A one-dimensional time-dependent cumulus model was developed to study the effects of convective clouds on air pollutants. The model contains two drafts, core and periphery, surrounded by a stagnant environment. There are exchanges between the two drafts and between cloud and environment, both by dynamic entrainment/detrainment and by turbulence. Application to a "base case" with given initial conditions and producing a cloud 7 km thick is analyzed. Microphysical exchanges involved mainly cloud water, rain, and graupel. The warm rain mechanism seems to dominate, including a frozen drop stage. At lower temperatures the ice mechanism is also effective. Only a minor fraction of the SO2 entering the cloud becomes oxidized and is partly rained out to the ground as sulfate. Although H2O2 is the main and faster oxidant, O3 also contributes in a rather large proportion. Oxidation of NOx with subsequent dissolution of the acids is negligible, unless the OH radical concentration in the air is very high. Production and deposition of acidity depends on SO2 concentration in a very nonlinear way, but approximately linearly on H2O2 concentration. The acidity concentration of precipitation varies substantially under different regions of the cloud. Consideration of solutes in solid phase is shown to appreciably influence the results. The model was also applied to small, 2-km-thick cumuli, and the results compared with those of a three-dimensional model and with observations, with reasonable agreement.