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 and (as

Question

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 If the stoppers  and  (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be .

(Given, (water) = 2.0 K kg mol⁻¹, )

Canvas Classes · Accepted Answer

Strategy:
 The gas is in thermal equilibrium with the freezing solution, meaning its temperature equals the freezing point of the 0.5 molal ethylene glycol. Once the stoppers are removed, the gas expands against a constant external pressure (1 atm).

Step 1: Calculate the temperature () of the system
.
Freezing point of pure water = 273 K.

Step 2: Identify initial and final states of the gas
- Initial: .
- Final: The gas reaches equilibrium when its pressure .
Since the system is in a thermal

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