question_answer

A cylinder containing an ideal gas (\[0.1\text{ }mol\]of\[1.0\,d{{m}^{3}}\]) is in thermal equilibrium with a large volume of \[0.5\text{ }molal\] aqueous solution of ethylene glycol at its freezing point. If the stoppers \[{{S}_{1}}\]and \[{{S}_{2}}\] (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be ________ . (Given, \[{{K}_{f}}\](water) \[=2.0K\,\,kg\,\,mo{{l}^{-1}},\] \[R=0.08\,\,d{{m}^{3}}atm\,{{K}^{-1}}\,mo{{l}^{-1}}\]) [JEE MAIN Held on 09-01-2020 Evening]

Answer:

2.18