Eq. (\[Chem-Eq\]) means that the boundary condition for the gas diffusion problem will be different for Henry’s and Sievert’s laws. The change of boundary condition, as we will see further, leads to the change of bubble dynamics.

Bubble Dynamics Equation
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After the nucleation of the bubble, when its growth can be considered regular (i.e. the bubble cannot be dissolved by fluctuations), its growth is governed by the diffusion flux of gas molecules into it. In this paper we will study the case when the diffusion flux can be assumed as steady. The conditions when such approximation is valid will be discussed further.

Taking into account the equality of gas concentration at the bubble surface to the equilibrium concentration $n_R$ and the equality of gas concentration far from the bubble to the initial concentration $n_0$, we can write a simple expression for the steady diffusion flux density $j_D$ $$\label{Flux}
j_D = D \frac{n_0 - n_R}{R}\; .$$ Here $D$ is the diffusion coefficient of gas molecules in the pure solvent (we assume that the solution is diluted).

Now let us write the expression for the number of gas molecules $N$ in the bubble. Exploiting the ideal gas law and using Eq. 