This paper presents a study of the growth or collapse of a spherical gas bubble being injected into a quiescent liquid of different compositions. The influence of translatory bubble velocity is given particular attention. Consideration is given to the case in which the bubble dynamics is governed by heat and mass transfer between the bubble and the liquid. By approximating the flow around the bubble as irrotational, two asymptotic solutions, valid for small and large times, respectively, are obtained for the thermal boundary layer over the bubble through the use of a coordinate perturbation technique. The bubble behavior in the two time domains is satisfactorily joined at a certain time interval. It is disclosed that the transient bubble size, interfacial temperature, and interfacial gas composition are governed by four dimensionless parameters. Translatory bubble motion is shown to cause a significant increase in the growth rate, an effect also provided by an increase in the Jakob number. Experimental results are cited and a favorable comparison with the theory is obtained.