AQA · GCSE · Chemistry

    Course version: 8462 · Version from Sept 2018

    Students should be able to explain how the concentration of a solution in…

    Full specification wording

    Atom economy: Students should be able to explain how the concentration of a solution in mol/dm is related to the mass of the solute and the volume of the solution.

    Concentration in mol/dm³ links solute mass to solution volume.

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

    • Point 7 of 7
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Concentration in mol/dm³ links solute mass to solution volume. Although the metadata lists this under atom economy, it directly addresses using concentrations of solutions in mol/dm³. To explain the relationship, first convert solute mass into moles using: moles = mass ÷ relative formula mass. Next, divide the moles by the volume in dm³ to find concentration. For a fixed solute mass, increasing the solution volume decreases concentration (dilution). Conversely, for a fixed volume, increasing solute mass increases concentration. For example, 4.0 g of NaOH (molar mass 40.0 g/mol) is 0.100 mol. Dissolved to make 500 cm³ (0.500 dm³) of solution, the concentration is 0.100 ÷ 0.500 = 0.200 mol/dm³.

    What earns the marks

    • State that concentration in mol/dm³ represents the number of moles of solute dissolved per cubic decimetre of solution.
    • Explain the conversion of solute mass to moles using the formula: moles = mass ÷ relative formula mass.
    • Describe how to calculate concentration using the formula: concentration = moles ÷ volume in dm³.
    • Explain that for a fixed mass of solute, increasing the volume of the solution decreases the concentration.
    • Explain that for a fixed volume of solution, increasing the mass of the solute increases the concentration.

    Common mistakes and how to put them right

    • Forgetting to convert the volume from cm³ to dm³ before calculating.

      Put it right by dividing the volume in cm³ by 1000.

    • Treating concentration as mass per volume without converting mass to moles.

      Put it right by dividing the mass by the relative formula mass first to find moles.

    • Believing that adding more solvent increases the concentration.

      Put it right by explaining that adding solvent increases the total volume, which decreases the concentration.

    Exam tips

    • Always check the units given in the question; if volume is in cm³, convert it to dm³ immediately before using it in the concentration formula.
    • Use the step-by-step chain: mass to moles to concentration, showing your working clearly for each stage to secure method marks.

    Try the lesson

    The start of the Atom economy: Students should be able to explain how the concentration of a solution in mol/dm is related to the mass of the solute and the volume of the solution. lesson, made from checked teaching notes for this specification point.

    Have a go first

    A solution is made by dissolving 4.0 g of sodium hydroxide (Mᵣ = 40) in water to make 500 cm³ of solution. What is the concentration in mol/dm³?

    Listen

    Concentration in mol/dm³ links solute mass to solution volume. Although the metadata lists this under atom economy, it directly addresses using concentrations of solutions in mol/dm³. To explain the relationship, first convert solute mass into moles using: moles = mass ÷ relative formula mass. Next, divide the moles by the volume in dm³ to find concentration. For a fixed solute mass, increasing the solution volume decreases concentration (dilution). Conversely, for a fixed volume, increasing solute mass increases concentration. For example, 4.0 g of NaOH (molar mass 40.0 g/mol) is 0.100 mol. Dissolved to make 500 cm³ (0.500 dm³) of solution, the concentration is 0.100 ÷ 0.500 = 0.200 mol/dm³. A strong answer earns marks for these points. State that concentration in mol/dm³ represents the number of moles of solute dissolved per cubic decimetre of solution. Explain the conversion of solute mass to moles using the formula: moles = mass ÷ relative formula mass. Describe how to calculate concentration using the formula: concentration = moles ÷ volume in dm³. Explain that for a fixed mass of solute, increasing the volume of the solution decreases the concentration. A common slip: Forgetting to convert the volume from cm³ to dm³ before calculating. Instead, dividing the volume in cm³ by 1000. Exam tip: Always check the units given in the question; if volume is in cm³, convert it to dm³ immediately before using it in the concentration formula.

    See it

    A flowchart running from top to bottom. The node 'Mass of solute' leads to 'Moles = mass ÷ relative formula mass', which leads to 'Concentration = moles ÷ volume in dm³'. A separate node 'Volume of solution in dm³' also points into the concentration node. Below, two separate chains appear: 'Fixed mass of solute' leads to 'Increasing volume decreases concentration', and 'Fixed volume of solution' leads to 'Increasing solute mass increases concentration'.
    It shows how solute mass is converted to moles and combined with solution volume to give concentration, and how changing mass or volume affects concentration.

    Key words

    Say what each word means before you turn the card.

    Concentration

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    Mole calculations

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

    Mass and volume relationships

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    Dilution

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

    See every definition
    Concentration
    The number of moles of solute dissolved per cubic decimetre of solution, found by dividing the moles by the volume in dm³.
    Mole calculations
    Converting solute mass into moles using moles = mass ÷ relative formula mass before finding concentration.
    Mass and volume relationships
    For a fixed mass of solute, increasing the volume of the solution decreases the concentration, while for a fixed volume, increasing the mass of the solute increases it.
    Dilution
    Adding more solvent increases the total volume, which decreases the concentration.

    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 flowchart running from top to bottom. The node 'Mass of solute' leads to 'Moles = mass ÷ relative formula mass', which leads to 'Concentration = moles ÷ volume in dm³'. A separate node 'Volume of solution in dm³' also points into the concentration node. Below, two separate chains appear: 'Fixed mass of solute' leads to 'Increasing volume decreases concentration', and 'Fixed volume of solution' leads to 'Increasing solute mass increases concentration'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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