Greenhouse Effect: notes and practice questions
- This topic covers the Earth's energy balance, the greenhouse effect, and human impact.
- Emissivity is defined as .
- Albedo is defined as .
- The mean incoming solar intensity for a planet is , where is the solar constant.
- Main greenhouse gases (, , , ) absorb and re-emit infrared radiation due to molecular energy levels.
- The enhanced greenhouse effect is caused by human activities, primarily burning fossil fuels.
- Students should be able to estimate equilibrium temperature using energy balance.
How it is examined
A reliable Paper 2 extended question, usually run together with B.1 and E.5 into one long stem. May 2025 SL Paper 2 TZ1 question 6 and HL question 8 were the same question: state what the solar constant means (1), outline the mechanism by which the atmosphere re-radiates towards the surface (2), show that the absorbed intensity is about 240 W m⁻² (2), determine the re-radiated intensity given emissivity 0.90 (3), then show the Sun's total power is about 4 × 10²⁶ W (2). Note the two show parts: the answer is printed in the question, so the marks are entirely for the working.
The emissivity and albedo ratios, and the solar constant as a value. The factor-of-four projected-area argument is not a booklet equation: the student has to know why a sphere intercepts but radiates from . The four named greenhouse gases must be recalled.
- the conservation of energy
- emissivity as the ratio of power radiated per unit area by a surface to that of an ideal black surface at the same temperature, as given by
- albedo as a measure of the average energy reflected off a macroscopic system, as given by
- that Earth's albedo varies daily and depends on cloud formations and latitude
Guiding questions
- How does the greenhouse effect help to maintain life on Earth and how does human activity enhance this effect?
- How is the atmosphere as a system modelled to quantify the Earth-atmosphere energy balance?
Linking questions
- What relevance do simple harmonic motion and resonance have to climate change?
- How do different methods of electricity production affect the energy balance of the atmosphere?
- How are developments in science and technology affected by climate change?
- What limitations are there in using a resonance model to explain the greenhouse effect?
Practice questions
19 questions · 3 easy · 13 medium · 3 hardQuestion 1
EasyPaper 1A · calculator1 markThe greenhouse effect is the process by which certain gases in the atmosphere trap thermal energy. What is the primary mechanism for this trapping?
A. Greenhouse gases reflect incoming ultraviolet radiation back to space.
B. Greenhouse gases absorb incoming visible light from the Sun.
C. Greenhouse gases absorb and re-radiate outgoing infrared radiation.
D. Greenhouse gases scatter all wavelengths of electromagnetic radiation equally.
Consider the energy balance of the Earth. What type of radiation does the Earth emit after being warmed by the Sun? Which gases in the atmosphere interact with this type of radiation?
Question 2
MediumPaper 2 · calculator8 marksA team of climate scientists is preparing a report on the Earth's energy balance. A key part of the report focuses on the role of the atmosphere in regulating the planet's surface temperature.
(a) Identify two primary greenhouse gases in the Earth's atmosphere, other than carbon dioxide and water vapour.
(b) Explain the mechanism by which greenhouse gas molecules absorb infrared (IR) radiation.
(c) Distinguish between the natural greenhouse effect and the enhanced greenhouse effect.
Think about the other gases mentioned in the context of the greenhouse effect. One is a major component of natural gas, and the other is often associated with agricultural processes.
Your explanation should connect the frequency of the radiation to the properties of the molecules. What happens to the molecule's energy when it absorbs a photon?
Start by defining each term. What is the fundamental difference in their cause and consequence for the Earth's climate?
Question 3
HardPaper 2 · calculator20 marksAn exoplanet named Xylos orbits a star named Aethel. Scientists are studying its atmospheric conditions and the properties of its host star.
(a) State what is meant by the stellar constant for Xylos.
(b) The following data are given for exoplanet Xylos:
Average albedo of Xylos
Average orbital distance from Aethel
Average global surface temperature of Xylos
Luminosity of star Aethel
(i) Outline the physical mechanism by which some of the infrared radiation emitted by the surface of Xylos is absorbed by its atmospheric gases and re-radiated back towards the surface.
(ii) Show that the average global intensity of radiation absorbed by the surface of Xylos is about .
