Experimental and theoretical studies of adsorption of ibuprofen on raw and two chemically modified activated carbons: new physicochemical interpretations

Sellaoui, Lotfi; Guedidi, Hanen; SarraWjihi,; Reinert, Laurence; Knani, Salah; Duclaux, Laurent; Lamine, Abdelmottaleb Ben

doi:10.1039/c5ra22302d

Cited by 78 publications

(49 citation statements)

References 21 publications

(25 reference statements)

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“…For this reason, we consider that the macroscopic adsorbent system contains N M identical receptor sites and each site accepts n MG molecules. Based on the scientific literature, interesting models containing different parameters were developed by the same statistical physics theory. All these models were applied on simple and complex adsorption isotherm forms.…”

Section: Resultsmentioning

confidence: 99%

“…In order to characterize these interactions between the malachite green and the corn straw, and between the malachite green molecules, two adsorption energies were estimated and interpreted. The expressions of the adsorption energies are given by Equations and (), respectively:

- {normalϵ}_{1} = {- k}_{normalB} T l n true(\frac{c_{s}}{c_{1}} true)

- {normalϵ}_{2} = {- k}_{normalB} T l n true(\frac{c_{s}}{c_{2}} true)

…”

Section: Resultsmentioning

confidence: 99%

“…The configurational/positional entropy focuses on the number of positions in adsorbent space that can be occupied by the malachite green molecules. Based on the double layer model with two energies, this entropy is given by Equation :

\frac{S_{a}}{k_{B}} = N_{M} true[\ln true(1 + {true(\frac{c}{c_{1}} true)}^{n} + {true(\frac{c}{c_{2}} true)}^{normal2 n} true) - \frac{{(\frac{c}{c_{1}})}^{n} l n {(\frac{c}{c_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n} \ln {(\frac{c}{c_{2}})}^{2 n}}{1 + {(\frac{c}{c_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n}} true]

…”

Section: Resultsmentioning

confidence: 99%

“…The internal energy can be obtained by the double layer model with two energies using Equations and :

\frac{E_{normalint}}{k_{B}} = - \frac{\partial \ln (Z_{g c})}{\partial β} + \frac{μ}{β} true(\frac{\partial \ln true(Z_{g c} true)}{\partial μ} true)

E_{normalint} = - N_{M} true{\frac{true[(\frac{1}{β}) {(\frac{c}{c_{1}})}^{n} \ln {(\frac{c}{c_{1}})}^{n} + 2 {(\frac{c}{c_{2}})}^{2 n} l n {(\frac{c}{c_{2}})}^{2 n} true]}{1 + {true(\frac{C}{C_{1}} true)}^{n} + {true(\frac{c}{c_{2}} true)}^{normal2 n}} + μ [\frac{[{true(\frac{c}{c_{1}} true)}^{n} + 2 {true(\frac{c}{c_{normal2}} true)}^{normal2 n}]}{1 + {(\frac{C}{C_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n}}] true}

…”

Section: Resultsmentioning

confidence: 99%

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Physicochemical and thermodynamic study of malachite green adsorption on raw and modified corn straw

et al. 2017

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Physicochemical and thermodynamic interpretations of malachite green (MG) adsorption on raw (RCS) and modified corn straw (MCS) are detailed in this work. Experimental isotherms were constructed at different temperatures (from 298 to 328 K). To interpret these curves, three models named multilayer model with saturation, double layer model with two energies, and monolayer model with one energy were developed based on the principle of grand canonical ensemble in statistical physics. The double layer model with two energies was the more adequate to represent the adsorption process. Thermodynamic functions such as configurational entropy (Sa), free adsorption enthalpy (G), and internal energy (Eint) were studied. The number of MG molecules per site (n) ranged from 0.33 to 2.33 and the adsorbed quantity at saturation (Qasat) ranged from 164.15 to 528.19 mg g−1 and both increased with the temperature. The density of the receptor sites (NM) ranged from 248.71 to 104.88 and decreased with the temperature. For RCS and MCS, the first and second energies, ϵ1 and ϵ2, increased with the temperature, with ϵ1 being higher than ϵ2. The adsorption energies of MCS (7.77–11.19 kJ mol−1) were higher than the adsorption energies of RCS (6.17–10.88 kJ mol−1). The adsorption process occurred by physisorption and the disorder increased at low equilibrium concentrations, but decreased at high concentrations. The free enthalpy and internal energy described with care the spontaneity of the studied system.

