Final answer:
The theoretical yield for the reaction is 12.38 g of NH₃.
Step-by-step explanation:
The given balanced equation for the reaction is:
N₂(g) + 3H₂(g) → 2NH₃(g)
To find the theoretical yield of NH₃, we need to calculate the amount of NH₃ that would be produced if all the reactants were completely converted to products.
The stoichiometry of the balanced equation tells us that 1 mole of N₂ produces 2 moles of NH₃.
So, let's calculate the number of moles of N₂:
Moles of N₂ = Mass of N₂ / Molar mass of N₂
Moles of N₂ = 10.2 g / 28.02 g/mol
= 0.364 mol
Since 1 mole of N₂ reacts to form 2 moles of NH₃, the theoretical yield of NH₃ would be:
Theoretical yield of NH₃ = 0.364 mol N₂ × (2 mol NH₃ / 1 mol N₂) × (17.03 g/mol NH₃)
= 12.38 g