International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 165-172

A new approach to the problem of removal of soluble gaseous pollutants from the atmosphere and its correspondence with the existing approach

Soumitra Chattopadhyay and A. K. Mukherjee

Science Department, Columbia College, Columbia 65216, Missouri, USA

Received 1 September 1992

Copyright © 1994 Soumitra Chattopadhyay and A. K. Mukherjee. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new approach has been developed using the kinetic theory for the dissolution of gaseous pollutants in cloud droplets. The existing theory, using the diffusion approach, assumes dissolving gas to be a continuous medium. This approach may not always be suitable; especially, as the mean free paths of the pollutant gases at the existing concentrations available at the atmosphere are of the same order as the diameter of the cloud droplets. We develop an equation by considering the mass of the gas molecules striking per unit area of the droplets. Equations are also developed for the rate of dissolution of gaseous air pollutants and an attempt has been made to find out the correspondence with the classical approach and the mass transfer process.