In the reaction for nh3 + 5 o2 equals to 4 and + 6 h2o when 1 mole of ammonia and 1 mole of oxygen are made to react
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You can see in the balanced reaction that the Ammonia and Oxygen required are in the ratio 4:5
Thus 4 moles of Ammonia requires 5 moles of oxygen.
4 NH3 ≈ 5O2
1 NH3 ≈ 1.25 O2
Now we have oxygen in less quantity as compared to Ammonia, thus Oxygen is the limiting reagent. So we balance to suit Oxygen.
4NH3 ≈ 5O2
0.8 NH3 ≈ 1 O2
Thus the reaction becomes
0.8 NH3 + 1 O2 → 0.8 NO + 1.2 H2O
Thus all of the oxygen is used. 0.2 moles of NH3 are unused and we acquire 0.8 moles of NO and 1.2 moles of H2O.
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