The evolution of atmospheric aerosols is currently a subject of concern because of its relationship to environmental issues. Recently, a rigorous approach for modeling the dynamics of a sectional aerosol distribution has been developed by Gelbard, Tambour and Seinfeld (1980) J. Colloid Interface Sci. 76, 541-556. This paper makes use of this approach and extends it through the presentation of a mathematical model that describes advective transport, turbulent diffusion, gas-phase chemistry and aerosol dynamics in atmospheric plumes. This mathematical model incorporates the Reactive Plume Model, which is a Lagrangian model used to describe plume dynamics consisting of six contiguous cells that expand as the plume is dispersed by atmospheric turbulence. It assumes a Gaussian distribution of the plume and takes into account interactions with the ambient air. The mathematical model also incorporates the Carbon-Bond Mechanism to model the gas-phase chemistry, which involves 73 reactions among 36 chemical species.