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Thermal Physics

Internal energy and the distribution of molecular energy

  • 3 things to know
  • Unit A2 1

Overview

Internal energy of a substance and temperature and internal energy.

What you need to know

Answer each one before you reveal it.

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Key term

Explain what is meant by saying that molecular energies are randomly distributed.

Key term

Define the internal energy of a substance.

Key term

Why does the internal energy of a fixed mass of ideal gas depend only on its temperature?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the internal energy of a substance.

    Model answer

    The internal energy of a substance is the sum of the randomly distributed kinetic and potential energies of all of its molecules.

  2. 2

    What form of energy makes up the internal energy of an ideal gas, and why?

    Model answer

    It is entirely kinetic, because an ideal gas has no intermolecular forces and therefore no molecular potential energy.

  3. 3

    Why does the internal energy of a fixed mass of ideal gas depend only on its temperature?

    Model answer

    The internal energy is the total random kinetic energy of the molecules, and the mean molecular kinetic energy is directly proportional to the absolute temperature.

  4. 4

    Explain what is meant by saying that molecular energies are randomly distributed.

    Model answer

    At any instant the molecules have a wide spread of speeds and energies in all directions, and an individual molecule's energy changes constantly through collisions, so only the average over the whole sample is a fixed quantity.

  5. 5

    Where does the potential energy contribution to internal energy come from in a liquid or a solid?

    Model answer

    It comes from the work done against the forces of attraction between molecules held close together, which is why liquids and solids have molecular potential energy while an ideal gas does not.

  6. 6

    Why does the temperature of a substance remain constant while it is melting even though it is being heated?

    Model answer

    The energy supplied is doing work against the intermolecular forces, increasing the molecular potential energy rather than the molecular kinetic energy, so the mean kinetic energy and hence the temperature do not change.

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