  Theoretical description of diffusion growth of a gas bubble after its
nucleation in supersaturated liquid solution is presented. We study the
influence of Laplace pressure on the bubble growth. We consider two different
solubility laws: Henry's law, which is fulfilled for the systems where no gas
molecules dissociation takes place and Sievert's law, which is fulfilled for
the systems where gas molecules completely dissociate in the solvent into two
parts. We show that the difference between Henry's and Sievert's laws for
chemical equilibrium conditions causes the difference in bubble growth
dynamics. Assuming that diffusion flux of dissolved gas molecules to the bubble
is steady we obtain differential equations on bubble radius for both solubility
laws. For the case of homogeneous nucleation of a bubble, which takes place at
a significant pressure drop bubble dynamics equations for Henry's and Sievert's
laws are solved analytically. For both solubility laws three characteristic
stages of bubble growth are marked out. Intervals of bubble size change and
time intervals of these stages are found. We also obtain conditions of
diffusion flux steadiness corresponding to consecutive stages. The fulfillment
of these conditions is discussed for the case of nucleation of water vapor
bubbles in magmatic melts. For Sievert's law the analytical treatment of the
problem of bubble dissolution in a pure solvent is also presented.
