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Nuclear Energy, Fission and Fusion

Mass defect and binding energy

  • 3 things to know
  • Unit A2 1

Overview

Mass defect of a nucleus, binding energy of a nucleus and binding energy per nucleon.

What you need to know

Answer each one before you reveal it.

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Key term

How are mass defect and binding energy related?

Key term

Define binding energy per nucleon.

Key term

Why is binding energy per nucleon a better measure of nuclear stability than total binding energy?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define the mass defect of a nucleus.

    Model answer

    The mass defect is the difference between the total mass of the separate protons and neutrons that make up a nucleus and the actual mass of the assembled nucleus, in kilograms or in u.

  2. 2

    Define the binding energy of a nucleus.

    Model answer

    The binding energy is the energy that must be supplied to separate a nucleus completely into its individual protons and neutrons, and is equal to the energy released when those nucleons come together to form the nucleus.

  3. 3

    How are mass defect and binding energy related?

    Model answer

    The binding energy is the energy equivalent of the mass defect, E = Δmc², where Δm is the mass defect in kilograms and E the binding energy in joules.

  4. 4

    Why is the mass of a nucleus always less than the sum of the masses of its separate nucleons?

    Model answer

    Energy is released when the nucleons come together and become bound, and because energy and mass are equivalent that released energy corresponds to a loss of mass from the system.

  5. 5

    Define binding energy per nucleon.

    Model answer

    The binding energy per nucleon is the total binding energy of a nucleus divided by its nucleon number, usually quoted in MeV per nucleon.

  6. 6

    Why is binding energy per nucleon a better measure of nuclear stability than total binding energy?

    Model answer

    Total binding energy simply increases with the number of nucleons, so it says nothing about how tightly each one is held. Binding energy per nucleon compares nuclei of different sizes on the same footing, and the higher it is the more stable the nucleus.

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