The plots of `(1)/(X_(A))` ( on `y-` axis ) vs `(1)/(Y_(A))` ( on `x-` axis) ( where `X_(A)` and `Y_(A)` are the mole fractions of liquid `A` in liquid and vapour phase respectively ) is linear with slpe and `y-` intercept respectively.

Options

A. `(P_(A)^(@))/(P_(B)^(@))` and `((P_(A)^(@)-P_(B)^(@)))/(P_(B)^(@))`
B. `(P_(B)^(@))/(P_(A)^(@))` and `((P_(A)^(@)-P_(B)^(@)))/(P_(B)^(@))`
C. `(P_(A)^(@))/(P_(B)^(@))` and `((P_(B)^(@)-P_(A)^(@)))/(P_(B)^(@))`
D. `(P_(B)^(@))/(P_(A)^(@))` and `((P_(B)^(@)-P_(A)^(@)))/(P_(B)^(@))`

Answer

3

Explanation

`P+P_(A)^(@)X_(A)+P_(B)^(@)(1-X_(A))` and
`P_(A)^(@)X_(A)=Y_(A)P=Y_(A)[P_(A)^(@)X_(A)+P_(B)^(@)(1-X_(A))]`
so, so, `(1)/(Y_(A))=1+(P_(B)^(@))/(P_A^(@))((1)/(X_(A))-1)" "so, " "x=1+(P_(B)^(@))/(P_(A)^(@))(y-1)`
Hence `rArr(x-1)(P_(B)^(@))/(P_(A)^(@))+1=y" "so," y=mx+C` give the result