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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

`"Y"_("A")lt"Y"_("B")`

B

`"X"_("A")gt"X"_("B")`

C

`("Y"_("A"))/("Y"_("B"))gt("X"_("A"))/("X"_("B"))`

D

`("Y"_("A"))/("Y"_("B"))lt("X"_("A"))/("X"_("B"))`

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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 :

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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