The influence of lateral non-specific and specific interactions on the kinetics in dilute solutions is analyzed within the framework of the Langmuir model. Regular solution theory is used to derive kinetic equations for dilute solutions (RSK model). RSK equations are modified to include simple Kiselev associative interactions and deviations from the regular solution theory (mRSK model) and LF-type energetic heterogeneity (LF-mRSK). Derived models lead to significantly different kinetic behavior than the commonly used FG model or the SRT approach. The influence of the equilibrium uptake u(eq) and coverage 0(eq) on the observed effects of lateral interactions is discussed. A new kind of kinetic plot for data analysis is also presented. The mixed LF-mRSK model is applied to analysis of solute adsorption on mesoporous carbon. (C) 2011 Elsevier Inc. All rights reserved.