The vapour pressure of pure liquids A and B are 450 and 700mm Hg at 350 K
respectively. Find out the composition of the liquid mixture if total vapour
pressure is 600mm Hg. Also find the composition of the vapour phase.
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ANSWER
Given: Vapour pressure of pure liquid A, PoA=450mmofHg
Vapour pressure of pure liquid A, PoA=700mmofHg
Total vapour pressure,a Ptotal=600mmofHg
Use the formula of Raoult’s law$$
600=(450–700)XA+700
250XA=100
XA=
250
100
=0.4
Use formula
XB=1−XA
Substitute the values
we get, XB=1−0.4=0.6
use formula PA=PoA×XA=450×0.4=180mmofHg
PB=PoB×XB=700×0.6=420mmofHg
Now, in the vapour phase:
Mole fraction of liquid A=
180+420
180
=0.30
Mole fraction of liquid B,YB=1−YA=1–0.30=0.70
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