Liquids A and B form an ideal solution in the entire composition range. At 350 K , the vapor pressures of pure A and pure B are 7 × 1 0 3 Pa and 12 × 1 0 3 Pa , respectively. The composition of the va

Question

Liquids A and B form an ideal solution in the entire composition range. At 350 K , the vapor pressures of pure A and pure B are 7 × 1 0 3 Pa and 12 × 1 0 3 Pa , respectively. The composition of the vapour is in equilibrium with a solution containing 40 mole percent of A at this temperature is:

TestHub · Accepted Answer

P A ∘ ​ = 7 × 1 0 3 P B ∘ ​ = 12 × 1 0 3 x A ′ ​ = 0.4 ; x B ′ ​ = 1 − 0.4 x B ′ ​ = 0.6 P total ​ = P A ∘ x A ′ ​ ​ + P B ∘ ​ x B ′ ​ = 7 × 1 0 3 × 0.4 + 12 × 1 0 3 × 0.6 = ( 7 × 0.4 + 12 × 0.6 ) × 1 0 3 = 1 0 4 x A ​ = P total ​ P A ∘ x ′ ​ A ​ = 1 0 4 7 × 1 0 3 × 0.4 ​ ∴ x A ​ = 0.28 , x B ​ = 1 − 0.28 = 0.72

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