(iii) Determine the average intensity re-radiated by Xylos's atmosphere towards its surface. Assume that the emissivity of the surface is .
(c) Calculate the total power (luminosity) radiated by the star Aethel, based on the stellar constant at Xylos's orbit.
(d) A possible fusion reaction occurring in stars like Aethel is the deuterium-tritium (D-T) fusion reaction:
Relevant atomic masses are:
Mass of deuterium ()
Mass of tritium ()
Mass of helium-4 ()
Mass of neutron ()
(i) Calculate, in , the energy released in the reaction.
(ii) Outline the role of fusion reactions in maintaining a stable radius for a star like Aethel.
(iii) Outline how the presence of hydrogen in Aethel can be confirmed empirically.
(e) Aethel has a surface temperature of and a luminosity times that of the Sun.
(i) State the star type of Aethel.
(ii) Discuss how nuclear fusion processes in a red dwarf star differ from those in the Sun.
Recall the definition of the solar constant and adapt it to a general star-planet system.
Consider the interaction of infrared radiation with greenhouse gas molecules at a molecular level.
First, calculate the stellar constant at Xylos's orbit. Then, consider the average incoming intensity over the planet's surface and the effect of albedo.
Use the Stefan-Boltzmann law to calculate the intensity emitted by the surface. Then apply the energy balance principle.
The stellar constant is the intensity at a given distance. The total power is radiated spherically outwards.
Calculate the mass defect () in atomic mass units (u) and then convert it to energy using the conversion factor .
Consider the forces acting within a star and how fusion affects them.
Think about how light from stars is analyzed to determine their composition.
Compare Aethel's temperature and luminosity to that of the Sun and other common star types on the Hertzsprung-Russell diagram.
Consider the core temperature, mass, and lifespan of red dwarfs compared to the Sun, and how these factors influence fusion.
Question 4
EasyPaper 1A · calculator1 markThe albedo of a large glacier is 0.75. The intensity of solar radiation incident on the surface of the glacier is . What is the intensity of solar radiation absorbed by the glacier?
A.
B.
C.
D.
Recall the definition of albedo. Albedo is the fraction of incident radiation that is reflected. The question asks for the intensity that is absorbed.
Question 5
MediumPaper 2 · calculator8 marksA team of astronomers is studying a newly discovered exoplanet orbiting a distant star. The star has a surface temperature of approximately 6000 K. The exoplanet has an average surface temperature of 290 K.
(a) Outline the principal differences between the electromagnetic radiation arriving at the exoplanet from its star and the thermal radiation being emitted by the exoplanet's surface.
(b) The exoplanet's atmosphere is found to have a high concentration of methane and carbon dioxide. Explain how the presence of these gases leads to an average surface temperature that is higher than it would be without them.
Consider the relationship between the temperature of an object and the type of radiation it emits. Think about the relative temperatures of the star and the exoplanet. How does this affect the wavelength of the radiation?
What type of radiation is emitted by the exoplanet's surface? How do gases like methane and carbon dioxide interact with this type of radiation? Consider the energy transfers that result from this interaction.
Question 6
HardPaper 2 · calculator12 marksA rocky exoplanet, Planet X, orbits a star. The solar constant for Planet X is . The average albedo of Planet X is .
State what is meant by an albedo of .
Show that the average power absorbed per square metre of Planet X's surface is about .
Assuming Planet X has no atmosphere and acts as a perfect black body, calculate its equilibrium surface temperature.
Later observations reveal that Planet X has an atmosphere containing carbon dioxide.
Outline how the presence of carbon dioxide in the atmosphere leads to an increase in the surface temperature of the planet.
The surface of Planet X is covered by a large proportion of dark oceans. As the planet warms, some of the oceans evaporate, increasing the cloud cover in the atmosphere.
Discuss how this increase in cloud cover could affect the surface temperature of Planet X.
Albedo is the ratio of scattered power to incident power.
Remember that the planet intercepts radiation over its cross-sectional area but radiates and absorbs over its entire surface area. The mean incoming solar intensity is .
Equate the absorbed power per unit area to the power radiated per unit area given by the Stefan-Boltzmann law.
