Kinetic models of sorption: a theoretical analysis

Azizian, Saeid

doi:10.1016/j.jcis.2004.03.048

Cited by 1,976 publications

(1,170 citation statements)

References 79 publications

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“…3. The kinetic findings were described using the Elovich equation [17], Lagergren's equation [18], and the pseudo-second-order model [18,19]. These models are, respectively, given by the following expressions:…”

Section: Kinetic Descriptionmentioning

confidence: 99%

A radiotracer study of the adsorption behavior of aqueous Ba2+ ions on nanoparticles of zero-valent iron

Celebi

Üzüm

Shahwan

et al. 2007

Journal of Hazardous Materials

225

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Recently, iron nanoparticles are increasingly being tested as adsorbents for various types of organic and inorganic pollutants. In this study, nanoparticles of zero-valent iron (NZVI) synthesized under atmospheric conditions were employed for the removal of Ba 2+ ions in a concentration range 10 −3 to 10 −6 M. Throughout the study, 133 Ba was used as a tracer to study the effects of time, concentration, and temperature. The obtained data was analyzed using various kinetic models and adsorption isotherms. Pseudo-second-order kinetics and Dubinin-Radushkevich isotherm model provided the best correlation with the obtained data. Observed thermodynamic parameters showed that the process is exothermic and hence enthalpy-driven.

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Section: Kinetic Descriptionmentioning

confidence: 99%

A radiotracer study of the adsorption behavior of aqueous Ba2+ ions on nanoparticles of zero-valent iron

Celebi

Üzüm

Shahwan

et al. 2007

Journal of Hazardous Materials

225

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“…The equation is as follows: 27 lg(q 1 -q t ) = lgq 1 where q 1 and q t are the amounts of Zn(II) adsorbed on the sorbent (mg·g -1 ) at equilibrium and at time t, respectively, and k 1 is the rate constant of the first-order adsorption (min -1 ). The straight line plot of lg(q 1 -q t ) against t was used to determine the values of rate constant, k 1 and correlation coefficient, r 1 .…”

Section: Adsorption Kinetic Modelmentioning

confidence: 99%

“…A pseudo-second-order model 27 may also describe the kinetics of Zn(II) sorption onto microcrystalline anthracene, the equation may be expressed as follows:…”

Section: Adsorption Kinetic Modelmentioning

confidence: 99%

Kinetic and Thermodynamic Investigations of Zn(II) Adsorption on Microcrystalline Anthracene Modified with 8‐Hydroxyquinoline and Its Application to the Preconcentration and Determination of Trace Zinc

Wang

Yan

2011

J Chinese Chemical Soc

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A new method that utilizes microcrystalline anthracene modified with 8-hydroxyquinoline as an adsorbent has been developed for the preconcentration of trace Zinc(II). The possible reaction mechanism is discussed in detail. The influences of different parameters, such as acidity, other metal ions, the amounts of 8-hydroxyquinoline and anthracene, etc. on the enrichment yield of Zn(II) have been studied to optimize the experimental conditions. The experimental data were fitted well with the pseudo-second-order kinetic model and Langmuir model at all studied temperatures and the maximum adsorption capacity was 32.58 mg·g -1 (300 K). The thermodynamic parameters (DG q , DH q and DS q ) showed the feasibility, exothermic and spontaneous nature of the adsorption at 280~320 K. Experiments indicate that Zn(II) can be completely separated from Cu(II), Co(II), Cd(II), Mn(II), Ni(II) in the eluent. The recovery of this method is in the range of 96.0%~105.0% with preconcentration factor of 100 and the limit of detection after preconcentration is 0.068 mg·L -1 . The proposed method has been successfully applied to the determination of trace Zn(II) in effluents and synthetic water sample having a composition similar to certified water sample SLRS-4 (NRC, Canada). Analytical results obtained by this recommended method were very satisfactory.

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“…What we know now as Langmuir rate equation first appeared in the derivation of Langmuir isotherm equation for gas adsorption (Langmuir 1918). However, it has very general character and is obtained also for other sorption mechanisms (Azizian 2004;Liu and Shen 2008;Navarrete-Guijosa et al 2003;Plazinski et al 2009):…”

Section: Introductionmentioning

confidence: 99%

“…Langmuir rate Eq. (1) in batch conditions is reduced to the simple second degree polynomial with respect to the coverage h, however, the obtained analytical solutions (Azizian 2004) were difficult to analyze and approximations led sometimes to overly simplifying conclusions (Azizian 2004;Liu and Shen 2008) e.g. concerning conditions allowing to use second order equation (Ho and McKay 1998).…”

Section: Introductionmentioning

confidence: 99%

Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

2013

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Adsorption and desorption of benzoic and salicylic acids and phenol from a series of synthesized mesoporous carbons is measured and analyzed. Equilibrium adsorption isotherms are best described by the LangmuirFreundlich isotherm. Intraparticle diffusion and McKay's pore diffusion models, as well as mixed 1,2-order (MOE), integrated Langmuir kinetic equation (IKL), LangmuirFreundlich kinetic equation and recently derived fractallike MOE (f-MOE) and IKL models were compared and used to analyze adsorption kinetic data. New generalization of Langmuir kinetics (gIKL), MOE and f-MOE were used to describe desorption kinetics. Analysis of adsorption and desorption half-times shows simple relation to the size of carbon pores.

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Kinetic models of sorption: a theoretical analysis

Cited by 1,976 publications

References 79 publications

A radiotracer study of the adsorption behavior of aqueous Ba2+ ions on nanoparticles of zero-valent iron

A radiotracer study of the adsorption behavior of aqueous Ba2+ ions on nanoparticles of zero-valent iron

Kinetic and Thermodynamic Investigations of Zn(II) Adsorption on Microcrystalline Anthracene Modified with 8‐Hydroxyquinoline and Its Application to the Preconcentration and Determination of Trace Zinc

Adsorption and desorption kinetics of benzene derivatives on mesoporous carbons

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