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Question: Answered & Verified by Expert
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 If the stoppers S1 and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be
(Given, Kf (water) = 2.0 K kg mol-1 , R = 0.08 dm3 atm K-1mol-1 )
ChemistrySolutionsNEET
Options:
  • A 1.14
  • B 0.57
  • C 2.18
  • D 4.36
Solution:
2658 Upvotes Verified Answer
The correct answer is: 2.18
ΔTf=Kf×i×m
ΔTf=2.0×1×0.5
ΔTf=1
273-Ti=1
Ti=272K
P=nRTV
P=0.1×0.08×2721
P=2.176 atm
Apply Boyle's law
P1V1=P2V2
2.176×1=1×V2
V2=2.17

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