JEE Main 2020 — Solutions Question with Solution

A cylinder containing an ideal gas ( $0.1\mathrm{}\mathrm{m}\mathrm{o}\mathrm{l}$ of $1.0\mathrm{}\mathrm{d}{\mathrm{m}}^3$ ) is in thermal equilibrium with a large volume of $0.5$ molal aqueous solution of ethylene glycol at its freezing point. If the stoppers ${\mathrm{S}}_1$ and ${\mathrm{S}}_2$ (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be _____________.
(Given, ${\mathrm{K}}_{\mathrm{f}}\left(\mathrm{w}\mathrm{a}\mathrm{t}\mathrm{e}\mathrm{r}\right)=2.0\mathrm{K}\mathrm{k}\mathrm{g}\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1},\left.\mathrm{R}=0.08\mathrm{d}{\mathrm{m}}^3\mathrm{a}\mathrm{t}\mathrm{m}\mathrm{}{\mathrm{K}}^{-1}\mathrm{m}\mathrm{o}{\mathrm{l}}^{-1}\right)$