Lesson plan · GCSE · Ages 14 to 16 · 30 minutes
Our star and the planets' energy
Fusion in the Sun's core, the balance that keeps the Sun stable, and how sunlight thins out as 1/r² across the planets.
The lesson
The class looks at the Sun, where fusion releases the energy that reaches us as light, and works out the sunlight falling on each square metre at Earth from the Sun's total power. They then follow the inverse square law out to Mars, Jupiter and Neptune, and ask why Venus is hotter than Mercury.
What they take away
Fusion in the Sun's core releases energy, and its outward push balances the inward pull of gravity. That energy spreads over ever larger spheres, so each square metre gets 1,361 W at Earth, a quarter as much at twice the distance and about 1.5 W at Neptune; how hot a planet gets then depends on how much it absorbs and how its atmosphere holds the heat.
Curriculum links
Quoted word for word from the official documents.
Next Generation Science Standards (NGSS)
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HS-ESS1-1
Read it on nextgenscience.orgDevelop a model based on evidence to illustrate the life span of the sun and the role of nuclear fusion in the sun’s core to release energy that eventually reaches Earth in the form of radiation.
AQA GCSE Physics (8463)
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4.8.1.1 Our solar system (physics only): students should be able to explain
Read it on aqa.org.ukthat fusion reactions lead to an equilibrium between the gravitational collapse of a star and the expansion of a star due to fusion energy.
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4.6.3.2 Perfect black bodies and radiation (physics only)
Read it on aqa.org.uk(HT only) Students should be able to explain how the temperature of a body is related to the balance between incoming radiation absorbed and radiation emitted, using everyday examples to illustrate this balance, and the example of the factors which determine the temperature of the Earth.
Pearson Edexcel GCSE Astronomy (1AS0)
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Topic 10, Solar astronomy: 10.3
Read it on qualifications.pearson.comUnderstand the role of the Sun’s internal divisions in terms of energy production and transfer
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Topic 13, Exploring starlight: 13.9
Read it on qualifications.pearson.comUnderstand the inverse square relationship between distance and brightness/intensity
Step by step
The caption is what the class reads on screen; the talking points are in your notes drawer (N) when you present. Steps marked Pupils only appear only in the pupil lesson.
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01
The Sun's engine
Presented and for pupilsCaption
In the Sun's core, at about 15 million °C, hydrogen fuses to form helium, and that releases the energy that reaches us as sunlight.
Talking points
- NASA: the core is the hottest part of the Sun, at about 15 million °C. Nuclear reactions there, where hydrogen is fused to form helium, power the Sun's heat and light.
- NASA: energy from the core is carried outward by radiation through the radiative zone, taking about 170,000 years to reach the top of the convection zone, where bubbles of hot plasma carry it up to the photosphere, the layer we see.
- Never look straight at the Sun without proper eye protection (NASA).
Ask the class
Where does the energy in sunlight come from?
- Nuclear fusion in the Sun's coreRight answer
- Burning gas on the Sun's surface
- Light the Sun collects from other stars
WhyNASA: nuclear reactions in the core, where hydrogen is fused to form helium, power the Sun's heat and light.
Sources 1Present from this step
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02
A star in balance
Presented and for pupilsCaption
Gravity pulls the Sun inwards, the pressure from fusion pushes outwards, and the two are in balance.
Talking points
- NASA: the core is hot enough to sustain nuclear fusion, and this creates outward pressure that supports the star's gigantic mass, keeping it from collapsing.
- AQA 4.8.1.1: fusion reactions lead to an equilibrium between the gravitational collapse of a star and the expansion of a star due to fusion energy.
- NASA: the Sun is a little less than halfway through its lifetime, with another 5 billion years or so to go before it becomes a white dwarf.
Ask the class
Why does the Sun not collapse under its own gravity?
- Pressure from fusion energy pushes outwards and balances gravityRight answer
- The Sun has no gravity of its own
- The planets pull it outwards
WhyFusion in the core creates an outward pressure that supports the Sun's mass. The outward push and the inward pull of gravity are in equilibrium.
Sources 1 15Present from this step
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03
Sunlight at Earth
Presented and for pupilsCaption
The Sun's power spreads out over a growing sphere, and at Earth's distance each square metre facing the Sun gets about 1,361 watts.
Talking points
- NASA Sun Fact Sheet: the Sun's luminosity is 382.8 × 10²⁴ J/s, which is 3.828 × 10²⁶ W.
- NASA Earth Fact Sheet: solar irradiance 1,361.0 W/m². The fact sheet notes define this as the solar energy per square metre at the distance of the planet's semi-major axis, which for Earth is 149.598 million km.
- That definition makes it the sunlight arriving at Earth's distance from the Sun, in space above the atmosphere, on a surface square on to the Sun.
Ask the class
The Sun gives out 3.828 × 10²⁶ W. Earth is 1.496 × 10¹¹ m from the Sun. Divide the power by the area of a sphere of that radius, 4πr², to find the power per square metre at Earth, in W/m².
Answer1,361 W/m². Answers from 1,351 to 1,371 are marked right.
WhyArea = 4π × (1.496 × 10¹¹ m)² = 2.812 × 10²³ m². Power per square metre = 3.828 × 10²⁶ ÷ 2.812 × 10²³ = 1,361 W/m², NASA's figure for Earth.
Sources 2 3 4Present from this step
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04
Twice as far, a quarter as bright
Presented and for pupilsCaption
Twice as far from the Sun, the same light covers four times the area, so each square metre gets a quarter as much.
