1. Tardigrade
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  3. Chemistry
  4. A cylinder containing an ideal gas (0.1 mol of 1.0 dm3) 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 If the stoppers S1 and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved w ill be. (Given, Kf(water) = 2.0 K kg mol-1, R = 0.08 dm3 atm K -1 mol-1) Given 552

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Q. A cylinder containing an ideal gas ($0.1\,mol$ of $1.0\, dm^3$) is in thermal equilibrium with a large volume of 0.5 molal aqueous solution of ethylene glycol at its freezing point. If the stoppers $S_1$ and $S_2$ (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved w ill be__________.
(Given, $K_f$(water) $= 2.0 \,K\, kg\, mol^{-1}, R = 0.08\, dm^3\,$ atm $K^ {-1}\, mol^{-1}$)
Given 552Chemistry Question Image

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Solution:

$0-T _{f ' } =2\times0.5=1$
$T_{f '}=- 1ºC = 272 K
for gas P=\frac{0.1\times0.08\times272}{1}$
$P=2.176 atm
P_{1}V_{1}=P_{2}V_{2}$
$2.176\times1=1\times V_{2}$
$V_{2}=2.176 \, litre$