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Percentage yield and atom economy: GCSE Combined Science Chemistry practice questions

Foundation and Higher · Grade 6

A second set of questions on percentage yield and atom economy. They are different from the ones on the topic page. Try each, then open the answer and compare your working.

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Question 1 Medium

Calculate the atom economy for iron in Fe₂O₃ + 3CO → 2Fe + 3CO₂ to 3 significant figures. Mr of Fe₂O₃ = 160 and CO = 28, Ar of Fe = 56.

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Answer: 45.9%

  1. Desired product: 2 × 56 = 112.
  2. Reactants: 160 + 3 × 28 = 244.
  3. 112 ÷ 244 × 100 = 45.9%.

Question 2 Medium

5.0 g of CaCO₃ is heated and the theoretical yield of CaO is 2.8 g. The student collects 2.1 g. Calculate the percentage yield.

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Answer: 75%

  1. 2.1 ÷ 2.8 = 0.75.
  2. So the percentage yield is 75%.

Question 3 Medium

20.0 g of calcium carbonate is heated: CaCO₃ → CaO + CO₂. Calculate the theoretical yield of calcium oxide. Mr of CaCO₃ = 100 and CaO = 56.

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Answer: 11.2 g

  1. Moles of CaCO₃ = 20.0 ÷ 100 = 0.200.
  2. The ratio is 1 : 1, so mass of CaO = 0.200 × 56 = 11.2 g.

Question 4 Medium

Calculate the atom economy for hydrogen in 2H₂O → 2H₂ + O₂ to 2 significant figures. Mr of H₂O = 18 and H₂ = 2.

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Answer: 11%

  1. Desired product: 2 × 2 = 4.
  2. Reactants: 2 × 18 = 36.
  3. 4 ÷ 36 × 100 = 11%.

Question 5 Hard

Calculate the theoretical yield of MgO from 4.8 g of Mg in 2Mg + O₂ → 2MgO. Ar of Mg = 24 and Mr of MgO = 40.

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Answer: 8.0 g

  1. Moles of Mg = 4.8 ÷ 24 = 0.20.
  2. Moles of MgO = 0.20.
  3. Mass = 0.20 × 40 = 8.0 g.

Question 6 Hard

A student collects 6.4 g of magnesium oxide. The theoretical yield is 8.0 g. Calculate the percentage yield.

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Answer: 80%

  1. 6.4 ÷ 8.0 = 0.80.
  2. Percentage yield = 80%.

Question 7 Hard

Calculate the atom economy for making sodium hydroxide in 2Na + 2H₂O → 2NaOH + H₂ to 3 significant figures. Mr of Na = 23, H₂O = 18, NaOH = 40.

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Answer: 97.6%

  1. Desired product: 2 × 40 = 80.
  2. Reactants: 2 × 23 + 2 × 18 = 82.
  3. 80 ÷ 82 × 100 = 97.6%.

Question 8 Hard

Explain why a reaction with a high percentage yield may still have a low atom economy.

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Answer: it can make a lot of waste products

  1. Yield measures how much product you collect.
  2. Atom economy measures how much of the starting mass ends in the useful product. A reaction can make a lot of waste.

Question 9 Medium

A student expects to make 12.5 g of a product but collects 10.0 g. Calculate the percentage yield.

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Answer: 80%

  1. Percentage yield = 10.0 ÷ 12.5 × 100.
  2. Percentage yield = 80%.

Question 10 Hard

Calculate the atom economy for making ammonia by N₂ + 3H₂ → 2NH₃. Mr of N₂ = 28, H₂ = 2 and NH₃ = 17.

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Answer: 100%

  1. Desired product: 2 × 17 = 34.
  2. Reactants: 28 + 3 × 2 = 34.
  3. 34 ÷ 34 × 100 = 100%.

Quick checks

Short questions with options. Choose one before you open the answer.

Check 1

What is theoretical yield?

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The maximum mass of product that could form, from the equation.

Check 2

What is actual yield?

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The mass of product you really collect.

Check 3

What is the equation for percentage yield?

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Actual yield ÷ theoretical yield × 100.

Check 4

Can percentage yield be more than 100%?

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No. A larger value means a mistake, or the product was impure or wet.

Check 5

Give one reason why yield is less than 100%.

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The reaction is reversible, product is lost, or side reactions happen.

Check 6

What is a side reaction?

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A different reaction that uses up reactants to make other products.

Check 7

What is atom economy?

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The share of the mass of the reactants that ends up in the desired product.

Check 8

What is the equation for atom economy?

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Mr of desired product ÷ sum of Mr of all reactants × 100.

Check 9

Which type of reaction has 100% atom economy?

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One with a single product, such as addition.

Check 10

Why does a high atom economy help sustainability?

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Less waste is made and fewer raw materials are used.

Check 11

Can a reaction have a high yield but low atom economy?

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Yes, if it makes a lot of waste products.

Check 12

What do you use to find the theoretical yield?

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The balanced equation and the moles of the limiting reactant.

Check 13

What is the atom economy of CaCO₃ → CaO + CO₂ for CaO?

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56%.

Check 14

What does the ratio in the equation tell you?

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The moles of product that form for each mole of reactant.

Check 15

What is a waste product?

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A product that is not the one you want.

Check 16

What is a limiting reactant?

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The reactant that runs out first.

Check 17

How do you find moles from mass?

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Moles = mass ÷ Mr.

Check 18

How do you find mass from moles?

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Mass = moles × Mr.

Check 19

What is the percentage yield if the actual yield equals the theoretical yield?

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100%.

Check 20

What is a reversible reaction?

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One that can go both ways, so it may not finish.

Check 21

Name one way product can be lost during an experiment.

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It is left on filter paper or stuck to the equipment.

Check 22

Why multiply each Mr by the number in front of it in atom economy?

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The equation shows how many of each formula react or form.

Check 23

What is the atom economy of making ethanol from ethene and steam?

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100%, because there is only one product.

Check 24

What does the desired product mean in atom economy?

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The product that you want to make.

Check 25

Why can the percentage yield of a reaction never be more than 100%?

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You cannot collect more product than the equation says is possible. A result over 100% means the product is impure or wet.

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