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A Linear Diffusion Model of Adsorption Kinetics at Fluid/Fluid Interfaces.

Staszak M - J Surfactants Deterg (2016)

Bottom Line: The proposed approach assumes the near interface, adsorptive layer which is described based on Fick's transient diffusion law.The solution to the model contains the estimation of effective diffusivities with adsorptive layer thickness as well.The experimental results of toluene/water + sodium dodecyl sulfate are presented and used for model verification.

View Article: PubMed Central - PubMed

Affiliation: Institute of Chemical Technology and Engineering, Poznan University of Technology, Pl. Skłodowskiej-Curie 2, 60-965 Poznan, Poland.

ABSTRACT

The paper presents a new model for kinetically controlled adsorption at the fluid/fluid interface. The main purpose of the presented approach is to relate easy to estimate bulk surfactant concentration with Gibbs surface excess. Two adsorption isotherms are involved in the new model development: Frumkin and Szyszkowski isotherms. Additionally the Johannsen time profile of concentration in the adsorption layer is assumed and estimated in the model derivation. The proposed approach assumes the near interface, adsorptive layer which is described based on Fick's transient diffusion law. The solution to the model contains the estimation of effective diffusivities with adsorptive layer thickness as well. The experimental results of toluene/water + sodium dodecyl sulfate are presented and used for model verification.

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Equilibrium surface tensions in different bulk concentrations of SDS. The presented Szyszkowski and Frumkin isotherms are presented by a single line
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Fig5: Equilibrium surface tensions in different bulk concentrations of SDS. The presented Szyszkowski and Frumkin isotherms are presented by a single line

Mentions: The parameter values of the best fit isotherm model are given in Table 3. The quality of the fit is expressed by the residual sum of squares (RSS) for both the isotherms. It is also visible by examining the RSS values that due to additional parameter the fit to the Frumkin isotherm is a little better but the difference is small. Based on the estimated isotherms parameters the surface tension and surface excess as a function of concentration are presented in Figs. 5 and 6. The fit to both of the isotherms is almost identical so the solid line represents both the Szyszkowski and Frumkin isotherms.Table 3


A Linear Diffusion Model of Adsorption Kinetics at Fluid/Fluid Interfaces.

Staszak M - J Surfactants Deterg (2016)

Equilibrium surface tensions in different bulk concentrations of SDS. The presented Szyszkowski and Frumkin isotherms are presented by a single line
© Copyright Policy - OpenAccess
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4764644&req=5

Fig5: Equilibrium surface tensions in different bulk concentrations of SDS. The presented Szyszkowski and Frumkin isotherms are presented by a single line
Mentions: The parameter values of the best fit isotherm model are given in Table 3. The quality of the fit is expressed by the residual sum of squares (RSS) for both the isotherms. It is also visible by examining the RSS values that due to additional parameter the fit to the Frumkin isotherm is a little better but the difference is small. Based on the estimated isotherms parameters the surface tension and surface excess as a function of concentration are presented in Figs. 5 and 6. The fit to both of the isotherms is almost identical so the solid line represents both the Szyszkowski and Frumkin isotherms.Table 3

Bottom Line: The proposed approach assumes the near interface, adsorptive layer which is described based on Fick's transient diffusion law.The solution to the model contains the estimation of effective diffusivities with adsorptive layer thickness as well.The experimental results of toluene/water + sodium dodecyl sulfate are presented and used for model verification.

View Article: PubMed Central - PubMed

Affiliation: Institute of Chemical Technology and Engineering, Poznan University of Technology, Pl. Skłodowskiej-Curie 2, 60-965 Poznan, Poland.

ABSTRACT

The paper presents a new model for kinetically controlled adsorption at the fluid/fluid interface. The main purpose of the presented approach is to relate easy to estimate bulk surfactant concentration with Gibbs surface excess. Two adsorption isotherms are involved in the new model development: Frumkin and Szyszkowski isotherms. Additionally the Johannsen time profile of concentration in the adsorption layer is assumed and estimated in the model derivation. The proposed approach assumes the near interface, adsorptive layer which is described based on Fick's transient diffusion law. The solution to the model contains the estimation of effective diffusivities with adsorptive layer thickness as well. The experimental results of toluene/water + sodium dodecyl sulfate are presented and used for model verification.

No MeSH data available.


Related in: MedlinePlus