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A cylinder containing an ideal gas (0.1 ...

A cylinder containing an ideal gas (`0.1 mol of 1.0dm^3`) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at it's 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 If the stoppers `S_1 and S_2` ( as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be (Given, `K_f` (water) = `2.0 K kg mol ^(-1), R = 0.08 dm^(3) atm K^(-1)mol^(-1))`

A

1.14

B

0.57

C

2.18

D

4.36

Text Solution

Verified by Experts

The correct Answer is:
C
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0.1 ml of an ideal gas has volume 1 dm^3 in a locked box with friction less piston. The gas is in thermal equilibrium with excess of 0.5 m aqueous ethylene glycol at its freezing point. If piston is released all of a sudden at 1 atm then determine the final volume of gas in dm^3 (R = 0.08 atm L mol^(–1) K ^(–1) K_f = 2.0 K molal ^(–1) ) .

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