Enhancement factors for gas absorption with chemical reaction: Approximate analytical solutions

Abstract

In this paper we examine the problem of absorption of two gases in an inert liquid with simultaneous chemical reaction. In the slow reaction regime, a regular perturbation solution is derived for the enhancement factors of the solute gases. Using the methods of Padé approximants and Shanks transformations, the regular perturbation solution (which is strictly valid in the slow reaction regime) is extended so that the results are applicable in the intermediate reaction regime and, in many cases, in the fast reaction regime. The results obtained by Padé approximants and Shanks transformations are found to be in excellent agreement with the direct numerical solutions of the enhancement factors. By virtue of their analytical nature and high accuracy, the present results may be used as a valuable tool in setting forth design criteria for many mass transfer operations in gas-liquid systems.