Vapour density of the equilibrium mixture of `NO_(2)` and `N_(2)O_(4)` is found to be `40` for the equilibrium
`N_(2)O_(4) hArr 2NO_(2)`
Calculate

Explanation

(a) For the reaction, `N_2O_4hArr 2NO_2`
Obseved value of vapour density =40
Abnormal molecular weight `=40xx2` (d=40)
(b) Theoretical molecular weight =92
`2 xx D=92`
`therefore D=(92)/2=46`
`therefore alpha=(D-d)/d=(46-40)/(40)=0.15`
(c) `{:(N_2O_4, hArr, 2NO_2),(1,"",0),((1-alpha),"",2alpha),(0.85,"",0.30):}`
Total moles at eqm. `=1 +alpha=1+0.15 =1.15`
% of `NO_2 =(2alpha)/((1+alpha))xx100`
`=(0.30)/(1.15)xx100`
=26.087 %