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The Kinetics of Sorption–Desorption Phenomena: Local and Non-Local Kinetic Equations

G. Barbero, A.M. Scarfone, L. R. Evangelista

2022Molecules9 citationsDOIOpen Access PDF

Abstract

The kinetics of adsorption phenomena are investigated in terms of local and non-local kinetic equations of the Langmuir type. The sample is assumed in the shape of a slab, limited by two homogeneous planar-parallel surfaces, in such a manner that the problem can be considered one-dimensional. The local kinetic equations in time are analyzed when both saturation and non-saturation regimes are considered. These effects result from an extra dependence of the adsorption coefficient on the density of adsorbed particles, which implies the consideration of nonlinear balance equations. Non-local kinetic equations, arising from the existence of a time delay characterizing a type of reaction occurring between a bulk particle and the surface, are analyzed and show the existence of adsorption effects accompanied by temporal oscillations.

Topics & Concepts

AdsorptionSaturation (graph theory)Kinetic energyKineticsDesorptionThermodynamicsSorptionNonlinear systemRate equationHomogeneousSlabLangmuirPlanarParticle (ecology)ChemistryMaterials sciencePhysicsPhysical chemistryClassical mechanicsMathematicsCombinatoricsGeophysicsQuantum mechanicsComputer graphics (images)GeologyOceanographyComputer scienceElectrostatics and Colloid InteractionsMaterial Dynamics and Propertiesnanoparticles nucleation surface interactions
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