S Stoppers A container is divided into two compartments, A and B, with volumes of 200 L and 1 L respectively. Compartment B contains 0.6 m o l each of liquid X and Y only. When the stoppers are remove

Question

S Stoppers

A container is divided into two compartments, A and B, with volumes of $200 L$ and $1 L$ respectively. Compartment B contains $0.6 m o l$ each of liquid X and Y only. When the stoppers are removed, the piston rises slowly and comes to rest with only traces of the liquid mixture remaining. Calculate the mass of Ar(g) taken in compartment A (in grams). The vapor pressures of pure liquids X and Y are $0.1 ba r$ and $0.3 ba r$ respectively. The entire process is isothermal at $300 K$ . The thickness of the piston is negligible.

(Take $R = \frac{1}{12} L ba r m o l^{- 1} K^{- 1}$ ; Ar = $40 g m o l^{- 1}$ )

TestHub · Accepted Answer

Vapor pressure in 'B': P 1 ​ = P A o ​ Y A ​ ​ + P B o ​ Y B ​ ​ P 1 ​ = 0.1 0.5 ​ + 0.3 0.5 ​ P = 20 3 ​ Volume of vessel 'B': P V = n RT 20 3 ​ × V = 1.2 × 12 1 ​ × 300 V = 200 L Volume of vessel A = 1 L. Mole of Ar: P V = n RT 20 3 ​ × 1 = n × 12 1 ​ × 300 n = 500 3 ​ M a ss = 500 3 ​ × 40 = 0.24 g

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