OCR · A-Level · Physics

    Course version: H556 · Version from Sept 2015

    (d) internal energy as the sum of the random distribution of kinetic and…

    Full specification wording

    Solid, liquid and gas: (d) internal energy as the sum of the random distribution of kinetic and potential energies associated with the molecules of a system

    Internal energy is the total energy stored in a system due to the molecules it contains.

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

    • Point 4 of 7
    • 3 key terms

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Internal energy is the total energy stored in a system due to the molecules it contains. It is the sum of two contributions: the kinetic energies associated with the random motion of the molecules, and the potential energies associated with the forces between them. Because the molecules have a distribution of speeds, their kinetic energies are randomly distributed, and the potential energy depends on their separation. For an ideal gas, the potential energy contribution is taken as negligible, so internal energy depends only on the random kinetic energy and therefore on temperature. For a real substance, changing state at constant temperature can change internal energy because the potential energy contribution changes even though the average kinetic energy does not. MCQ items often test the definition, the two contributions, or the effect of a change such as melting.

    What earns the marks

    • Internal energy is the sum of the kinetic and potential energies associated with the molecules of a system.
    • The kinetic energy contribution arises from the random motion of the molecules.
    • The potential energy contribution arises from the forces between the molecules and depends on their separation.
    • The kinetic energies of the molecules are randomly distributed, so internal energy includes a distribution of values rather than a single molecular energy.
    • For an ideal gas, the potential energy contribution is negligible, so internal energy depends on the random kinetic energy and hence on temperature.
    • During a change of state at constant temperature, the potential energy contribution changes, so internal energy changes even though the average kinetic energy does not.

    Common mistakes and how to put them right

    • Defining internal energy as only the kinetic energy of the molecules.

      Put it right: It also includes the potential energy associated with intermolecular forces.

    • Confusing internal energy with temperature.

      Put it right: Temperature relates to average kinetic energy, while internal energy includes both kinetic and potential contributions and depends on the amount of substance.

    • Saying internal energy is the sum of the kinetic and potential energies of one molecule.

      Put it right: It is the total for all the molecules in the system.

    • Assuming internal energy cannot change during melting or boiling because temperature is constant.

      Put it right: The potential energy contribution changes, so internal energy changes.

    Exam tips

    • Quote the definition in full, naming both kinetic and potential contributions and the random distribution.
    • Distinguish clearly between temperature and internal energy when an option links them.
    • For an ideal gas, state that the potential energy contribution is negligible before relating internal energy to temperature.
    • When a change of state is involved, consider what happens to the potential energy contribution at constant temperature.

    Try the lesson

    The start of the Solid, liquid and gas: (d) internal energy as the sum of the random distribution of kinetic and potential energies associated with the molecules of a system lesson, made from checked teaching notes for this specification point.

    Listen

    Internal energy is the total energy stored in a system due to the molecules it contains. It is the sum of two contributions: the kinetic energies associated with the random motion of the molecules, and the potential energies associated with the forces between them. Because the molecules have a distribution of speeds, their kinetic energies are randomly distributed, and the potential energy depends on their separation. For an ideal gas, the potential energy contribution is taken as negligible, so internal energy depends only on the random kinetic energy and therefore on temperature. For a real substance, changing state at constant temperature can change internal energy because the potential energy contribution changes even though the average kinetic energy does not. MCQ items often test the definition, the two contributions, or the effect of a change such as melting. A strong answer earns marks for these points. Internal energy is the sum of the kinetic and potential energies associated with the molecules of a system. The kinetic energy contribution arises from the random motion of the molecules. The potential energy contribution arises from the forces between the molecules and depends on their separation. The kinetic energies of the molecules are randomly distributed, so internal energy includes a distribution of values rather than a single molecular energy. Exam tip: Quote the definition in full, naming both kinetic and potential contributions and the random distribution.

    See it

    A top-down flowchart. The top node reads 'Internal energy of a system'. From it, branches lead to 'Kinetic energy contribution' and 'Potential energy contribution'. The kinetic branch leads to 'Random motion of the molecules' and to 'Randomly distributed kinetic energies'. The potential branch leads to 'Forces between the molecules' and to 'Depends on their separation'. A further branch from the top node leads to 'Ideal gas: potential energy negligible', which leads to 'Internal energy depends on random kinetic energy and hence on temperature'. A final branch from the top node leads to 'Change of state at constant temperature', which leads to 'Potential energy contribution changes, so internal energy changes'.
    It shows internal energy as the sum of a kinetic and a potential contribution, what each depends on, and how the ideal gas case and a change of state at constant temperature follow from them.

    Key words

    Say what each word means before you turn the card.

    Internal energy

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

    Kinetic energy contribution

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

    Potential energy contribution

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

    See every definition
    Internal energy
    The sum of the random distribution of kinetic and potential energies associated with the molecules of a system.
    Kinetic energy contribution
    Arises from the random motion of the molecules, and the kinetic energies of the molecules are randomly distributed.
    Potential energy contribution
    Arises from the forces between the molecules and depends on their separation.

    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-down flowchart. The top node reads 'Internal energy of a system'. From it, branches lead to 'Kinetic energy contribution' and 'Potential energy contribution'. The kinetic branch leads to 'Random motion of the molecules' and to 'Randomly distributed kinetic energies'. The potential branch leads to 'Forces between the molecules' and to 'Depends on their separation'. A further branch from the top node leads to 'Ideal gas: potential energy negligible', which leads to 'Internal energy depends on random kinetic energy and hence on temperature'. A final branch from the top node leads to 'Change of state at constant temperature', which leads to 'Potential energy contribution changes, so internal energy changes'.
    • 1Box 1

    • 2Box 2

    • 3Box 3

    0 of 3 labelled

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