Step 1: Write the balanced chemical equation.

N₂ + 3H₂ → 2NH₃

Step 2: Calculate the molar mass of each reactant.

For N₂

molar mass of N₂ = 14.01 g/mol × 2

molar mass of N₂ = 28.02 g/mol

For H₂

molar mass of H₂ = 1.008 g/mol × 2

molar mass of H₂ = 2.016 g/mol

Step 3: Determine the mole ratios needed.

Using N₂

mole ratio = 1 mol N₂ : 2 mol NH₃

Using H₂

mole ratio = 3 mol H₂ : 2 mol NH₃

Step 4: Calculate the number of moles of NH₃ produced by each reactant.

Using N₂

moles of NH₃ = 1.02 mol

Using H₂

moles of NH₃ = 1.39 mol

Step 5: Determine the limiting reactant.

Since N₂ produces less number of moles of NH₃,