`P_(A)and P_(B)` are the vapour pressure of pure liquid components ,Aand B respectively of an ideal binary solution,If `x_(A)` represents the mole fraction of component A, the total pressure of the solution will be

Options

A. `p_(A) + x_(A) (p_(B) - p_(A))`
B. `p_(A) + x_(A) (p_(A) - p_(B))`
C. `p_(B) + x_(A) (p_(B) - p_(A))`
D. `p_(B) + x_(A)(p_(A) - p_(B))`

Answer

D

Explanation

According to Raoult .s law ,
` p = x_(A)p_(A) + x_(B)p_(B)`
For binary solution , `X_(A) + x_(B) = 1 or x_(B) = 1 - x_(A)`
` p = x_(A)p_(A) + (1-x_(A))p_(B)`
or ` = p_(B) + x_(A) (p_(A) - P_(B))`