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A cylinder containing an ideal gas ( 0.1 m o l of 1.0 d m 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 If the stoppers S 1 and S 2 (as shown in the figure) are suddenly withdrawn, the volume of the gas in litres after equilibrium is achieved will be _____________. (Given, K f w a t e r = 2.0 K k g m o l - 1 , R = 0.08 d m 3 a t m K - 1 m o l

Correct answer

0

Step-by-step solution

k , = 2.0 m = 0.5 m ∆ T r = k m T i n t i a l = 272 K n = 0.1 m o l V = 1 d m 3 P g a s = n R T V = 0.1 × 0.08 × 272 1 After releasing piston P 1 V 1 = P 2 V 2 2.176 × 1 = 1 × V 2 V 3 = 2.176 d m 3

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