The vapour pressure of pure liquids A and B are 450 and 700 mm hg respectively ,at 300 k . Find out the composition of the liquid mixture if total vapour pressure is 600 mmHg . Also find the composition of the vapour phase.
The vapour pressure of pure liquids A and B are 450 and 700 mm Hg respectively. at 350 K. Find out the composition of the liquid mixture if total vapour pressure is 600 mm Hg. Also, find the composition of the vapour phase.
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Given: Vapour pressure of pure liquid A, PoA=450mmofHg
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The vapour pressure of pure liquids A and B are 450 and 700 mm Hg respectively. at 350 K. Find out the composition of the liquid mixture if total vapour pressure is 600 mm Hg. Also, find the composition of the vapour phase.
Hard
Solution
verified
Verified by Toppr
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