Answer:
mass of C₂H₄N₂ = 3.472 g
Explanation:
We have the following chemical reaction:
3 CH₄ + 5 CO₂ + 8 NH₃ → 4 C₂H₄N₂ + 10 H₂O
Using the masses given by the problem we calculate the number of moles for each reactant:
number of moles = mass / molecular weight
number of moles of CO₂ = 13.2 / 44 = 0.3 moles
number of moles of NH₃ = 2.18 / 17 = 0.13 moles
number of moles of CH₄ = 17 / 16 = 1.06 moles
We can see that the limiting reactant is ammonia NH₃. Now we can devise the following reasoning:
if 8 moles of NH₃ produces 4 moles of C₂H₄N₂
then 0.13 moles of NH₃ produces X moles of C₂H₄N₂
X = (0.13 × 4) / 8 = 0.062 moles of C₂H₄N₂
mass of C₂H₄N₂ = number of moles × molecular weight
mass of C₂H₄N₂ = 0.062 × 56 = 3.472 g