Final answer:
By using the stoichiometric ratio of 2 mol NH3 to 3 mol H2 from the balanced equation, we find that 3 moles of ammonia is produced from 4.5 moles of hydrogen.
Step-by-step explanation:
The question involves a stoichiometric calculation based on the balanced chemical equation for the synthesis of ammonia from nitrogen and hydrogen gas:
N₂ + 3H₂ → 2NH₃
According to the balanced equation, three moles of hydrogen gas reacts to form two moles of ammonia gas. To find out how many moles of ammonia are produced from 4.5 moles of hydrogen gas, we use the stoichiometric ratio from the balanced equation:
(2 mol NH₃)/(3 mol H₂)
By setting up a proportion, we get:
(4.5 moles H₂) × (2 mol NH₃)/(3 mol H₂) = 3 moles NH₃
Therefore, 3 moles of ammonia is produced when 4.5 moles of hydrogen gas are reacted with an excess of nitrogen.