Which of the following behaviours is true for an ideal binary liquid solution?

Options

A. Plot of `1//P_("total") versus Y_(A) (or Y_(B))` is nonlinear
B. Plot of `P_("total") versus Y_(A)` is linear
C. Plot of `P_("total") versus Y_(B)` is linear
D. Plot of `1//P_("total") versus Y_(A) (or Y_(B))` is linear

Answer

4

Explanation

If `Y_(A) and Y_(B)` represent the mole fraction of the components 'A' and 'B' in the vapor respectively, we have from Dalton's of partial pressures
`Y_(A)=P_(A)/P_("total")`
and
`Y_(B)=P_(B)/P_("total")`
form which we can derive the following reaction:
`1/P_(total)=1/P_(B)^(@)+(1/P_(A)^(@)-1/P_(B)^(@))Y_(A)`
`Y=C+mX` (straight line equation)
Thus, plot of `1//P_("total")` versus `Y_(A)` is a straight line with intercept equal to `1/P_(B)^(@)`.