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…

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 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

\frac{x_{A}}{x_{B}}

, in the new solution is ____.
(Given that the vapour pressure of pure liquid A is

20 Torr

at temperature

T

)

Aicharya · Accepted Answer

45 = P A o &#215; 1 2 + P B o &#215; 1 2 P A o + P B o = 90 .... i Given, P A o = 20 &#160; Torr P B o = 70 &#160; Torr &#8658; 22 .5 &#160; torr = 20 x A + 70 1 - x A = 70 - 50 &#160; x A . x A = 70 - 22 .5 50 = 0 .95 x B = 0 .05 So, X A X B = 0 .95 0 .05 = 19 .

Liquids A and B form ideal solution over the entire range of composition. At temperature T , equimolar…

Solution