Extension of Langmuir kinetics in dilute solutions to include lateral interactions according to regular solution theory and the Kiselev association model

► Langmuir kinetics in dilute solutions has been extended to consider lateral interactions. ►Non-specific interactions are included in terms of the regular solution model. ► Specific interactions are included in terms of the Kiselev model. ► The kinetic model is extended to encompass Langmuir-Freundlich energetic heterogeneity. ► Kinetic and equilibrium adsorption data of 4-nitrobenzoic acid on carbon is analyzed in the framework of this model.