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Percentage yield calculator with working

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Percentage yield compares the amount of product you actually made with the maximum you could have made. Enter two values and the calculator finds the third:

percentage yield=actual yieldtheoretical yield×100%\text{percentage yield} = \frac{\text{actual yield}}{\text{theoretical yield}} \times 100\%

The theoretical yield is the mass of product calculated from the balanced equation (the most you could possibly get). The actual yield is the mass you collect.

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Worked examples

  • Percentage yield: the theoretical yield is 5.6 g and you collect 4.2 g. 4.2÷5.6×100=75%4.2 \div 5.6 \times 100 = 75\%.
  • Actual yield: a reaction has an 80% yield and a theoretical yield of 12 g. Actual =80÷100×12=9.6= 80 \div 100 \times 12 = 9.6 g.
  • Theoretical yield: 3 g of product is a 60% yield. Theoretical =3÷0.6=5= 3 \div 0.6 = 5 g.

Finding the theoretical yield

  1. Write the balanced equation.
  2. Find the moles of the limiting reactant: n=mass÷Mrn = \text{mass} \div M_r.
  3. Use the ratio in the equation to find the moles of product.
  4. Multiply by the product's MrM_r to get the mass.

Example: heating 10 g of calcium carbonate (Mr=100M_r = 100): CaCO₃ → CaO + CO₂. Moles =10÷100=0.1= 10 \div 100 = 0.1, so 0.1 mol of CaO (Mr=56M_r = 56), a theoretical yield of 5.6 g. Our moles calculator helps with steps 2 and 4.

Why yields are less than 100%

  • The reaction may be reversible and not go to completion.
  • Some product is lost when it's separated from the mixture (filtering, transferring between containers).
  • Some reactants may take part in unexpected side reactions.

A yield over 100% usually means the product is still wet or contains impurities, so dry it to a constant mass and weigh again.

Yield vs atom economy

Percentage yield is about how much product you actually collect. Atom economy is about how much of the reactants' mass ends up in the desired product in theory, from the equation alone. A reaction can have a high yield but a low atom economy (lots of waste products), or the other way round. Find atom economy with our atom economy calculator.

Common mistakes

  • Dividing theoretical by actual (giving more than 100%).
  • Using the mass of a reactant instead of the theoretical mass of product.
  • Forgetting to use the mole ratio from the equation.

Practise with our percentage yield questions and reacting masses questions.

Exam tips

  • Find the limiting reactant first: the theoretical yield comes from whichever reactant runs out.
  • Give the percentage to the number of significant figures the data supports (usually 2 or 3).
  • If a question asks why the actual yield was low, give a specific reason such as product lost during filtration, not just "human error".

Frequently asked questions

What is the formula for percentage yield?

Percentage yield = actual yield ÷ theoretical yield × 100%, using the same mass unit for both.

Why can't you get a 100% yield?

Reactions may be reversible, some product is lost during separation, and side reactions can use up reactants.

How do you calculate theoretical yield?

From the balanced equation: moles of limiting reactant, then the mole ratio to get moles of product, then multiply by the product's Mr.

Is anything I type sent to a server?

No. The calculation runs in your browser and nothing is stored.

Sources

  1. GCSE Chemistry (8462) specification: subject content. AQA.
  2. Cambridge IGCSE Chemistry 0620 syllabus for 2026, 2027 and 2028. Cambridge International.