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

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

  1. A

    400 Torr and 0.80

  2. B

    400 Torr and 0.20

  3. C

    500 Torr and 0.75

  4. D

    500 Torr and 0.45

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    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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