melt \[\[Lensky\]\]; however, it is not valid for the solution of $\rm H_2O$ vapor \[\[Chernov-2004\], \[Navon\]\]. In this case, which is crucial for practical reasons, Sievert’s law is observed: the equilibrium concentration of the dissolved gas is proportional to the square root of the solution pressure \[\[Stolper\]\]. Sometimes both cases are referred to as “Henry’s law”, but in the present paper, in order to avoid confusion, we will use the term “Sievert’s law” for the case with a square root, following e. g. \[\[Cable-Frade\]\]. Here we analyze the bubble growth dynamics in both cases: for Henry’s and Sievert’s laws. For Sievert’s law we obtain the equation for the bubble radius as a function of time analogous to \[\[Epstein-Plesset\]\], which has not been obtained previously.

Our analysis shows that, irrespective of the law applied to gas solubility, three characteristic stages can be marked out in the growth dynamics. During the first stage the bubble radius is growing with an increasing rate. On the second stage the growth rate decreases. The third stage, when the growth rate continues to decrease, begins when the Laplace pressure inside the bubble becomes comparable with the external pressure of the solution. We demonstrate that during the 