of Toxic Elements from Aqueous Solutions

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