Abstract: Gas absorption with second-order irreversible chemical reactions in the falling liquid film of a non-Newtonian power-law fluid was studied. An analytical solution of the diffusion-reaction equation, which describes the process of absorption when the concentration of the reactant in the range of diffusion of the dissolved gas is virtually uniform up to the surface, has been obtained. A wetted-wall column was used to measure the rate of absorption and the second-order irreversible chemical reaction rate constant, for carbon dioxide in an aqueous polymer solution. It was found that the non-Newtonian character of the liquid film has a significant influence on the absorption rate and reaction rate constant. A comparison has been made, which shows that the analytical solution is in good agreement with the experimental results.