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
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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