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UNIT SYLLABUS

B.2 Greenhouse effect

SL/HL 6 hours
This unit applies radiation physics to the most consequential system there is: Earth's climate. The Sun delivers a measurable intensity (the solar constant); geometry spreads it over the globe to an average of $S/4$; and the planet's albedo reflects a fraction straight back to space. What remains warms the surface, which re-radiates in the infrared — and there the greenhouse gases (water vapour, CO₂, methane and nitrous oxide) intercept the outgoing energy because their molecular energy levels resonate at infrared frequencies, re-emitting it in all directions including back down. The physics is careful and quantitative, and it explains precisely why enhancing this natural effect shifts the planet's energy balance.

Guiding Questions

  • ? How does the greenhouse effect arise from the interaction between radiation and molecules?
  • ? What physical factors determine the equilibrium temperature of a planet?

What the IB expects you to master

  • Apply conservation of energy to a planet's radiation balance.
  • Define emissivity as radiated power per unit area compared with a black body at the same temperature.
  • Define albedo as scattered power over incident power, and explain why Earth's albedo varies with clouds and latitude.
  • Use the solar constant SS, and explain why the mean incoming intensity over the whole Earth is S/4S/4 (projected disc versus full sphere).
  • Name the main greenhouse gases — CH4_4, H2_2O, CO2_2, N2_2O — and recognise both natural and human origins.
  • Explain infrared absorption by greenhouse gases through molecular energy levels (and the resonance model), with re-emission in all directions.
  • Distinguish the natural greenhouse effect from the enhanced greenhouse effect caused by human activity.

1 Key Formulas

Intensity
I=PAI = \frac{P}{A}
Emissivity
e=power radiated per unit areaσT4e = \frac{\text{power radiated per unit area}}{\sigma T^{4}}
Albedo
α=total scattered powertotal incident power\alpha = \frac{\text{total scattered power}}{\text{total incident power}}
Mean incoming intensity
Imean=S4I_{\text{mean}} = \frac{S}{4}

2 Exam Preparation & Topic Explanations

Energy-balance calculations

Exam questions build a chain: solar constant → divide by 4 → multiply by (1α)(1-\alpha) → equate to eσT4e\sigma T^4 for equilibrium temperature. Practise the full chain until each link is automatic; questions stop at different links.

Be precise with language: "absorb and re-emit in all directions" earns the mark; "trap" or "reflect" heat does not.

Pro Exam Strategy
  • Know the four named greenhouse gases and one natural + one human source for each.

  • The factor 4 is geometry (disc vs sphere), not absorption — a favourite MCQ distractor.

  • Equilibrium means absorbed power = emitted power; any imbalance changes the temperature until balance is restored.

  • Both the resonance model and the energy-level model are named in the guide — be ready to describe either.

3 MCQ Practice

Q1. The mean intensity of solar radiation arriving at Earth is one quarter of the solar constant because:

  • The atmosphere absorbs three quarters of the radiation
  • Earth presents a disc of area πR2\pi R^2 to the Sun but has surface area 4πR24\pi R^2
  • Earth's albedo reflects three quarters of the radiation
  • The Sun only illuminates a quarter of the Earth at any time

Q2. Greenhouse gases absorb infrared radiation because:

  • They are denser than other atmospheric gases
  • Their molecular energy levels match infrared photon energies
  • They reflect infrared radiation back to Earth
  • They have higher specific heat capacities

Q3. Fresh snow has an albedo of about 0.85. This means that fresh snow:

  • Absorbs 85% of incident radiation
  • Scatters 85% of incident radiation
  • Emits 85% as much as a black body
  • Transmits 85% of incident radiation

4 Short Answer Questions

PDF

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