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 A / x B in the new solution is ____. (given that the vapour pressure of pure liquid Α is 20 Torr at temperature T)
Text Solution
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(19)
p T = p º A X A + p º B X B
45 = 20(0.5) + 
22.5 = 20 X A + 70(1 – X A )
50X A = 47.5
X A = 
= 0.95
X B = 0.05
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