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7.3.1Radioactivity and Particles

Nuclear Energy — Edexcel International GCSE Science Double Award 4SD0 - Physics Revision Notes & Topical Questions

10 min read 14 parts Lesson 14 of 18

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Curriculum Equation Key قوانين الرقم الهيدروجيني والاتزان الأيوني - pH & Acid-Base Equilibrium FormulasFast Exam Solution
pH = -log[H⁺] | pOH = -log[OH⁻] | pH + pOH = 14 | [H⁺][OH⁻] = 10⁻¹⁴
Word Equation & Conditions: الرقم الهيدروجيني = -لوغاريتم تركيز أيون الهيدروجين | pH + pOH = 14
Location & Specifications: الاتزان الأيوني، كيمياء 3 ثانوي، التحصيلي، و AP Chemistry.
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Part 1 of 7Energy stored in the nucleus

Nuclei are held together by the strong nuclear force, which acts between protons and neutrons over very short distances and is much stronger than the electrostatic repulsion between protons.

Energy is stored in the nucleus, and in certain reactions some of it is released.
Kinetic energy
This nuclear energy is released as kinetic energy of the particles produced and as gamma radiation,
  • and ends up mainly as thermal energy in the surrounding material.

Chemical reactions such as burning rearrange the outer electrons of atoms. Nuclear reactions rearrange the particles inside the nucleus, and the energy changes involved are roughly a million times larger per atom.

Part 2 of 7Two ways of releasing nuclear energy

Nuclear fission
Nuclear fission a large, unstable nucleus such as uranium-235 or plutonium-239 splits into two smaller nuclei (plus a few neutrons), releasing energy.
Nuclear fusion
Nuclear fusion two very light nuclei, such as isotopes of hydrogen, join to form a heavier nucleus such as helium, releasing energy.

Both reactions give out energy because the products are in a lower-energy, more stable arrangement than the starting nuclei.

Two ways of releasing nuclear energy
Iron-56 is among the most stable nuclei, so energy is released when nuclei lighter than iron fuse and when much heavier nuclei split.
Fission is used in power stations today; fusion powers the Sun and other stars and is still being developed for electricity generation.

Part 3 of 7Mass and energy (extension)

If you measure the masses very accurately, the total mass of the products of fission or fusion is slightly less than the mass of the starting particles. The "missing" mass has been transferred to energy. Einstein’s equation links them:

E = mc2

What the symbols mean: E = energy (J) · m or Δm = mass (change) (kg) · c = 3.00 × 108 m s−1

where E is the energy released in joules (J), m is the mass lost in kilograms (kg) and c is the speed of light, 3.0 × 108 m s−1.

Mass and energy (extension)
Because c2 is so large (9.0 × 1016 m2 s−2), a tiny loss of mass gives a huge amount of energy.
This is why a few kilograms of fuel can release as much energy as thousands of tonnes of coal.

Part 4 of 7Comparing nuclear and chemical fuels

The energy produced per kilogram of fuel shows the difference clearly. Burning coal releases around 3 × 107 J per kilogram. Complete fission of uranium-235 releases of the order of 8 × 1013 J per kilogram, millions of times more. Fusion of hydrogen isotopes releases several times more again per kilogram than fission.

This explains why a nuclear power station needs only a few tonnes of fuel in a year, while a coal-fired station of the same power needs millions of tonnes. It also explains why the Sun, which fuses hydrogen into helium, can shine steadily for billions of years.

Part 5 of 7Advantages and drawbacks of nuclear power

Advantages
Advantages very large energy release from a small mass of fuel; no emission of carbon dioxide during operation; reliable supply, available day and night, unlike wind or solar.
Drawbacks
Drawbacks produces radioactive waste that must be stored for thousands of years; risk of accidents which release radioactive material; high cost of building and decommissioning; uranium mining has environmental effects.

Linkthe next lessons explain how fission happens, how a reactor controls it, and how fusion can occur.

Part 6 of 7Nuclear energy in context

It helps to compare the scale of energies.

Nuclear energy in context
A typical chemical reaction releases a few electronvolts per atom, whereas a nuclear reaction releases millions of electronvolts per nucleus.
Fission of one uranium-235 nucleus gives about 200 million electronvolts, roughly 3 × 10−11 J.
The nuclear energy in the fuel is a store that is released by changes inside the nucleus, in the same way that chemical energy is a store released by changes in bonds between atoms.

Exam questions often ask for a comparison. Make clear statements: the energy per kilogram is far greater, the amount of fuel needed is far smaller, and there is no carbon dioxide emitted during operation, but radioactive waste is produced and must be stored for a long time. Link the idea to power stations (fission) and to the Sun (fusion).

Part 7 of 7Worked examples

  1. In a nuclear reaction the total mass decreases by 3.0 × 10−28 kg. Calculate the energy released. (c = 3.0 × 108 m s−1)

  2. A power station burns coal that releases 3.0 × 107 J per kg. How many kilograms of coal give the same energy as 1.0 kg of uranium-235 that releases 8.0 × 1013 J?

  3. A reaction releases 5.4 × 10−12 J of energy. What mass is converted to energy? (c = 3.0 × 108 m s−1)

Key terms

TermMeaning
Strong nuclear forceAttractive force that holds protons and neutrons together in the nucleus.
Nuclear fissionSplitting of a large nucleus into two smaller nuclei, releasing energy.
Nuclear fusionJoining of two light nuclei into a heavier nucleus, releasing energy.
E = mc2Equation linking energy released to the mass converted and the speed of light.
Radioactive wasteMaterial from nuclear processes that remains radioactive.

Avoid these mistakes

1
Saying that mass is destroyed. It is converted into energy, and total mass-energy is conserved.
2
Mixing up fission and fusionfission splits a large nucleus, fusion joins small nuclei.
3
Calling burning chemical fuel a nuclear reaction. Chemical reactions involve electrons, not the nucleus.
4
Using c = 3 × 108 without squaring it in E = mc2.
5
Saying nuclear power stations produce no waste. They produce radioactive waste.

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