Kinetics of adsorption from a solution. Role of the diffusion and of the adsorption-desorption antagonism

Theory and Experiment on the Measurement of Kinetic Rate Constants for Surfactant Exchange at an Air/Water Interface

“…An Arhenius rate formula- bulk concentrations of the surfactant are used, or in re-equilibration, if the surface is compressed sufficiently. We first establish theoretically that mass transfer shifts from diffusion-limited to dG dt Å bG ϱ C S (1 0 G/ G ϱ ) 0 aGe KG / G ϱ , [1] mixed as the bulk concentration increases in clean interface adsorption, or the surface compression is increased in re-equilibration. We then experimentally verify this idea by using the poly-where G is the surface concentration, C S is the sublayer clean interface, and the reduction in surface tension is mea-and re-equilibration ( 20, 21 ) ; ( iii ) straight chain polyethoxylated alcohols ( 10 09 -10 07 mol / cm 3 ; structure sured, or (ii) the surface area of an equilibrium monolayer is changed causing exchange with the sublayer, and the re-CH 3 (CH 2 ) 11 E 6 OH ( ''C 12 E 6 ''); C 12 E 3 ; C 14 E 6 ; C 16 E 9 ; Brij 58 ) , studied by clean interface adsorption ( 12,13 ) and reequilibration in tension is measured (for reviews, see Refs.…”

“…For clean interface adsorption and re-equilibration, equilibration ( 20, 22, 23 ) ; ( iv ) long chain normal alcohols ( octanol, nonal, and decanol ) (10 09 -10 06 mol / cm 3 ), by modeling the kinetic exchange with Eq. [1], and the bulk diffusive and convective transport with the convective-studied in clean interface adsorption ( 10, 24 -31 ) and reequilibration ( 32, 33 ) ; and ( v ) carboxylic acids (n -octadiffusion equation, G(t) can be predicted as a function of the surfactant transport parameters. From an equation of state noic and n -decanoic acids ) ( 10 09 -10 06 mol / cm 3 ) , studied by clean interface adsorption ( 10, 24 ) and re-equilibration relating the surface tension g to the surface concentration (g(G)) the model prediction of the tension relaxation can ( 20, 21, 34 -37 ) .…”

Superficial transportation model using finite volume method

“…Calculating adsorptive near-interface mass transfer creates the need for effective diffusion coefficient estimation. First approach to dynamics of the interface adsorption was presented by Ward and Tordai [72] who formulated first quantitative model of diffusion controlled adsorption, then the mixed adsorption kinetic model proposed by Baret [73] and, further, short and long time approximations proposed by Feinermann [74]. The thermodynamic description of system containing interface in the form of free energy functional is widely discussed [75][76][77][78][79] and also the detailed presentation of the models used to describe the adsorption processes at the liquid-liquid interfaces can be found in literature [80].…”

Real-Time Pendant Drop Tensiometer Using Image Processing with Interfacial Area and Interfacial Tension Control Capabilities

“…It is well known that the adsorption of tensioactive material at the interface can be described by a diffusion process From the least mean square method used to compute the between the bulk phase and the subphase (a thin layer just interfacial tension it is possible to determine the standard beneath the interface) coupled with an energy barrier bedeviation of the two estimators A and B from which the tween this subphase and the interface (3,19). This barrier interfacial tension g and radius of curvature at the apex b are corresponds to a penetration of the adsorbed layer and a computed.…”