10 moles each of a and b are mixed to obtain an ideal.solution in a closed container at 300 k . if p°a = 200 torr and p°b = 800 torr . find the vapour density of the solution when half of the mixture has been vaporized
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Correct option is D)
Let P be the total pressure. Let x be the number of moles of A in the liquid state.
The number of moles of the vapour state will be 10−x.
Let y be the number of moles of B in the liquid state
The number of moles of B in vapour state will be 10−y.
Hence, x+y=10
P×
(10−x+10−y)
(10−x)
=200×
(x+y)
(x)
P×
(10−x+10−y)
(10−y)
=
(x+y)
100×(y)
These equations are solved for x, y and P.
x=4.142
y=5.858
P=141.4 mm Hg
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