Nuclear Fusion (Oxford AQA IGCSE Physics): Revision Note
Exam code: 9203
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
- Nuclear fusion occurs in stars 
- Hydrogen nuclei fuse together to make helium nuclei 
- Massive amounts of energy are released in the process 
Fusion of two nuclei
Nuclear fusion equations
- Equations can be used to represent nuclear fusion reactions 
- For example, the fusion of a proton and a - nuclei to form a helium nucleus - can be written as: 
- Where - 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 
 
Worked Example
Complete the equation below to show the reaction that takes place when a  nuclei  fuses with a 
 nuclei to form a 
 nuclei.
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 
- Atomic number is equal to the difference between the atomic numbers of the reactants and the products 
Step 2: Determine the correct notation
- Protons have a mass number of 1 and an atomic number of 1, therefore the complete equation is: 
- As a hydrogen nucleus is a proton, this could also be written as: 
Examiner Tips and Tricks
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: 
- 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:
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, 
- Speed of light, 
Step 2: Recall the equation for energy during a fusion reaction
Step 3: Rearrange the equation to calculate the loss of mass, m
Step 4: Substitute in the known values to calculate
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
- 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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