Derivation of a simple equation for close to equilibrium adsorption dynamics of surfactants at air/liquid interface using statistical rate theory

The statistical rate theory was applied for modeling of dynamics of surfactant adsorption at air/liquid interface, when the system is close to equilibrium. By using an approximation in the rate equation of statistical rate theory, a simple equation was derived for close to equilibrium systems. Based on this new equation, it is possible to find the rate constant of surfactant adsorption at air/liquid interface by a linear plot, easily. The applicability of the obtained equation was evaluated by analysis of set of numerically simulated data based on stochastic method and also two different sets of experimental data.

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► Usually the analytical solution of SRT equations led to a complex equation. A simple equation for analysis of adsorption dynamics of surfactants was derived.
► The obtained equation is for close to equilibrium systems.
► By this equation it is possible to calculate the rate constant of adsorption easily.