Theoretical Yield Formula

Maximum product from stoichiometry

Concept

Theoretical yield = moles of limiting reactant × (mole ratio product/reactant) × molar mass of product.

Theoretical Yield = nLR × (stoich. ratio) × Mproduct

Example

Reaction: N₂ + 3H₂ → 2NH₃

Given: 10 mol N₂, 20 mol H₂; M(NH₃) = 17 g/mol.

Check limiting reactant: N₂ needs 30 mol H₂ (have 20), so H₂ is limiting.

n(NH₃) from H₂ = 20 mol H₂ × (2 NH₃ / 3 H₂) = 13.33 mol NH₃

Theoretical yield = 13.33 mol × 17 g/mol ≈ 226.7 g

Answer: ≈ 226.7 g NH₃

Common Mistakes

Not identifying limiting reactant

Always determine which reactant runs out first.

Using wrong stoichiometric ratio

Check balanced equation carefully for mole ratios.

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