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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 T o r r . 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 T o r r . The value of x A x B , in the new solution is ____. (Given that the vapour pressure of pure liquid A is 20 Tor

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Step-by-step solution

45 = P A o × 1 2 + P B o × 1 2 P A o + P B o = 90 .... i Given, P A o = 20   Torr P B o = 70   Torr ⇒ 22 .5   torr = 20 x A + 70 1 - x A = 70 - 50   x A . x A = 70 - 22 .5 50 = 0 .95 x B = 0 .05 So, X A X B = 0 .95 0 .05 = 19 .

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