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For an ideal binary liquid solution with...

For an ideal binary liquid solution with `p_(A)^(@) gt p_(B)^(@),` which is a relation between `X_(A)` (mole fraction of A in liquid phase) and `Y_(A)` (mole fraction of A in vapour phase) is correct, `X_(B) and Y_(B)` are mole fractions of B in liquid and vapour phase respectively?

A

`X_A = Y_A`

B

`X_A gt Y_A`

C

`(X_A)/(X_B) lt (Y_A)/(Y_B)`

D

`X_A, Y_A, X_B and Y_B` cannot be correlated

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The correct Answer is:
C
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Consider two cylinder piston assembly as shown in figure (a) and in figure (b) are kept in vacuum. Assume both piston are massless. Let two masses m_(1) and m_(2) are kept on the piston as shown in figure. Values of m_(1) and m_(2) are in the range in which both liquid and vapour phase coexist and are in equilibrium. Solution I contains 10 moles of liquid A and 10 moles of liquid B while solution II contains 8 moles of liquid A and 12 moles of liquid B. Let liquids A and B are completely miscible and form an ideal binary solution. Given : P_(A)^(@) = 100 torr, P_(B)^(@) = 60 torr, Let X_(A) = mole fraction of A in liquid phase in solution I X'_(A) = mole fraction of A in liquid phase in solution II Y_(A) = mole fraction of A in vapour phase in solution I Y'_(A) = mole fraction of A in vapour phase in solution II If m_(1) = m_(2) then :

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