Bubble evolution in solutions with gas concentrations near the saturation value

Theoretical description of the kinetics of solute adsorption at heterogeneous solid/solution interfaces

“…Meanwhile, 2 years ago, Azizian pointed it out that this pseudo-first order kinetic equation represents in fact the exact solution of the Langmuirian equation (19), when s = 1 [11]. Its common use for most than one century also reveals deviations in many cases from the behaviour predicted by Lagergren equation (18). As that equation was commonly assumed to describe the rate of surface reactions, it was natural to assume that in the case of two-siteoccupancy adsorption, i.e.…”

“…Soon it was applied to describe successfully the rates of interfacial transports of various kinds, i.e. the rate of exchange at the liquid/gas interface [17][18][19], hydrogen adsorption by metals [20], electron exchange between ionic isotopes in solution [21], permeation of ionic channels in biological membranes [22], and rate of liquid evaporation [23][24][25]. Ward and co-workers were the first to show how the SRT approach can be applied to describe the kinetics of isothermal adsorption at the gas/solid interfaces [26][27][28][29], and the kinetics of thermodesorption [30].…”

Statistical rate theory description of beam-dosing adsorption kinetics

“…A similar hypothesis has been used with success in describing gas absorption by a liquid. 5,9,10 The CO-Ni͑111͒ system is one in which adsorption occurs nondissociatively ͑at moderate temperatures͒ and in which there is predominately one type of bonding ͑bridge͒. The molecular properties of CO in a gas phase are already known, and with the hypothesis regarding the adsorption cross section, the additional material properties controlling the rate of CO adsorption on Ni͑111͒ have been determined entirely from the equilibrium measurements.…”

“…The SRT approach shows promise of being successful, but it has not been fully tested previously. Since it was first proposed in an elementary form in 1977, 5 it has been placed on firmer theoretical grounds 6,7 and applied to examine the rates of gas absorption at a liquid-gas interface, [8][9][10] hydrogen absorption by metals, 11 electron exchange between ionic isotopes in solution, 6,12 permeation of ionic channels in biological membranes, 13 and both nondissociative 12,14,15 and dissociative 14,16 adsorption kinetics in isothermal, isobaric systems. In each case, the SRT approach led to improvements in the theoretical description of the rate process.…”

“…2,4 Statistical rate theory is being developed with the objective of filling this need. [5][6][7][8][9][10][11][12][13][14][15][16] In this approach, a thermodynamically isolated system is considered and the transition probability concept is used to construct the expression for the rate of molecular transport. If this approach is successful, the material properties of a particular pair of macroscopic phases could be tabulated and used in the governing equations for predicting the rate of molecular transport across the interface in any circumstance.…”