Chris Rentsch Profile picture
Engineer. Empirical measurement. Spectroscopy.

Nov 15, 2021, 13 tweets

UPDATED briefest possible explanation of CO₂ #climatechange physics:

(1/12) Any warm object radiates energy at wavelengths depending on its temperature, the distribution of which is described by Planck's Law:

2. The sun's surface temperature is 5,778 K, so Planck's Law predicts it will radiate primarily at visible light wavelengths.

3. Earth receives 1,362 W/m² from the sun in a combination of UV, visible and infrared radiation, but 29.5% is immediately reflected by clouds or the surface. The remaining 70.5% (960 W/m²) is absorbed by land, air and oceans.

4. The sun illuminates the disk of Earth (area = πr²) but our spherical plant has an area = 4πr². To maintain energy equilibrium and steady surface temperature, the average square meter of Earth's surface must emit 240 W/m² (960 W/m² ÷ 4 = 240 W/m²).

5. From the Stefan-Boltzmann Law, we can calculate the surface temperature that will radiate exactly 240 W/m² (255 K). If we plug this temp. back into Planck's Law, we calculate that Earth will glow in a distribution of wavelengths mostly in thermal infrared (4-50 μm).

6. This would be the case if Earth had no atmosphere. Instead, greenhouse gasses (GHGs) absorb & re-radiate Earth's outgoing infrared, producing a jagged emission to space.

7. IR-active GHGs suppress emission in some portions of the spectrum, requiring surface warming of about +33 K to maintain 240 W/m² of outgoing thermal infrared (equilibrium with the sun). But the warmer surface now emits 390 W/m², 150 W/m² more than it would without GHGs.

8. This +33 K warmer surface temperature and the additional 150 W/m² thermal infrared is the greenhouse effect (GHE). Human additions of CO₂, CH₄, and other minor gasses have further increased this by ~3 W/m² so far.

9. How much warming does +3 W/m² produce?
•Easier part is calculating effects from infrared absorption alone.
•Harder part is how clouds, ice, and vegetation respond. Clouds and ice reflect a lot of sunlight, while trees absorb it. Climate models don't agree on these feedbacks.

10. Consequently, warming estimates have historically varied over a wide range: 1.0-6.0°C per doubling of CO₂ (Knutti-2017). Recently the IPCC AR6 report has concluded there is enough evidence to tighten this range to 2.5-4.0°C.

11. Future warming also depends on how quickly & how much more GHG's are added. While some have feared worst-case-scenarios RCP8.5 or SSP5-8.5, current emissions projections much more modest (dire media headlines are usually based on RCP8.5 studies)

12. Any campaign to change the status quo may tend to construct two simple, clear-cut categories: pro- and anti-climate action. In fact, Americans can be categorized according to at least six levels of concern regarding climate change:

As usual, my goal is 100% accuracy. If something is incorrect, feel free to let me know.

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