The rate of bubble evolution, and hence the rate of mass transport across a curved liquid‐gas interface, has been examined both theoretically and experimentally. A single gas bubble is contained in approximately 1.3 cc of a liquid‐gas solution that is closed to mass transport. This condition provides the mechanism by which the gas bubble may be placed initially in a state of stable equilibrium, and thus allow an accurate determination of the system parameters. A stirred liquid condition is achieved by rotating a micro‐stir bar within the volume, and the resultant flow pattern is characterized with laser‐doppler anemometry. Through an experimental examination on the complete dissolution of nitrogen‐gas bubbles in water, the mechanism of mass transport is shown to be consistent with a model comprised of two processes: (1) the primary and rate‐limiting process is modelled by the diffusion of gas through an unstirred liquid‐boundary layer whose thickness varies with bubble radius; and (2) a second‐order limitation is due to the nonequilibrium transport of gas across the phase boundary as predicted by a statistical rate theory expression. The theoretical model is then applied to predict the evolution of a bubble towards a state of stable equilibrium.