Air-water mass transfer of organics from shallow ponds under the influence of weak wind stress on the water surface is studied numerically using a two-dimensional model. The flow held in the pond is investigated using a computational code, based on a second order finite volume approximation, which is used to numerically solve the momentum, mass and continuity conservation equations. Solutions are presented for pond aspect-ratios (length to height) ranging from 1 to 10, Reynolds numbers, based on pond depth, between 16 and 1620, and Schmidt numbers from 667 to 2020. The results show that the water phase flow field is strongly dependent on the wind-induced surface velocity and the aspect ratio of the pond. Based on the numerical study, the liquid-side mass transfer coefficient is correlated with the Reynolds number (Re-L), pond aspect ratio (AR) and the Schmidt number (Sc). Deviations from the simple penetration model increase with increasing pond aspect ratio and decreasing Reynolds number.