the situation when the solvent is in its stable liquid state; therefore, we assume that the bubble consists of gas only, but not of the solvent vapor. The gas in the bubble is considered to be ideal.

When the bubble is studied after some time $t_0$ since its nucleation, its radius complies with the strong inequality $$\label{R>>Laplace}
R \gg 2 \sigma /\Pi\; ,$$ where $\sigma$ is the surface tension of the pure solvent (it is true while the solution is considered as diluted). Eq. (\[R&gt;&gt;Laplace\]) allows us to neglect the influence of Laplace pressure on the bubble growth. Therefore, we can write the following equations for the pressure in the bubble $P_R$ and for the equilibrium solution concentration near the surface of the bubble $n_R$: $$\label{P=Pi}
P_R = \Pi\; ,$$ $$\label{n_R=n_inf}
n_R = n_{\infty}\; .$$ The subscripts $\infty$ denotes that the equilibrium concentration $n_\infty$ is related with the equilibrium near the flat surface of phase separation ($R \rightarrow \infty$). From Eq. (\[P=Pi\]) it follows that the gas concentration in the bubble $n_g$ is constant. Using the ideal gas law we have $$\label{n_g}
n_g = \frac{\Pi}{k T}\; .$$ When Eqs. (\[R&gt;&gt;Laplace\]), (\[P=Pi\]), and (\[n\_R=n\_inf\]) are fulfilled and, therefore, Laplace pressure is 