Talking points
- Edexcel 1AS0 13.9: the inverse square relationship between distance and brightness or intensity.
- NASA's solar irradiance for each planet, W/m²: Mercury 9,082.7, Venus 2,601.3, Earth 1,361.0, Mars 586.2, Jupiter 50.26, Saturn 14.82, Uranus 3.69, Neptune 1.508. Each is 1,361 ÷ r² (r in au, from the fact sheets) to within about 1%.
- True scale: the labels mark the bodies.
Ask the class
Mars is on average 1.524 au from the Sun. Earth, at 1 au, gets 1,361 W/m². How much does each square metre at Mars get, in W/m²?
Answer586 W/m². Answers from 582 to 590 are marked right.
Why1,361 ÷ 1.524² = 1,361 ÷ 2.323 = 586 W/m². NASA's Mars Fact Sheet gives 586.2 W/m².
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05
Out at Jupiter
Presented and for pupilsCaption
Jupiter is 5.2 times as far from the Sun as Earth, so its sunlight is spread over 5.2 × 5.2 = 27 times the area.
Talking points
- NASA Jupiter Fact Sheet: semi-major axis 5.20336 au, solar irradiance 50.26 W/m². 1,361 ÷ 50.26 = 27.1.
Ask the class
Jupiter is 5.2 au from the Sun. Compared with Earth, how much sunlight does each square metre at Jupiter get?
- About a fifth as much
- About a twenty-seventh as muchRight answer
- About a hundred-and-fortieth as much
Why5.2² = 27, so about 1/27 as much. NASA gives 50.26 W/m² at Jupiter, and 1,361 ÷ 50.26 = 27.1. A hundred and fortieth would be 5.2³, the wrong power.
Sources 3 9Present from this step
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06
Why is Venus hotter?
Presented and for pupilsCaption
Venus gets less than a third of Mercury's sunlight, yet it is far hotter, because of what its atmosphere does with the energy.
Talking points
- NASA fact sheets: solar irradiance Mercury 9,082.7 W/m², Venus 2,601.3 W/m². Mean temperature Mercury 167 °C, Venus 464 °C.
- NASA defines the black-body temperature as the surface temperature a body would have in radiative equilibrium with no atmosphere but the same albedo. Mercury's is 439.6 K (about 166 °C), within a degree of its mean of 440 K (167 °C): NASA describes its atmosphere as essentially a vacuum, so the surface itself absorbs and emits. Venus's is 226.6 K (about −47 °C), because its Bond albedo of 0.77 means it reflects 77% of the sunlight that reaches it.
- NASA: Venus's thick atmosphere traps heat in a runaway greenhouse effect, making it the hottest planet, with a surface about 467 °C.
- Earth too: its black-body temperature is 254 K (about −19 °C), and NASA says the natural greenhouse effect keeps its average at 15 °C.
- AQA 4.6.3.2 (HT): a body at constant temperature absorbs radiation at the same rate as it emits it.
Ask the class
Venus reflects 77% of the sunlight that reaches it, and still averages 464 °C. Why?
- Its thick atmosphere traps the heat in a runaway greenhouse effectRight answer
- It is closer to the Sun than Mercury
- Nuclear fusion in its core heats it
WhyWith no atmosphere and the same albedo, Venus would settle at about −47 °C (NASA's black-body temperature). Its thick carbon dioxide atmosphere traps heat, so the surface warms far more before it gets rid of energy as fast as it absorbs it.
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07
Find the hottest planet
Pupils onlyCaption
Your turn: find the planet that is hotter than Mercury, and click on it or step to it with the arrows.
Talking points
- NASA: Venus, the second planet from the Sun, has the hottest surface in the solar system, hotter even than Mercury.
Pupil task
Focus on the planet whose surface is hotter than Mercury's.
HintIt is the second planet from the Sun, the next one out after Mercury.
The viewer checks the task as the pupil works and says when it is done.
Sources 5 13Open this step as a pupil
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08
Sunlight at Neptune
Presented and for pupilsCaption
At Neptune each square metre gets about 1.5 watts, around 900 times less than at Earth.
Talking points
- NASA Neptune Fact Sheet: solar irradiance 1.508 W/m², and 1,361 ÷ 1.508 = 902.5.
- A good answer: Neptune is about 30 times as far from the Sun as Earth, so the same power is spread over a sphere 30² = 900 times the area.
Ask the class
Explain why each square metre at Neptune gets about 900 times less sunlight than at Earth.
AnswerWritten in the pupil’s own words, up to 400 characters. It is not marked.
Sources 3 12 16Present from this step
Sources
Every fact in this lesson comes from these sources, and each step lists the ones it uses.
- Sun: Facts, NASA Science
- Sun Fact Sheet, NASA NSSDCA
- Earth Fact Sheet, NASA NSSDCA
- Notes on the fact sheet parameters (solar irradiance, Bond albedo, black-body temperature), NASA NSSDCA
- Planetary Fact Sheet (metric), NASA NSSDCA
- Mercury Fact Sheet, NASA NSSDCA
- Venus Fact Sheet, NASA NSSDCA
- Mars Fact Sheet, NASA NSSDCA
- Jupiter Fact Sheet, NASA NSSDCA
- Saturn Fact Sheet, NASA NSSDCA
- Uranus Fact Sheet, NASA NSSDCA
- Neptune Fact Sheet, NASA NSSDCA
- Venus Facts, NASA Science
- What is the greenhouse effect?, NASA Science
- AQA GCSE Physics (8463) specification, version 1.1
- Pearson Edexcel GCSE (9-1) Astronomy (1AS0) specification, issue 3
