A cylinder containing an ideal gas (0.1 mol of 1.0dm3 ) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers S1 and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres equilibrium is achieved will be________ ( Given, Kfwater=2.0 K kg mol−1R=0.08 dm3atm K−1mol−1)
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answer is 2.18.
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Detailed Solution
For an ideal gasPV=nRT P=n/V×RT =0.1×0.08λT But ΔTf=kf×m×i ΔTf=2×0.5×1 = 1 273−Ts=1 Ts=272 P=0.1×0.08×272⇒2.176 At eqilibrium P1V1=PV2 2.176×1=1×V2 V2=2.176lit