College

2.00 g of [tex]H_2[/tex] reacts with 10.1 g of [tex]N_2[/tex]. What is the theoretical yield?

Answer :

Answer: Assuming the following:

Balanced chemical equation: 3H₂(g) + N₂(g) → 2NH₃(g)

Molar masses: H₂ = 2.02 g/mol, N₂ = 28.02 g/mol, NH₃ = 17.03 g/mol

Calculations:

Calculate moles of reactants:

Moles of H₂ = 2.00 g / 2.02 g/mol = 0.990 mol

Moles of N₂ = 10.1 g / 28.02 g/mol = 0.360 mol

Determine limiting reactant:

Based on the balanced equation, 3 moles of H₂ react with 1 mole of N₂.

For 0.360 mol of N₂, we need 3 * 0.360 = 1.08 mol of H₂.

Since we only have 0.990 mol of H₂, H₂ is the limiting reactant.

Calculate the theoretical yield of NH3:

From the balanced equation, 3 moles of H₂ produce 2 moles of NH₃.

So, 0.990 mol of H₂ will produce (2/3) * 0.990 = 0.660 mol of NH₃.

Convert moles of NH3 to grams:

Mass of NH₃ = 0.660 mol * 17.03 g/mol = 11.24 grams

Therefore, the theoretical yield of NH3 is 11.24 grams.

Explanation: