A vessel is filled with a mixture of `O_(2)` and `N_(2)`. At what ratio of partial pressures will be the mass of gases be identical

Options

A. `P_((O_(2)))=8.75P_((N_(2)))`
B. `P_((O_(2)))=0.78P_((N_(2)))`
C. `P_((O_(2)))=0.875P_((N_(2)))`
D. `P_((O_(2)))=11.4P_((N_(2)))`

Answer

C

Explanation

(c) `(x)/(32)+(x)/(28)=(60x)/(32xx28)`,
`PV=nRT`,
`P_(1)V=(x)/(32)RT,P_(2)V=(x)/(28)RT`
`therefore 32P_(O_(2))=28P_(N_(2))`
or, `P_(O_(2))=0.875P_(N_(2))`