Home
Class 12
CHEMISTRY
For an ideal binary solution (A) and (B)...

For an ideal binary solution (A) and (B), `y_(A)` is the mole fraction of A in vapour phase. Which of the following plot should be linear?

A

`P_("Total")` vs `y_(A)`

B

`P_("Total")` vs `y_(B)`

C

`(1)/(P_("Total"))` vs `y_(A)`

D

`(1)/(P_("Total"))` vs `(y_(B)+y_(A))`

Text Solution

Verified by Experts

The correct Answer is:
C
`P_("Total") = x_(A)p_(A)^(@) +x_(B)p_(B)^(@)`
`= x_(A)p_(A)^(@) +(1-x_(A))p_(B)^(@)`
`= x_(A) (p_(A)^(@) -p_(B)^(@)) +p_(B)^(@)`
`x_(A) = (P_("Total")-p_(B)^(@))/((p_(A)^(@)-p_(B)^(@)))` ...(i)
Now, `y_(A) = (p_(A))/(P_("Total")) = (x_(A)p_(A)^(@))/(P_("Total"))`
`x_(A) = (y_(A)P_("Total"))/(p_(A)^(@))` ...(ii)
Eliminate `x_(A)` between (i) and (ii)
`(P_("Total")-p_(B)^(@))/(p_(A)^(@)-p_(B)^(@))=(y_(A)P_("Total"))/(p_(A)^(@))`
`(P_("Total")-p_(B)^(@))/(P_("Total"))=((p_(A)^(@)-p_(B)^(@))/(p_(A)^(@)))y_(A)`
`1 -(p_(B)^(@))/(P_("Total")) = ((p_(A)^(@)-p_(B)^(@))/(p_(A)^(@)))y_(A)`
`(p_(B)^(@))/(P_("Total")) = 1- ((p_(A)^(@)-p_(B)^(@))/(p_(A)^(@)))y_(A)`
`(1)/(P_("Total")) =(1)/(p_(B)^(@)) -(p_(A)^(@)-p_(B)^(@))/(p_(A)^(@)p_(B)^(@))`
`(1)/(P_("Total"))` is a linear function of `y_(A)`.
Promotional Banner

Topper's Solved these Questions

  • SOLUTIONS

    DINESH PUBLICATION|Exercise REVISION QUESTION|186 Videos

  • SOLUTIONS

    DINESH PUBLICATION|Exercise OBJECTIVE TYPE MCQs|47 Videos

  • SOLID STATE

    DINESH PUBLICATION|Exercise Brain storming|10 Videos

  • SOME BASIC CONCEPTS OF CHEMISTRY

    DINESH PUBLICATION|Exercise ULTIMATE PREPARATORY PACKAGE|20 Videos

Similar Questions

Explore conceptually related problems

For an ideal binary liquid solution with P_(A)^@gtP_(B)^@x_(A) and y_(A) represent the mole fraction of A in liquid phase and vapour phase respectively whereas x_(B) and y_(B) represent the mole fraction of B inliquid phase and vapour phase respectively, therefore which of the following relation is correct?

Two liquids A and B have vapour pressure in the ratio P_A^@ : P_B^@=1:3 at a certain temperature. Assume A and B form an ideal solution and the ratio of mole fractions of A to B in the vapour phase is 4:3. Then the mole fraction of B in the solution at the same temperature is :-

P_(A)and P_(B) are the vapour pressure of pure liquid components ,Aand B respectively of an ideal binary solution,If x_(A) represents the mole fraction of component A, the total pressure of the solution will be

An ideal solution is prepared from A and B (both are volatile). The composition of the solution is such that the total vapour pressure is harmonic mean of vapour pressures of pure A(P_(A)^(@)) and pure B(P_(B)^(@)).[P_(A)^(@) ne P_(B)^(@)] If x_(A), x_(B) represents mole freaction of A and B in solution respectively and y_(A) and Y_(B) represents mole fraction of A and b in vapour phase, then answer the following questions. If the total vapour pressure is half the value mentioned in the above comprehension, then which of the following must be ture?

An ideal solution is prepared from A and B (both are volatile). The composition of the solution is such that the total vapour pressure is harmonic mean of vapour pressures of pure A(P_(A)^(@)) and pure B(P_(B)^(@)).[P_(A)^(@) ne P_(B)^(@)] If x_(A), x_(B) represents mole freaction of A and B in solution respectively and y_(A) and Y_(B) represents mole fraction of A and b in vapour phase, then answer the following questions. In the above comprehension, isothermal fractional distillation(s) will never form a solution :

An ideal solution is prepared from A and B (both are volatile). The composition of the solution is such that the total vapour pressure is harmonic mean of vapour pressures of pure A(P_(A)^(@)) and pure B(P_(B)^(@)).[P_(A)^(@) ne P_(B)^(@)] If x_(A), x_(B) represents mole freaction of A and B in solution respectively and y_(A) and Y_(B) represents mole fraction of A and b in vapour phase, then answer the following questions. According to the comprehensin, what shall be vapour pressure of distillate ?

An ideal solution is prepared from A and B (both are volatile). The composition of the solution is such that the total vapour pressure is harmonic mean of vapour pressures of pure A(P_(A)^(@)) and pure B(P_(B)^(@)).[P_(A)^(@) ne P_(B)^(@)] If x_(A), x_(B) represents mole freaction of A and B in solution respectively and y_(A) and Y_(B) represents mole fraction of A and b in vapour phase, then answer the following questions. The value of y_(A) is equal to :

An ideal solution is prepared from A and B (both are volatile). The composition of the solution is such that the total vapour pressure is harmonic mean of vapour pressures of pure A(P_(A)^(@)) and pure B(P_(B)^(@)).[P_(A)^(@) ne P_(B)^(@)] If x_(A), x_(B) represents mole freaction of A and B in solution respectively and y_(A) and Y_(B) represents mole fraction of A and b in vapour phase, then answer the following questions. The value of x_(A) is :