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Q.

The mole fraction of liquid A in a binary liquid solution of ApA=300 Torr and BpB=800 Torr  is 0.6. The pressure at which last droplet of liquid is vapouried and the mole fraction of A in this last droplet, respectively, are

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a

500 Torr and 0.75

b

400 Torr and 0.80

c

400 Torr and 0.20

d

500 Torr and 0.45

answer is B.

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Detailed Solution

When the last droplet of liquid is vapourized, the composition of vapour formed will be yA=0.60 (given composition of the liquid solution).

Hence, yA=pAp=xApAxApA+xBpB=xApApB+pApBxA

i.e.  0.60=xA(300 Torr )800 Torr +(300 Torr 800 Torr )xA

Solving for xA, we get xA=0.80.

The pressure of the vapour will be p=xApA+xBpB=(0.80)(300 Torr )+(0.20)(800 Torr )=400 Torr 

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