The process of mathematical modeling of mass transfer in a random packed bed under conditions of turbulent gas motion and countercurrent laminar wavy flow of a liquid film is studied. The packed bed is depicted as a set of equivalent channels with a correction for sinuosity. P. Kapitsa's idea of depicting waves on a mesophase film surface upon interaction with a gas stream as elements of roughness is used. The component concentration profiles are found by solving differential mass transfer equations for a cylindrical channel with a volume mass source. The results of solution of the equations system are presented and compared with experimental chemisorption data.