The paper is concerned with the dynamics of growth or dissolution of a gas bubble in an infinite liquid, subject to arbitrarily prescribed initial and boundary conditions. The isothermal growth or dissolution is assumed to be by diffusion without convection. During the diffusive process, the effect of surface tension on the moving boundary is included in the study. It is found that the exact solutions of the problem can be established which are applicable to either growth or dissolution of a gas bubble in a supersaturated or undersaturated liquid. The convergence of the series solution is considered and proved. A numerical example of the solution is given and it is compared to some known approximate solutions. The position of the gasndash;liquid interface is of the ordert1/2astrarr;0, when the initial concentration of the gas at the interface is discontinuous, and it is of an order other thant1/2when the initial concentration is continuous. Also, in problems of growth of a bubble in a supersaturated liquid, no solution could exist when the initial concentration at the interface exceeds a certain value. This establishes a necessary condition for the existence of the solution. On the other hand, the solution for a gas bubble in an undersaturated liquid always exists. The result of the lifetime of a gas bubble is also established.
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