Theoretical Yield Calculator

Calculate the maximum amount of product that can form from a chemical reaction

1 Limiting Reagent → 1 Product

Stoichiometric Coefficients (from balanced equation)

Unit: mol

Unit: g/mol

ℹ️What It Does

The theoretical yield calculator determines the maximum amount of product that can form in a chemical reaction under perfect conditions. It uses stoichiometry to convert moles of limiting reagent to moles and mass of product, assuming 100% conversion with no side reactions or losses.

📐Formula

Moles of Product

nproduct = (nlimiting / a) × b

Mass of Product

mass = nproduct × Mproduct

Variables:

nproduct= Moles of product formed (mol)
nlimiting= Moles of limiting reagent (mol)
a= Stoichiometric coefficient of limiting reagent
b= Stoichiometric coefficient of product
Mproduct= Molar mass of product (g/mol)

📝Step-by-Step Example

1

Given Reaction

2H₂ + O₂ → 2H₂O

Limiting reagent: 3.0 mol Hâ‚‚

2

Identify Coefficients

Hâ‚‚ coefficient (a) = 2

Hâ‚‚O coefficient (b) = 2

3

Calculate Moles of Product

nH₂O = (3.0 mol / 2) × 2 = 3.0 mol

4

Convert to Mass

mass = 3.0 mol × 18.015 g/mol = 54.045 g H₂O

Theoretical yield: 54.045 grams

⚠️Common Mistakes

Using excess reagent instead

Always base calculations on limiting reagent

Ignoring stoichiometric ratios

Must account for coefficients in balanced equation

Wrong molar mass

Use correct molecular formula and atomic masses

Confusing with actual yield

Theoretical is maximum; actual is what you get

Related Calculators

Frequently Asked Questions

What is theoretical yield?

Theoretical yield is the maximum amount of product that can be produced from a given amount of reactants, assuming perfect conditions: 100% conversion, no side reactions, and no losses during purification or transfer.

Why is theoretical yield always higher than actual yield?

Real reactions rarely achieve 100% efficiency due to incomplete reactions, side reactions forming unwanted products, reversible reactions reaching equilibrium, and physical losses during product isolation and purification.

Do I need to identify the limiting reagent first?

Yes, theoretical yield is always calculated from the limiting reagent (the reactant that is completely consumed first). If you have multiple reactants, determine which is limiting before calculating theoretical yield.

How do I find the molar mass of the product?

Sum the atomic masses of all atoms in the molecular formula using the periodic table. For example, Hâ‚‚O = 2(1.008) + 15.999 = 18.015 g/mol. Use atomic masses to at least 3 decimal places for accuracy.

What if multiple products form?

Calculate theoretical yield for each product separately using its stoichiometric coefficient from the balanced equation. Each product will have its own theoretical yield based on the limiting reagent.

Can theoretical yield exceed 100%?

No, theoretical yield represents 100% conversion (the maximum possible). If your actual yield exceeds theoretical yield, there's an error in your calculations or measurements, possibly contamination or incomplete drying.

How is theoretical yield used in industry?

Industries use theoretical yield for process planning, cost estimation, and efficiency monitoring. Comparing actual to theoretical yield (percent yield) helps optimize reactions and identify process improvements.

What is a typical percent yield in organic chemistry?

Percent yields vary widely: simple reactions may achieve 70-95%, while complex multi-step syntheses often yield 30-60%. Yields above 90% are excellent, while below 50% may indicate the need for optimization.

Where It's Used

🎓

Education

Stoichiometry problems and lab reports

🧪

Laboratory

Experiment planning and yield assessment

🏭

Industry

Production forecasting and process optimization

🔬

Research

Synthetic method development and comparison