OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    Nuclear fission and fusion: (k) balancing nuclear transformation equations.

    Balancing a nuclear transformation equation means making the total nucleon number and the total charge equal on both sides.

    Checked against the OCR H556 specification (opens in a new tab) on .

    • Point 10 of 18
    • 4 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Balancing a nuclear transformation equation means making the total nucleon number and the total charge equal on both sides. For example, in ²³⁸U → ²³⁴Th + ⁴He, the left side has 238 nucleons and charge 92, while the right side has 234 + 4 = 238 nucleons and charge 90 + 2 = 92. In beta-minus decay, a neutron changes into a proton and an electron, so the nucleon number stays the same while the charge increases by 1, as in ¹⁴C → ¹⁴N + ⁰e + antineutrino. In beta-plus decay, the charge decreases by 1.

    What earns the marks

    • The total nucleon number is the same on both sides of a nuclear transformation equation.
    • The total charge is the same on both sides of a nuclear transformation equation.
    • Alpha emission reduces nucleon number by 4 and charge by 2.
    • Beta-minus emission leaves nucleon number unchanged and increases charge by 1.
    • Beta-plus emission leaves nucleon number unchanged and decreases charge by 1.
    • A missing particle can be found by subtracting the known totals from the totals on the other side.

    Common mistakes and how to put them right

    • Balancing only nucleon number and forgetting charge.

      Put it right: Both totals must be conserved.

    • Treating an electron as having nucleon number 1.

      Put it right: An electron has nucleon number 0 and charge 1⁻.

    • Adding the mass numbers of the products instead of equating them to the reactant.

      Put it right: The totals must match on both sides.

    • Mixing up alpha and beta decay changes.

      Put it right: Alpha reduces both nucleon number and charge, while beta-minus changes charge only.

    Exam tips

    • Write the nucleon and charge totals above each side before choosing an option.
    • For a missing nuclide, subtract the known product totals from the reactant totals.
    • Check the sign of the charge for beta particles and positrons.
    • Use the periodic table or given data to match the proton number to the correct element symbol.

    Try the lesson

    The start of the Nuclear fission and fusion: (k) balancing nuclear transformation equations. lesson, made from checked teaching notes for this specification point.

    Listen

    Balancing a nuclear transformation equation means making the total nucleon number and the total charge equal on both sides. For example, in ²³⁸U → ²³⁴Th + ⁴He, the left side has 238 nucleons and charge 92, while the right side has 234 + 4 = 238 nucleons and charge 90 + 2 = 92. In beta-minus decay, a neutron changes into a proton and an electron, so the nucleon number stays the same while the charge increases by 1, as in ¹⁴C → ¹⁴N + ⁰e + antineutrino. In beta-plus decay, the charge decreases by 1. A strong answer earns marks for these points. The total nucleon number is the same on both sides of a nuclear transformation equation. The total charge is the same on both sides of a nuclear transformation equation. Alpha emission reduces nucleon number by 4 and charge by 2. Beta-minus emission leaves nucleon number unchanged and increases charge by 1. Exam tip: Write the nucleon and charge totals above each side before choosing an option.

    See it

    A flowchart with a top node labelled 'Nuclear transformation equation' branching into six nodes. Two branches state the conservation rules: 'Total nucleon number equal on both sides' and 'Total charge equal on both sides'. Three branches describe decay changes: 'Alpha emission: nucleon number -4, charge -2', 'Beta-minus emission: nucleon number unchanged, charge +1' and 'Beta-plus emission: nucleon number unchanged, charge -1'. The sixth branch, 'Missing particle: subtract known totals from the other side', leads to a further node 'Electron: nucleon number 0, charge 1-'.
    Shows that a nuclear transformation equation must balance nucleon number and charge, and how alpha, beta-minus and beta-plus emission each change those totals.

    Key words

    Say what each word means before you turn the card.

    Conservation of nucleon number

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    Conservation of charge

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    Alpha and beta decay

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    Nuclear equations and nuclide notation

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    See every definition
    Conservation of nucleon number
    The total nucleon number is the same on both sides of a nuclear transformation equation.
    Conservation of charge
    The total charge is the same on both sides of a nuclear transformation equation.
    Alpha and beta decay
    Alpha emission reduces nucleon number by 4 and charge by 2, beta-minus leaves nucleon number unchanged and increases charge by 1, and beta-plus leaves nucleon number unchanged and decreases charge by 1.
    Nuclear equations and nuclide notation
    A missing particle can be found by subtracting the known totals from the totals on the other side, remembering that electrons have nucleon number 0 and charge 1⁻.

    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 with a top node labelled 'Nuclear transformation equation' branching into six nodes. Two branches state the conservation rules: 'Total nucleon number equal on both sides' and 'Total charge equal on both sides'. Three branches describe decay changes: 'Alpha emission: nucleon number -4, charge -2', 'Beta-minus emission: nucleon number unchanged, charge +1' and 'Beta-plus emission: nucleon number unchanged, charge -1'. The sixth branch, 'Missing particle: subtract known totals from the other side', leads to a further node 'Electron: nucleon number 0, charge 1-'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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