Consider the wavelength of radiation emitted by the planet's surface and how greenhouse gas molecules interact with it.
Clouds can both reflect incoming sunlight and absorb outgoing infrared radiation. Discuss both effects.
Question 7
EasyPaper 1A · calculator1 markThe average temperature of the Earth is higher than it would be without an atmosphere. What is the principal mechanism by which greenhouse gases, such as carbon dioxide, contribute to this higher temperature?
A. They absorb ultraviolet radiation from the Sun, preventing it from reaching the surface.
B. They reflect incoming visible light from the Sun back into space.
C. They absorb infrared radiation emitted by the Earth's surface and re-radiate it in all directions.
D. They prevent convection currents from carrying thermal energy away from the Earth's surface.
Consider the difference between the radiation coming from the Sun and the radiation emitted by the Earth. How do greenhouse gases interact with each type of radiation?
Question 8
MediumPaper 2 · calculator13 marksA newly discovered exoplanet, Exoplanet X, orbits a star similar to our Sun. Scientists are studying its potential for habitability. The following data is available:
- The intensity of the star's radiation arriving at the top of Earth's atmosphere (if Earth orbited this star)
- The average distance from the star to Earth
- The average distance from the star to Exoplanet X
- Exoplanet X's average albedo
- Exoplanet X's emissivity
- Stefan-Boltzmann constant,
(a) Calculate the intensity of the star's radiation arriving at Exoplanet X's location.
(b) Calculate the average intensity of the star's radiation arriving per of Exoplanet X's surface. Assume Exoplanet X is spherical and the incident radiation is distributed over its entire surface area.
(c) Calculate the average intensity of the star's radiation that is absorbed by each of Exoplanet X's surface.
(d) State the average intensity of radiation that must be emitted by each of Exoplanet X's surface, assuming Exoplanet X's average temperature is constant.
(e) Predict the equilibrium temperature of the surface of Exoplanet X.
The intensity of radiation from a point source follows an inverse square law with distance.
Consider the ratio of the cross-sectional area receiving radiation to the total surface area of a sphere.
Albedo represents the fraction of incident radiation that is reflected.
For a constant average temperature, the rate of energy absorbed must equal the rate of energy emitted.
The Stefan-Boltzmann law relates the emitted power per unit area to the temperature and emissivity of a body.
Question 9
HardPaper 2 · calculator7 marksAn exoplanet orbits a star that has a surface temperature of . The exoplanet has an average surface temperature of and an atmosphere containing a high concentration of methane () gas.
Outline the differences between the radiation incident on the exoplanet's atmosphere and the radiation emitted by its surface.
Discuss the mechanism of the greenhouse effect on this exoplanet. In your answer, you must refer to:
- the interaction between methane molecules and radiation
- the energy balance of the exoplanet's surface
Consider Wien's displacement law and the regions of the electromagnetic spectrum associated with the temperatures of the star and the exoplanet.
Think about what happens to the infrared radiation emitted by the surface when it encounters methane molecules, and how this affects the total power received by the surface.
Question 10
MediumPaper 2 · calculator12 marksVenus orbits the Sun at a distance where the intensity of solar radiation (the solar constant for Venus) is . The average albedo of Venus is due to its thick cloud cover.
(a) Define the solar constant.
(b) Venus has a radius . Show that for a planet to be in thermal equilibrium, its surface temperature is related to the solar constant and albedo by the expression , assuming the planet behaves as a black body.
(c) Using the expression from (b), calculate the surface temperature Venus would have if it were a black body.
(d) The actual mean surface temperature of Venus is approximately . Outline the primary mechanism responsible for this much higher temperature.
(e) A simple model treats Venus as a grey body with an effective emissivity . Calculate the emissivity of Venus.
Consider what 'solar' and 'constant' refer to. What are the units of intensity, and what surface is this intensity measured on?
Establish an energy balance equation. What is the total power received by the planet, and what is the total power it radiates away? Remember that the planet intercepts sunlight over a circular area but radiates from its entire spherical surface.
Rearrange the formula from part (b) to make T the subject. You will need the value of the Stefan-Boltzmann constant from the data booklet.
