Two liquids A and B form an ideal solution. The solution has a vapour pressure of 700 torr at 8 0 ∘ C . It is distilled till 2/ 3 rd of the solution is collected as condensate. The composition of the

Question

Two liquids A and B form an ideal solution. The solution has a vapour pressure of 700 torr at 8 0 ∘ C . It is distilled till 2/ 3 rd of the solution is collected as condensate. The composition of the condensate is X A ​ = 0.75 and that of the residue is X A ​ ′′ = 0.30 . If the vapour pressure of the residue at 8 0 ∘ C is 600 torr which of the following is/are True?

TestHub · Accepted Answer

X A ​ P A 0 ​ + X B ​ P B 0 ​ = 700 ⇒ X A ′′ ​ P A 0 ​ + X B ′′ ​ p B 0 ​ = 0.30 p A 0 ​ + 0.70 p B 0 ​ = 600 If moles of A and B initially are x and y then x = 0.75 × 3 2 ​ ( x + y ) + 0.30 × 3 1 ​ ( x + y ) , and X A ​ = x + y x ​ or X B ​ = x + y y ​ Solving gives, X A ​ = 0.6 , X B ​ = 0.4 , p A 0 ​ = 3 2500 ​ Torr and p B 0 ​ = 500 Torr

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