The kinetics of pure gas adsorption on energetically heterogeneous solid surfaces has been studied by statistical rate theory. The theoretical investigations take into account the influence of lateral interactions between adsorbed molecules. The energetic heterogeneity of the adsorption system has been described by the rectangular energy distribution function. The obtained kinetic expression is based on the exact solution of the integral equation approach. The experimental systems of alkane adsorption on activated carbons were used for quantitative analysis. As a result, a good simultaneous description of equilibria and kinetics in these systems was obtained.