If `X_(M)`, `X_(P)`, and `X_(V)` are mole fraction, pressure fraction and volume fraction respectively of a gaseous mixture, then:

Options

A. `X_(m) = X_(p) = X_(v)`
B. `X_(m) = (1)/(X_(p)) = (1)/(X_(v))`
C. `X_(m) = X_(p) = (1)/(X_(v))`
D. `(1)/(X_(m)) = (1)/(X_(p)) = X_(v)`

Answer

A

Explanation

`X_(m) = (n_(A))/(n_(A) + n_(B) + n_(C))`
`X_(P) = (P_(A))/(P_(A) + P_(B) + P_(C)) = (n_(A))/(n_(A) + n_(B) + n_(C))` (For constant V and T)
`X_(V) = (V_(A))/(V_(A) + V_(B) + V_(C)) = (n_(A))/(n_(A) + n_(B) + n_(C))` (For constant P and T)