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QJEEM20Che670: JEE Main 2020 Chemistry - Class 12 JEEM20Che670 Solution: A cylinder containing an ideal gas (0.1 mol of 1.0 dm 3 ) is in …

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 If the stoppers S1 and S2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be____.

(Given, Kf (water) = 2.0 K kg mol–1,
R = 0.08 dm3 atm K–1 mol–1)

JEE Main 2020 (Online) 9th January Evening Slot Chemistry - Solutions Question 103 English

Step-by-Step Verified Solution

For aqueous solution

Δ\Delta Tf = Kf.m = 2 × 0.5

∴\therefore Temperature of solution = –1°C = 272 K

∴\therefore Final volume of ideal gas = nRTP{{nRT} \over P}

= 0.1×0.08×2721{{0.1 \times 0.08 \times 272} \over 1}

= 2.18 L

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