What role does a planet's atmosphere play in its surface temperature? Consider the different wavelengths of radiation involved (incoming from the Sun vs. outgoing from the planet's surface).
The equation from part (b) was for a black body (emissivity = 1). How does this equation change for a grey body with emissivity ? Use the actual surface temperature of Venus in your calculation.
Question 11
MediumPaper 2 · calculator12 marksThe Arctic region is experiencing significant changes due to global warming, including the melting of large areas of sea ice. This has a considerable impact on the Earth's energy balance.
(a) Explain what is meant by albedo.
(b) The table shows typical albedo values for two surfaces found in the Arctic.
| Surface | Typical Albedo |
|---|---|
| Sea Ice | 0.60 |
| Open Ocean Water | 0.08 |
Explain, by reference to the properties of the surfaces, the difference in these albedo values.
(c) Climate models predict a continued decrease in the extent of Arctic sea ice. Outline how this decrease is expected to affect the net energy absorbed by the Arctic region.
A satellite measures the solar radiation incident on a area of the Arctic. The average intensity of the incident radiation is .
(d) (i) Calculate the power reflected from this area if it is completely covered by sea ice with an albedo of .
(ii) The sea ice in this area melts completely, exposing open ocean water with an albedo of . Determine the change in the power absorbed by this area.
Albedo is a ratio. What two quantities are being compared? Consider the incoming and outgoing radiation.
Think about the colour and texture of the surfaces and how this affects reflection and absorption of light.
Consider what happens to the overall reflectivity of the region when bright ice is replaced by dark water. How does this affect the amount of energy the region takes in?
First, find the total incident power on the area. Then use the definition of albedo to find the reflected power. Remember to convert the area to square meters.
Calculate the power absorbed by the area in both cases (ice and water). The change is the difference between these two values. Alternatively, you can calculate the change in the fraction of absorbed energy.
Question 12
MediumPaper 1A · calculator1 markThe enhanced greenhouse effect is an increase in the average temperature of the Earth's surface. What is the principal mechanism by which greenhouse gases cause this effect?
A. Greenhouse gases absorb incoming short-wavelength radiation from the Sun, re-radiating it towards the Earth.
B. Greenhouse gases absorb outgoing long-wavelength infrared radiation from the Earth, re-radiating some of it back towards the Earth.
C. Greenhouse gases in the upper atmosphere reflect incoming short-wavelength radiation from the Sun back into space.
D. Greenhouse gases create a layer in the atmosphere that prevents convection, trapping thermal energy near the surface.
Consider the difference between the radiation coming from the Sun and the radiation emitted by the Earth. Which type of radiation do greenhouse gases primarily interact with?
Question 13
MediumPaper 1A · calculator1 markA scientific probe lands on the surface of an exoplanet. The exoplanet receives radiation from its star, and when the star is directly overhead, the incident intensity of this radiation on the exoplanet's surface is . The surface of the exoplanet at the landing site has an albedo of .
What is the intensity of solar radiation absorbed by the surface of the exoplanet at the landing site?
A.
B.
C.
D.
Recall the definition of albedo and how it relates to absorbed and reflected radiation.
Question 14
MediumPaper 1A · calculator1 markA student makes three statements about the mechanism of the greenhouse effect.
I. Greenhouse gases primarily absorb short-wavelength radiation arriving from the Sun.
II. The Earth radiates energy at longer wavelengths than the energy it receives from the Sun.
III. Greenhouse gases in the atmosphere re-radiate absorbed energy, with some of this energy returning to the Earth's surface.
Which of the statements are correct?
A. I only
B. III only
C. II and III only
D. I, II and III
Think about the relationship between the temperature of an object and the wavelength of the radiation it emits. Also, consider what type of radiation greenhouse gases absorb and in which directions they re-emit it.
Question 15
MediumPaper 1A · calculator1 markThe absorption of infrared radiation by greenhouse gases is a key part of the greenhouse effect. This absorption is particularly effective because
A. the greenhouse gases are at a much higher temperature than the Earth's surface.
B. the infrared radiation causes the gas molecules to undergo nuclear fission.
C. the frequency of the infrared radiation matches the natural vibrational frequency of the greenhouse gas molecules.
D. the greenhouse gas molecules are much larger than the other molecules in the atmosphere.
Think about the conditions required for resonance to occur. How does energy transfer from a wave to an oscillator?
