The solution of the Langmuir-Hinshelwood (L-H) differential kinetic equation describing a twostage reaction of the photocatalytic oxidation of pollutants in air on the surface of a heterogeneous TiO 2 catalyst is investigated, and a new approach to processing the experimental data based on this study is developed. A well-known solution to this equation is the equation for the cumbersome implicit function F(C A , t) = 0, where C A is the concentration of pollutants in the air and t is the time. The core of the proposed approach is that instead of searching using various approximations for an explicit function describing the dependence of the concentration of pollutants in C A air on time t, for such a description one should use as an artificial method the known explicit functional dependence of t on C A obtained by solving the L-X equation. Only after the final approximation of the experimental data using such a function (fitting the parameters of the equation) should the abscissa and ordinate be swapped in order to present the results in a more familiar form:It is proved that researchers should always introduce a correction factor into the right-hand side of the L-X equation S c /V b , which reflects the ratio of the total surface area of the catalyst, S c , to the volume of the enclosed space, V b (of the reactor, room) in which the pollutants are removed. Derived formulas for calculating the equilibrium constant K of the adsorption-desorption process, the rate constants k r of the heterogeneous photocatalytic oxidation (mineralization) of the pollutants, as well as the time required to clean the enclosed space from the pollutants to the level of the maximum permissible concentration of various categories of hygienic standards. The obtained results of the mathematical study are applied to analyze the experimental dependences of the concentrations of the pollutants in the C A in the air on time t, both those published in the scientific literature (acetaldehyde, toluene, dimethyl sulfide, and acetone) and obtained in the course of our own experiment (tetrachlorethylene, methylene chloride, tert-butyl methyl ether, and isopropanol).