The plots of `(1)/(X_(A))vs.(1)/(Y_(A))` (where `X_(A)` and `Y_(A)` are the mole fraction of liquid `A` in liquid and vapour phase respectively) is linear with slope and intercept respectively are given as:
(a)`(P_A^(@))/(P_B^(@)),(P_B^(@)-P_A^(@))/(P_B^(@))`
(b)`(P_B^(@))/(P_A^(@)),(P_A^(@)-P_B^(@))/(P_A^(@))`
(c)`(P_B^(@))/(P_A^(@)),(P_B^(@))/(P_B^@-P_A^(@))`
(d)`P_A^(@)-P_B^(@),(P_A^(@))/(P_B^(@))`

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