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For an ideal binary liquid solutions wit...

For an ideal binary liquid solutions with `P_(A)^(@)gtP_(B)^(@)`, which relation between `X_(A)` (mole fraction of `A` in liquid phase) and `Y_(A)` (mole fraction of `A` in vapour phase) is correct:

A

`X_(A)=Y_(A)`

B

`X_(A)gtY_(A)`

C

`(X_(A))/(X_(B))lt(Y_(A))/(Y_(B))`

D

`X_(A),Y_(A),X_(B)` and `Y_(B)` cannot be correlated

Text Solution

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The correct Answer is:
C
Mole fraction more volatile substance is greater in vapour phase.
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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 :

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 Mole fraction of A in liquid phase when 10 moles of solution is vapoursied in solution II is :

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