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Consider a ideal solution of component 1...

Consider a ideal solution of component 1 and component 2 component 1 being more volatile `x_(1)` and `x_(2)` represent the respective liquid phase compositions at equilibrium while `y_(1),y_(2)` denote the respective vapour phase compositions at equilibrium. `p_(1),p_(2)` are respective partial pressure in vapour phase at equilibrium which of the following is/are necessarly are?

A

`p_(1)gtp_(2)`

B

`y_(1)lty_(2)`

C

`y_(1)gtx_(1)`

D

`x_(2)gty_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Vapour phase becomes richer in more volatile component compared to liquid phase. This implies `y_(1)gtx_(1)`
if `P_(T)` is total vapour pressure of the solution and `P_(1)^(@)` is VP on pure component 1 then `P_(T)ltP_(1)^(@)` as per raoult's law, since is the more volatile component. Mathematically,
`y_(1)=x_(1)(P_(1)^(0)//P_(T))`
Thus, `y_(1)gtx_(1)` which in turm implies `x_(2)gty_(2)` because `x_(1)+x_(2)=1,y_(1)+y_(2)=1`.
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