(a) N2 + 3H2 2NH3
Initially at eq. 0.2 0.6 0
(0.2-a) (0.6-3a) 2a
Total mixture is 0.8; 40% of it reacts, i.e, (0.8x40)/100 reacts to give (0.8x40)/100 x 1/2 mole of NH3
or NH3 formed is 0.16 mole
2a=0.16
... a=0.08
Initial mole = 0.8
Final mole = (0.2-0.08) + (0.6-0.24) +0.16 = 0.12 + 0.36 +0.16 =0.64
... Ratio of final mole to initial mole = 0.64/0.8 = =0.8 = 4/5
If you didn't understand why 1/2 was multiplied to number of moles of mixture utilized to get moles of Ammonia produced, then read below:
See the number of moles used in the first equation.
'a' mole of Nitrogen and '3a' moles of Hydrogen produce '2a' moles of Ammonia.
So, total '4a' moles of mixture result in '2a' moles of Ammonia.
Therefore, the ratio of moles of Ammonia produced from moles of mixture utilized is 2a/4a = 1/2