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Theoretical description of diffusion growth of a gas bubble after itsnucleation in supersaturated liquid solution is presented. We study theinfluence of Laplace pressure on the bubble growth. We consider two differentsolubility laws: Henry's law, which is fulfilled for the systems where no gasmolecules dissociation takes place and Sievert's law, which is fulfilled forthe systems where gas molecules completely dissociate in the solvent into twoparts. We show that the difference between Henry's and Sievert's laws forchemical equilibrium conditions causes the difference in bubble growthdynamics. Assuming that diffusion flux of dissolved gas molecules to the bubbleis steady we obtain differential equations on bubble radius for both solubilitylaws. For the case of homogeneous nucleation of a bubble, which takes place ata significant pressure drop bubble dynamics equations for Henry's and Sievert'slaws are solved analytically. For both solubility laws three characteristicstages of bubble growth are marked out. Intervals of bubble size change andtime intervals of these stages are found. We also obtain conditions ofdiffusion flux steadiness corresponding to consecutive stages. The fulfillmentof these conditions is discussed for the case of nucleation of water vaporbubbles in magmatic melts. For Sievert's law the analytical treatment of theproblem of bubble dissolution in a pure solvent is also presented.

Gas Bubble Growth Dynamics in a Supersaturated Solution: Henry's and Sievert's Solubility Laws