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The vapour pressure of two pure liquids ...

The vapour pressure of two pure liquids A and B which form an ideal solution are 300 and 800 torr, respectively, at temperature T. A liquid solution of A and B for which the mole fraction of A is 0.60 is contained in a cylinder closed by piston on which the pressure can be varied. The solution is slowly vapourized at temperature T by decreasing the applied pressure, starting with a pressure of about 1 atm. Based on this information, answer the following questions
The composition of the last droplet of liquid will be

A

`x_(A)= 0.40`

B

`x_(A)= 0.60`

C

`x_(A)= 0.80`

D

`x_(A)= 0.90`

Text Solution

Verified by Experts

The correct Answer is:
C
When the last drop of liquid remains the composition of A vapour phase will be equal to 0.60 as most of the liquid has vapourized. Hence.
`y_(A)= (p_(A))/(p_("total")) (x_(A) P_(A)^(@))/(x_(A) + P_(A)^(@) + x_(B) P_(B)^(@))= (x_(A) P_(A)^(@))/(P_(B)^(@) + (P_(A)^(@) - P_(B)^(@))x_(A)) i.e., 0.60= (x_(A) (300 "Torr"))/("800 Torr" -(300 "Torr" -800 "Torr")x_(A))`
Solving for `x_(A)`, we get `x_(A)+ 0.80`
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Knowledge Check

  • The vapour pressure of two pure liquids A and B which form an ideal solution are 300 and 800 torr, respectively, at temperature T. A liquid solution of A and B for which the mole fraction of A is 0.60 is contained in a cylinder closed by piston on which the pressure can be varied. The solution is slowly vapourized at temperature T by decreasing the applied pressure, starting with a pressure of about 1 atm. Based on this information, answer the following three questions The composition of the first bubble of vapour will be

    A
    `y_(A)= 0.36`
    B
    `y_(A)= 0.64`
    C
    `y_(A)= 0.46`
    D
    `y_(A)= 0.54`

  • The vapour pressure of two pure liquids A and B which form an ideal solution are 300 and 800 torr, respectively, at temperature T. A liquid solution of A and B for which the mole fraction of A is 0.60 is contained in a cylinder closed by piston on which the pressure can be varied. The solution is slowly vapourized at temperature T by decreasing the applied pressure, starting with a pressure of about 1 atm. Based on this information, answer the following three questions The pressure of the vapour when the last droplet of liquid remains will be

    A
    300 torr
    B
    400 torr
    C
    500 Torr
    D
    600 torr

  • The vapour pressure of two liquids X and Y are 80 and 60 Torr respectively. The total vapour pressure of the ideal solutions obtained by mixing 3 moles of X and 2 moles of Y would be

    A
    a) 68Torr
    B
    b) 140Torr
    C
    c) 48Torr
    D
    d) 72Torr

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