Liquids A and B form ideal solution over the entire range of composition. At temperature T , equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new so

Question

Liquids A and B form ideal solution over the entire range of composition. At temperature T , equimolar binary solution of liquids A and B has vapour pressure 45 Torr. At the same temperature, a new solution of A and B having mole fractions $x_{A}$ and $x_{B}$ , respectively, has vapour pressure of 22.5 Torr. The value of $x_{B} / x_{A}$ in the new solution is $____$ .

(given that the vapour pressure of pure liquid A is 20 Torr at temperature T)

TestHub · Accepted Answer

45 = 2 P A o ​ + P B o ​ ​ ​ P A o ​ + P B o ​ = 90 P A o ​ = 20 P B o ​ = 70 22.5 = 20 x A ​ + 70 x B ​ 22.5 = 20 ( 1 − x B ​ ) + 70 x B ​ 50 x B ​ = 2.5 x B ​ = 50 2.5 ​ = 20 1 ​ x A ​ = 20 19 ​ [ x B ​ / x A ​ = 19 1 ​ = 0.052 ] ​

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