The vapour pressure of pure liquids A and B are 450 and 700 mm hg respectively ,at 350k. Find out the composition of the liquid mixture if total vapour pressure is 600mmhg. Also find the composition of the vapour phase
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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= 100/250
=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=180 mm of Hg
PB=PoB× XB=700×0.6=420 mm of Hg
Now, in the vapour phase:
Mole fraction of liquid A= 180/180+420
=0.30
Mole fraction of liquid B,YB=1−YA=1–0.30=0.70
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