A new axisymmetrical two-dimensional heterogeneous mass transfer (ATHMT) model has been proposed to describe the mass transfer rate for a gas-liquid-liquid system containing droplets which are less than, equal to, or even larger than the liquid film thickness. The model accounts for droplet-droplet and droplet-film interactions. The finite-difference technique has been used to solve the model equations. The effect of dispersed phase holdup, droplet size, partition coefficient and chemical reaction on the mass transfer enhancement has been discussed. The experimental data available in the literature have been used to verify the model, and the agreement has been found to be fair.