A vessel is filled with a mixture of oxygen and nitrogen. At what ratio of partial pressures will the mass of gases be identical?

Options

A. p`(O_(2))` = 0.5 p`(N_(2))`
B. p`(O_(2))` = p`(N_(2))`
C. p`(O_(2))` = 1.14 p`(N_(2))`
D. p`(O_(2))` = 0.875 p`(N_(2))`

Answer

D

Explanation

n`(O_(2))=(w)/(32), n(N_(2))=(w)/(28),`
`P(O_(2))=(w//32)/(w//32+w28)xxP`
`p(O_(2))=(w//28)/(w//32+w28)xxP`
`p(O_(2)) : p(N_(2))=(w)/(32) : (w)/(28)=28 : 32 =7 :8`
or `p(O_(2))=(7)/(8)p(N_(2)) =0.875 p(N_(2))`