Answer:
a) NH₃ is the limiting reactant
b) 44.1 g NO
c) 39.7 g H₂O
Explanation:
The chemical equation is the following:
4 NH₃(g) + 5 O₂(g) → 4 NO(g) + 6 H₂O(l)
According to the balanced chemical equation, 4 moles of NH₃ reacts with 5 moles of O₂ to produce 4 moles of NO and 6 moles of H₂O.
a) To determine which is the limiting reactant we have to compare the stoichiometric amounts of reactants (NH₃ and O₂) with the actual amounts.
Stoichiometric amounts:
Molecular weight of NH₃= 14 g/mol + (1 g/mol x 3) = 17 g/mol
Stiochiometric amount of NH₃ = 4 moles NH₃ x 17 g/mol = 68 g NH₃
Stiochiometric amount of O₂ = 5 moles
⇒ Stiochiometric ratio = 68 g NH₃/5 moles O₂
Then, we multiply the stoichiometric ratio by the actual amount of O₂ to calculate the required amount of NH₃:
required NH₃ = 4 moles O₂ x 68 g NH₃/5 moles O₂ = 54.4 g NH₃
Thus, we need 54.4 grams of NH₃ to completely react with 4 moles of O₂, but we only have 25 grams of NH₃. Therefore, NH₃ is the limiting reactant.
b) To calculate the amount of NO formed, we use the limiting reactant (NH₃). According to the equation, 4 moles of NH₃ produce 4 moles of NO.
Molecular weight NO = 14 g/mol + 16 g/mol = 30 g/mol
4 mol NH₃ x 17 g/mol = 68 g NH₃
4 mol NO x 30 g/mol = 120 g NO
⇒ Stiochiometric ratio = 120 g NO/68 g NH₃
Now, we multiply the stoichiometric ratio by the actual amount of NH₃ to calculate the mass of NO formed:
NO formed = 25 g NH₃ x 120 g NO/68 g NH₃ = 44.1 g NO
c) According to the chemical equation, 4 moles of NH₃ (68 g) produce 6 moles of H₂O.
Molecular weight H₂O = (2 x 1 g/mol) + 16 g/mol = 18 g/mol
6 mol H₂O x 18 g/mol = 108 g H₂O
⇒ Stoichiometric ratio = 108 g H₂O/68 g NH₃
Finally, we multiply the stoichiometric ratio by the actual amount of NH₃ (limiting reactant) to obtain the mass of H₂O formed:
H₂O formed = 25 g NH₃ x 108 g H₂O/68 g NH₃ = 39.7 g H₂O