AQA · GCSE · Chemistry

    Course version: 8462 · Version from Sept 2018

    Students should be able to balance an equation given the masses of…

    Full specification wording

    Using moles to balance equations (HT only): Students should be able to balance an equation given the masses of reactants and products.

    Balancing from masses means converting each substance's mass into moles, then finding the simplest whole-number ratio.

    Checked against the AQA 8462 specification (opens in a new tab) on .

    • Point 2 of 3
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Balancing from masses means converting each substance's mass into moles, then finding the simplest whole-number ratio. Divide each mass by its molar mass (Ar or Mr), giving moles of atoms or molecules. For example, if 4.8 g of magnesium reacts with 3.2 g of oxygen to form 8.0 g of magnesium oxide, moles Mg = 4.8 ÷ 24 = 0.20 mol and moles O₂ = 3.2 ÷ 32 = 0.10 mol. The ratio Mg : O₂ is 2 : 1, so the equation is 2Mg + O₂ → 2MgO. Check that atoms balance on both sides. This skill is examined in higher-tier calculations where masses are supplied and the balanced equation must be deduced.

    What earns the marks

    • Convert each given mass to moles using moles = mass ÷ molar mass, selecting the correct Ar or Mr for each species.
    • Compare the mole values by dividing each by the smallest value to obtain the simplest whole-number ratio.
    • Write the balanced equation using the ratio as coefficients, including correct formulae and state symbols where required.
    • Verify that the number of each type of atom is equal on both sides of the equation.
    • Use the total mass of reactants equal to the total mass of products as a consistency check where all masses are given.

    Common mistakes and how to put them right

    • Using the mass ratio directly as the equation coefficients instead of converting to moles first.

      Put it right by dividing mass by molar mass before comparing.

    • Dividing by the wrong molar mass, such as using Ar of a diatomic element rather than its Mr.

      Put it right by identifying whether the substance is an atom or molecule, for example O₂ has Mr = 32.

    • Forgetting to simplify the mole ratio to the smallest whole numbers.

      Put it right by dividing all values by the smallest and multiplying if a fraction remains.

    Exam tips

    • Show each step: mass, molar mass, moles, ratio, equation, so method marks can be awarded even if the final equation is wrong.
    • Label units throughout and round only at the end to avoid losing accuracy.
    • Check the final equation by counting atoms of each element on both sides before writing your answer.

    Try the lesson

    The start of the Using moles to balance equations (HT only): Students should be able to balance an equation given the masses of reactants and products. lesson, made from checked teaching notes for this specification point.

    Have a go first

    When 4.6 g of ethanol (C₂H₅OH) burns completely in oxygen, 8.8 g of carbon dioxide and 5.4 g of water are produced. Using these masses, what is the simplest whole-number mole ratio of ethanol to oxygen in the balanced equation? (Ar: C = 12, H = 1, O = 16)

    Listen

    Balancing from masses means converting each substance's mass into moles, then finding the simplest whole-number ratio. Divide each mass by its molar mass (Ar or Mr), giving moles of atoms or molecules. For example, if 4.8 g of magnesium reacts with 3.2 g of oxygen to form 8.0 g of magnesium oxide, moles Mg = 4.8 ÷ 24 = 0.20 mol and moles O₂ = 3.2 ÷ 32 = 0.10 mol. The ratio Mg : O₂ is 2 : 1, so the equation is 2Mg + O₂ → 2MgO. Check that atoms balance on both sides. This skill is examined in higher-tier calculations where masses are supplied and the balanced equation must be deduced. A strong answer earns marks for these points. Convert each given mass to moles using moles = mass ÷ molar mass, selecting the correct Ar or Mr for each species. Compare the mole values by dividing each by the smallest value to obtain the simplest whole-number ratio. Write the balanced equation using the ratio as coefficients, including correct formulae and state symbols where required. Verify that the number of each type of atom is equal on both sides of the equation. A common slip: Using the mass ratio directly as the equation coefficients instead of converting to moles first. Instead, dividing mass by molar mass before comparing. Exam tip: Show each step: mass, molar mass, moles, ratio, equation, so method marks can be awarded even if the final equation is wrong.

    See it

    A top-to-bottom flowchart with seven nodes. The first node reads 'Given masses of reactants and products' and points to 'Convert each mass to moles: moles = mass ÷ molar mass'. That points to 'Compare mole values', which points to 'Divide each by the smallest value to get simplest whole-number ratio'. This points to 'Write balanced equation using ratio as coefficients', which points to 'Verify atoms balance on both sides', and the final node reads 'Check total mass of reactants equals total mass of products'.
    It shows the sequence of steps for deducing a balanced equation from given masses, from converting masses to moles through to verifying the equation.

    Put it in order

    Put these steps in the order they happen.

    1. 1. Check total mass of reactants equals total mass of products
    2. 2. Verify atoms balance on both sides
    3. 3. Compare mole values
    4. 4. Write balanced equation using ratio as coefficients
    5. 5. Given masses of reactants and products
    6. 6. Convert each mass to moles: moles = mass ÷ molar mass
    7. 7. Divide each by the smallest value to get simplest whole-number ratio

    Key words

    Say what each word means before you turn the card.

    Mole

    Try answering aloud or in your head before turning the card.

    Molar mass

    Try answering aloud or in your head before turning the card.

    Simplest whole-number ratio

    Try answering aloud or in your head before turning the card.

    Conservation of mass

    Try answering aloud or in your head before turning the card.

    See every definition
    Mole
    The amount of a substance obtained by dividing its mass by its molar mass, giving moles of atoms or molecules.
    Molar mass
    The Ar or Mr of a substance, by which its mass is divided to convert that mass into moles.
    Simplest whole-number ratio
    The result of comparing mole values by dividing each by the smallest value, used as the coefficients in the balanced equation.
    Conservation of mass
    The total mass of reactants equals the total mass of products, used as a consistency check where all masses are given.

    Label the diagram

    Some boxes have lost their names. Pick the right name for each number.

    The diagram again, with 3 boxes numbered instead of named. A top-to-bottom flowchart with seven nodes. The first node reads 'Given masses of reactants and products' and points to 'Convert each mass to moles: moles = mass ÷ molar mass'. That points to 'Compare mole values', which points to 'Divide each by the smallest value to get simplest whole-number ratio'. This points to 'Write balanced equation using ratio as coefficients', which points to 'Verify atoms balance on both sides', and the final node reads 'Check total mass of reactants equals total mass of products'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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