Nuclear Fusion (Oxford AQA IGCSE Physics)

Revision Note

Caroline Carroll

Expertise

Physics Subject Lead

What is Nuclear Fusion?

  • Small nuclei can react to release energy from their nuclear store in a process called nuclear fusion

  • Nuclear fusion is defined as:

When two light nuclei join to form a heavier nucleus

Fusion of two nuclei

Two smaller nuclei fuse together to form a larger nuclei with energy being released
Two nuclei are fusing to form a larger nuclei

Nuclear fusion equations

  • Equations can be used to represent nuclear fusion reactions

  • For example, the fusion of a proton and a straight H presubscript 1 presuperscript 2 nuclei to form a helium nucleus He presubscript 2 presuperscript 3 can be written as:

    straight p presubscript 1 presuperscript 1 space plus space straight H presubscript 1 presuperscript 2 space rightwards arrow space He presubscript 2 presuperscript 3

  • Where straight p presubscript 1 presuperscript 1 represents a proton

    • The mass number of a proton is 1 and the atomic number of a proton is 1

    • This is the same as a hydrogen nuclei, so a proton can also be represented by straight H presubscript 1 presuperscript 1

Worked Example

Complete the equation below to show the reaction that takes place when a straight H presubscript 1 presuperscript 2 nuclei fuses with a He presubscript 2 presuperscript 3 nuclei to form a He presubscript 2 presuperscript 4 nuclei.

straight H presubscript 1 presuperscript 2 space plus space He presubscript 2 presuperscript 3 rightwards arrow space He presubscript 2 presuperscript 4 space plus space....

Answer:

Step 1: Calculate the mass and atomic number of the missing section

  • Mass number is equal to the difference between the mass numbers of the reactants and the products

open parentheses 2 plus 3 close parentheses minus space 4 space equals space 1

  • Atomic number is equal to the difference between the atomic numbers of the reactants and the products

open parentheses 1 plus 2 close parentheses minus space 2 space equals space 1

Step 2: Determine the correct notation

  • Protons have a mass number of 1 and an atomic number of 1, therefore the complete equation is:

straight H presubscript 1 presuperscript 2 space plus space He presubscript 2 presuperscript 3 rightwards arrow space He presubscript 2 presuperscript 4 space plus space straight p presubscript 1 presuperscript 1

  • As a hydrogen nucleus is a proton, this could also be written as:

straight H presubscript 1 presuperscript 2 space plus space He presubscript 2 presuperscript 3 rightwards arrow space He presubscript 2 presuperscript 4 space plus space straight H presubscript 1 presuperscript 1

Exam Tip

A neutron can also be produced in nuclear fusion reactions. Remember a neutron has a mass number of 1 and an atomic number of 0

Mass & Energy in Fusion

  • The energy released during nuclear fusion comes from a very small amount of the particle’s mass being converted into energy

  • Albert Einstein described the mass-energy equivalence with his famous equation:

E space equals space m space cross times space c squared

  • Where:

    • E = energy released from fusion in Joules (J)

    • m = mass converted into energy in kilograms (kg)

    • c = the speed of light in metres per second (m/s)

  • The amount of energy released during nuclear fusion is huge (several times greater than nuclear fission):

    • The energy from 1 kg of hydrogen that undergoes fusion is equivalent to the energy from burning about 10 million kilograms of coal

Worked Example

In a nuclear fusion reaction, four hydrogen nuclei produce one helium nucleus. The energy released during the reaction can be calculated as shown:

energy space released space equals space loss space of space mass space cross times space open parentheses speed space of space light close parentheses squared

The speed of light is 3 × 108 m/s

Calculate the mass lost during this reaction when 3.15 × 1011 J of energy is released.

Answer:

Step 1: List the known quantities

  • Energy released, E space equals space 3.15 space cross times space 10 to the power of 11 space straight J

  • Speed of light, c space equals space 3 space cross times space 10 to the power of 8 space straight m divided by straight s

Step 2: Recall the equation for energy during a fusion reaction

E space equals space m space cross times space c squared

Step 3: Rearrange the equation to calculate the loss of mass, m

m space equals space E over c squared

Step 4: Substitute in the known values to calculate

m space equals space fraction numerator 3.15 space cross times space 10 to the power of 11 over denominator open parentheses 3 space cross times space 10 to the power of 8 close parentheses squared end fraction

m space equals space 3.5 space cross times space 10 to the power of negative 6 end exponent space kg

Conditions Required for Fusion

  • For two nuclei to fuse, both nuclei must have high kinetic energy

    • This is because the nuclei are positively charged, and when they come close to each other, they repel one another

    • If the nuclei have very high kinetic energy, the nuclei can travel towards each other at very high speeds, overcome the force of repulsion and the nuclei can fuse together

  • The conditions for fusion are:

    • Very high temperature of fuel

      • This causes very high kinetic energy

      • Therefore the nuclei travel at very high speeds

      • Which enables them to overcome repulsion

    • Very high pressure

      • This causes high density of particles

      • Increasing the possibility of suitable collisions

Fusion of two protons

At low temperature and pressure, two protons repel. At high temperature and pressure protons can get close enough to fuse.
The fusion of two protons is only possible through high temperature and pressure
  • The main reasons why fusion is not currently used as a source of power on Earth are the difficulties in achieving (and maintaining)

    • High temperatures

    • High pressures

  • Whilst physicists have been able to attain the temperatures and pressure needed, there are difficulties in containing them, which inevitably means that only a small amount of fusion can take place

    • Such a small rate of fusion is not useful for current global energy demands

  • Creating the temperatures needed for fusion requires a great deal of energy

    • Hence, physicists are still a long way from the point where they will produce more energy from fusion than the energy needed to start it

Fusion in stars

  • Stars use nuclear fusion to release energy

  • The temperature inside their core is so high that the electrons have been stripped away from their atoms, leaving the bare nuclei which are able to collide

  • Stars are mainly comprised of hydrogen and helium

    • Hydrogen nuclei fuse together to form helium nuclei and release lots of energy

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Caroline Carroll

Author: Caroline Carroll

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about creating high-quality resources to help students achieve their full potential.