Question 16
MediumPaper 1A · calculator1 markA spherical asteroid with an albedo of 0.40 orbits a star. The intensity of the radiation from the star at the distance of the asteroid is . The asteroid has no atmosphere and is in thermal equilibrium. What is the average intensity radiated by the surface of the asteroid?
A.
B.
C.
D.
The average incident intensity over the entire surface of a sphere is one quarter of the intensity at that distance. The asteroid is in thermal equilibrium, so the power radiated equals the power absorbed.
Question 17
MediumPaper 2 · calculator10 marksAn exoplanet orbits a star. The intensity of the radiation from the star at the distance of the exoplanet is . The average albedo of the exoplanet is .
Show that the equilibrium surface temperature of the exoplanet, assuming it has no atmosphere and behaves as a perfect black body, is about .
The exoplanet is found to have an atmosphere containing water vapour and carbon dioxide.
Outline, with reference to molecular energy levels, how these gases absorb infrared radiation emitted by the exoplanet's surface.
Discuss the effect on the average surface temperature of the exoplanet of:
- the presence of the greenhouse gases in the atmosphere
- a subsequent decrease in the albedo of the exoplanet due to the melting of surface ice.
Remember that the planet is a sphere, so the mean incoming intensity is . Use the albedo to find the absorbed intensity, and equate this to the power radiated per unit area given by the Stefan-Boltzmann law.
Think about what happens to the molecules of a greenhouse gas when they interact with infrared photons. How does the photon energy relate to the energy levels of the molecule?
Address both bullet points separately. For the first, what happens after the gases absorb the radiation? For the second, how does a lower albedo change the energy balance of the planet?
Question 18
MediumPaper 2 · calculator11 marksAn exoplanet of radius orbits a distant star. The albedo of the exoplanet is and the stellar constant at its orbit is .
Explain what is meant by the stellar constant.
Explain what is meant by the exoplanet's albedo.
Assuming that the exoplanet behaves as a perfect black body radiator, show that it is predicted to reach an equilibrium temperature given by
where is the Stefan–Boltzmann constant.
The exoplanet with its atmosphere is not a perfect black body and has an emissivity of .
Explain what is meant by emissivity.
The mean temperature of the exoplanet is . The stellar constant is and the average albedo is .
Calculate the emissivity of the exoplanet.
Think about how the solar constant is defined for Earth, but apply it to this star and exoplanet.
Albedo relates to the radiation that is not absorbed by the planet.
Equate the average power absorbed per unit area to the average power radiated per unit area.
Compare the power emitted by the planet to a theoretical ideal radiator.
Modify the equilibrium equation from part (c) to include the emissivity .
Question 19
MediumPaper 2 · calculator10 marksThe exoplanet Zephyr-b orbits a star. The following data are available:
Luminosity of the star
Average distance from the star to Zephyr-b
Calculate the intensity of the stellar radiation arriving at the top of Zephyr-b's atmosphere.
Zephyr-b has an average albedo of 0.30.
Show that the average intensity of stellar radiation absorbed by the surface of Zephyr-b is about .
The surface of Zephyr-b has an average emissivity of 0.90. The planet is in thermal equilibrium.
Determine the predicted average surface temperature of Zephyr-b.
The actual average surface temperature of Zephyr-b is observed to be 315 K.
Explain this discrepancy with reference to the atmosphere of Zephyr-b.
Use the formula for apparent brightness or intensity at a distance from a source of luminosity .
Remember that the planet is a sphere, so the radiation is spread over its entire surface area. Also account for the radiation that is reflected.
In thermal equilibrium, the power absorbed equals the power emitted. Use the Stefan-Boltzmann law.
Consider what effect an atmosphere might have on the infrared radiation emitted by the planet's surface.
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Where marks are lost
- Stopping one step short of the conclusion. Two numbers and no sentence is two marks out of three.
- Answering a procedure question with a platitude.
- Losing precision in Paper 1B. Uniquely to this paper, quoting the right number badly loses marks.