The total pressure exerted in ideal binary solution is given by `P = P_(A)^(@)X_(A) + P_(B)^(@) X_(B) " where " P_(A)^(@) & P_(B)^(@)` are the respective vapour pressure of pure components and `X_(A) & X_(B)` are their mole fraction in liquid phase. And composition of the vapour phase is determined with the help of Dalton's law of partial pressure. `Y_(A) = (P_(A)^(@) X_(A))/(P)`
If total pressure exerted in an ideal binary solution is given by `P = (5400)/(60 + 30Y_(A))mm " of " Hg`.
The value of `P_(A)^(@)` is

Options

A. 40mm of Hg
B. 30 mm of Hg
C. 60 mm of Hg
D. 90 mm of Hg

Answer

C