Kinetics of ion exchange with intraparticle rate control: Models accounting for interactions in the solid phase

Petruzzelli, Domenico; Helfferich, Friedrich G.; Liberti, L.; Millar, J. R.; Passino, R.

doi:10.1016/0167-6989(87)90150-4

Cited by 15 publications

(21 citation statements)

References 28 publications

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“…[20] Therefore by converting dimensionless time τ into real time it is possible to compare experimental and theoretical concentration decay curves. The diffusivity in model 1 is derived from minimizing the sum of the SAE.…”

Section: Model 1 (Analytical Method)mentioning

confidence: 99%

“…Therefore, the film and pore diffusion coefficients of the analytical Eq. [20] were calculated by minimizing the objective function Eq. [21] for all sets of data.…”

Section: Model 1 (Analytical Method)mentioning

confidence: 99%

“…Therefore, the application in this research to develop a model for metal ion sorption based on diffusion mass transfer and incorporating global or system diffusion coefficients is novel and relatively simple. Only a limited number of diffusion applications to metal ion sorption are reported (20)(21)(22)(23)(24).…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

Film-Pore Diffusion Control for the Batch Sorption of Cadmium Ions from Effluent onto Bone Char

Cheung

Chan

Porter

et al. 2001

Journal of Colloid and Interface Science

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Section: Model 1 (Analytical Method)mentioning

confidence: 99%

“…Therefore, the film and pore diffusion coefficients of the analytical Eq. [20] were calculated by minimizing the objective function Eq. [21] for all sets of data.…”

Section: Model 1 (Analytical Method)mentioning

confidence: 99%

See 1 more Smart Citation

Film-Pore Diffusion Control for the Batch Sorption of Cadmium Ions from Effluent onto Bone Char

Cheung

Chan

Porter

et al. 2001

Journal of Colloid and Interface Science

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“…[12] Several equations have been proposed in the literature. [13,14] In this concern, the essential objective is to determine the mechanism controlling the release. Normally, intraparticle diffusion control is expected for the release of species from a resin and hence the experimental data are tested for this type of mechanism.…”

Section: Introductionmentioning

confidence: 99%

Kinetics Characterization of Ions Release Under Dynamic and Batch Conditions. Strong Acid and Strong Base Type Ion Exchange Resins

Torrado¹,

Valiente²

2008

Solvent Extraction and Ion Exchange

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The purpose of this study has been to investigate the influence of key parameters (i.e., the structure of the resin organic polymer and its particle size, as well as the temperature of the process) on the release of calcium and fluoride ions from cationic and anionic ion exchange resins of strong character, in order to develop a formulation for a controlled release of the mentioned ions, that are present in organomineral tissues. Kinetics parameters were evaluated under dynamic and batch conditions. It has been observed that the rate of Ca 2þ and F 2 release increases when temperature increases and particle size decreases. Because of the larger pore volumes that provide a greater effective surface area, macroporous ion exchangers observe a higher rate of ions release than those of gel nature. Results obtained in this study are well interpreted by the models based on intraparticle diffusion as rate controlling step of the ion exchange process. The effective rate of release, B (obtained from the application of mentioned models), of the respective ions in the resin phase describes quantitatively the kinetic process. Linear dependences of -log (B) with the resin particles diameters can be applied to the estimation of B values for very low particle size resins, materials commonly used in the development of controlled release formulations.

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“…For optimization of these processes with regard to economical and ecological benefits valuable information is gained by mathematical modeling and numerical simulations. A survey of approaches accounting for interactions in the solid phase, especially in ion-exchange resins, is given in [11].…”

Section: Introductionmentioning

confidence: 99%

Instationary Shrinking-Core Models for Heterogeneous Ionic Reactions

Bothe

Koschut

Prüß

et al. 2001

Chem. Eng. Technol.

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Kinetics of ion exchange with intraparticle rate control: Models accounting for interactions in the solid phase

Cited by 15 publications

References 28 publications

Film-Pore Diffusion Control for the Batch Sorption of Cadmium Ions from Effluent onto Bone Char

Film-Pore Diffusion Control for the Batch Sorption of Cadmium Ions from Effluent onto Bone Char

Kinetics Characterization of Ions Release Under Dynamic and Batch Conditions. Strong Acid and Strong Base Type Ion Exchange Resins

Instationary Shrinking-Core Models for Heterogeneous Ionic Reactions

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