A vessel is filled with a mixture of oxygen and nitrogen . At what ratio of partial pressure 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)) = 0.875p ( N_(2))`

Answer

D

Explanation

`p(O_(2))= ((m)/( 32))/((m)/(32) + ( m)/( 28))P`
`p(N_(2)) = ( ( m)/( 28))/( ( m)/( 32)+(m)/(28)) P`
`( p ( O_(2)))/(p(N_(2)))=(28)/( 32)`
or `p( O_(2)) = 0.875p ( N_(2))`