Internal Energy (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Tim

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Internal energy

  • The internal energy of a substance includes both the kinetic and potential energy of the particles it contains

  • The molecules of all substances have both kinetic and potential energies

    • Kinetic energy is due to the speed of the molecules

    • Potential energy is due to the intermolecular forces between the molecules and varies with the separation of particles

Water molecules shown moving at different speeds and at different separations, illustrating that they carry both kinetic and potential energy.
The internal energy of water is the total of the kinetic energies of its molecules and the potential energies due to the forces between them
  • The internal energy of a substance is defined as:

    The sum of the randomly distributed kinetic and potential energies of the particles in a body

  • This means internal energy is the total of all the kinetic energies plus the total of all of the potential energies

  • The symbol for internal energy is U, with units of joules (J)

  • Particles are randomly distributed, meaning they all have different speeds and separations

  • The internal energy of a system is determined by:

    • temperature (higher temperature, higher kinetic energy and vice versa)

    • the random motion of molecules

    • the phase of matter: gases have the highest internal energy, solids have the lowest

    • intermolecular interactions between the particles 

  • The internal energy of a system can increase by:

    • doing work on it

    • adding thermal energy to it (heating it)

  • The internal energy of a system can decrease by:

    • losing thermal energy to its surroundings

    • the system doing work on its surroundings (e.g. a gas pushing a piston)

Examiner Tips and Tricks

When an exam question asks you to define 'internal energy', you can lose a mark for not mentioning the 'random motion' of the particles or the 'random distribution' of the energies, so make sure you include one of these in your definition!

In an ideal gas, there are no intermolecular forces, so the internal energy consists only of the kinetic energy of the particles. This is a common exam point — remember that ideal gases have no potential energy.

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.