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Section: Resultsmentioning

confidence: 99%

- {normalϵ}_{1} = {- k}_{normalB} T l n true(\frac{c_{s}}{c_{1}} true)

- {normalϵ}_{2} = {- k}_{normalB} T l n true(\frac{c_{s}}{c_{2}} true)

…”

Section: Resultsmentioning

confidence: 99%

\frac{S_{a}}{k_{B}} = N_{M} true[\ln true(1 + {true(\frac{c}{c_{1}} true)}^{n} + {true(\frac{c}{c_{2}} true)}^{normal2 n} true) - \frac{{(\frac{c}{c_{1}})}^{n} l n {(\frac{c}{c_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n} \ln {(\frac{c}{c_{2}})}^{2 n}}{1 + {(\frac{c}{c_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n}} true]

…”

Section: Resultsmentioning

confidence: 99%

“…The internal energy can be obtained by the double layer model with two energies using Equations and :

\frac{E_{normalint}}{k_{B}} = - \frac{\partial \ln (Z_{g c})}{\partial β} + \frac{μ}{β} true(\frac{\partial \ln true(Z_{g c} true)}{\partial μ} true)

E_{normalint} = - N_{M} true{\frac{true[(\frac{1}{β}) {(\frac{c}{c_{1}})}^{n} \ln {(\frac{c}{c_{1}})}^{n} + 2 {(\frac{c}{c_{2}})}^{2 n} l n {(\frac{c}{c_{2}})}^{2 n} true]}{1 + {true(\frac{C}{C_{1}} true)}^{n} + {true(\frac{c}{c_{2}} true)}^{normal2 n}} + μ [\frac{[{true(\frac{c}{c_{1}} true)}^{n} + 2 {true(\frac{c}{c_{normal2}} true)}^{normal2 n}]}{1 + {(\frac{C}{C_{1}})}^{n} + {(\frac{c}{c_{2}})}^{2 n}}] true}

…”

Section: Resultsmentioning

confidence: 99%

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Physicochemical and thermodynamic study of malachite green adsorption on raw and modified corn straw

et al. 2017

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“…The previous studies of the sites of adsorption of ibuprofen in activated carbons have demonstrated that the adsorption occurs mainly in micropores (supermicropores and larger ultramicropores) [17,44,45]. The models established by statistical physics have allowed to simulate the adsorption isotherms of ibuprofen on activated carbons using a monolayer model [46], or a double layer model [48] in agreement with the accommodation of the adsorbate in the micropores.…”

Section: Adsorption Isotherms Of Ibuprofenmentioning

confidence: 99%

Ultrasonic pre-treatment of an activated carbon powder in different solutions and influence on the ibuprofen adsorption

Guedidi¹,

Reinert²,

Lévêque³

et al. 2020

Comptes Rendus. Chimie

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Calculation of adsorption isotherms by statistical physics models: a review

2021

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Adsorption is a major basic and applied phenomenon in many scientific disciplines. In particular, the design of adsorbents to remove pollutants from wastewater requires advanced knowledge of adsorption isotherms, which are useful tools to identify physicochemical factors that control adsorption performance. Recent modeling of adsorption isotherms has focused on the use of statistical physics. Here, we review the major adsorption isotherm models based on statistical physics. We discuss steric, energetic, and thermodynamic parameters.

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Experimental and theoretical studies of adsorption of ibuprofen on raw and two chemically modified activated carbons: new physicochemical interpretations

Abstract: Knowledge of the ibuprofen (IBP) adsorption isotherms is important to understand and to improve its depollution process.

Cited by 78 publications

References 21 publications

Physicochemical and thermodynamic study of malachite green adsorption on raw and modified corn straw

Physicochemical and thermodynamic study of malachite green adsorption on raw and modified corn straw

Ultrasonic pre-treatment of an activated carbon powder in different solutions and influence on the ibuprofen adsorption

Calculation of adsorption isotherms by statistical physics models: a review

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