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Energy and Human Ambitions on a Finite Planet, 2021a

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9 Climate Change 160<br />

skeptic” who names many natural sources of CO 2 <str<strong>on</strong>g>and</str<strong>on</strong>g> says we<br />

should not be too quick to label the CO 2 rise as anthropogenic? 79<br />

79: ...ofhuman origin<br />

11. What letter grade would you give to the performance of the red<br />

curve in Figure 9.4 for its faithful tracking of the measured CO 2<br />

blue curve? Describe reas<strong>on</strong>s why you might deduct any points.<br />

12. The allocati<strong>on</strong> of CO 2 emissi<strong>on</strong>s am<strong>on</strong>g countries in Figure 9.5<br />

differs pretty markedly from the distributi<strong>on</strong> in Table 9.3. What<br />

does this tell us about past <str<strong>on</strong>g>and</str<strong>on</strong>g> present activity am<strong>on</strong>g countries?<br />

13. Use a modified versi<strong>on</strong> of Eq. 9.2 to compute what the earth’s<br />

80: . . . i.e., dark <str<strong>on</strong>g>and</str<strong>on</strong>g> no bright clouds/snow<br />

temperature would be if it had no greenhouse gases <str<strong>on</strong>g>and</str<strong>on</strong>g> absorbed<br />

100% of incident solar energy. 80 81: Hint: the fourth root can be obtained by<br />

Is this warmer or cooler than<br />

taking two square roots <strong>on</strong>e after the other,<br />

the actual average surface temperature (given GHG <str<strong>on</strong>g>and</str<strong>on</strong>g> ∼30% or raising to the 0.25 power using the y x<br />

reflecti<strong>on</strong>)? 81<br />

butt<strong>on</strong>.<br />

14. Based <strong>on</strong> Figures 9.7 <str<strong>on</strong>g>and</str<strong>on</strong>g> 9.8, is the atmosphere transparent or<br />

opaque at a wavelength of 1.0 μm? What about at 6 μm? And how<br />

would you characterize the situati<strong>on</strong> at 2 μm?<br />

15. If enough ice <strong>on</strong> Earth melted <str<strong>on</strong>g>and</str<strong>on</strong>g> resulted in 25% reflectance<br />

instead of 29.3%, what would the equilibrium temperature become,<br />

still applying the nominal 33 K GHG c<strong>on</strong>tributi<strong>on</strong>? How much<br />

temperature rise is this compared to the equilibrium temperature<br />

at 29.3% reflecti<strong>on</strong>?<br />

16. Table 9.4 has H 2 O as the leading greenhouse gas, <str<strong>on</strong>g>and</str<strong>on</strong>g> all of them<br />

adding to 33 ◦ C of warming effect <strong>on</strong> Earth. Should it be our goal<br />

to reduce all of these effects to the lowest numbers possible? 82<br />

Why or why not? How would you characterize the greenhouse<br />

effect <str<strong>on</strong>g>and</str<strong>on</strong>g> why it is of c<strong>on</strong>cern to us?<br />

17. Treating Figure 9.9 somewhat literally, in which <strong>on</strong>e out of every<br />

four infrared phot<strong>on</strong>s escapes without being absorbed by a greenhouse<br />

gas molecule, what would the effective upward radiati<strong>on</strong><br />

be if 400 W/m 2 left the ground, <str<strong>on</strong>g>and</str<strong>on</strong>g> re-radiati<strong>on</strong> of the absorbed<br />

fracti<strong>on</strong> was split equally between upward radiati<strong>on</strong> <str<strong>on</strong>g>and</str<strong>on</strong>g> radiati<strong>on</strong><br />

returning to the ground? 83<br />

82: For instance, if we could cut them all in<br />

half, would that be good?<br />

83: Hint: Figure 9.15 offers clues.<br />

18. If the “bad” news that we are about halfway through the fossil fuels<br />

is wr<strong>on</strong>g, <str<strong>on</strong>g>and</str<strong>on</strong>g> we are <strong>on</strong>ly <strong>on</strong>e-quarter of the way through, <str<strong>on</strong>g>and</str<strong>on</strong>g> we<br />

end up using all of it, what would the ultimate CO 2 c<strong>on</strong>centrati<strong>on</strong><br />

be in ppm v , extrapolating the increase so far? How many degrees<br />

would this turn into based <strong>on</strong> our underst<str<strong>on</strong>g>and</str<strong>on</strong>g>ing of radiative<br />

forcing <str<strong>on</strong>g>and</str<strong>on</strong>g> the climate sensitivity parameter?<br />

19. Using Eq. 9.5 <str<strong>on</strong>g>and</str<strong>on</strong>g> CO 2,orig 280 ppm v , together with a climate<br />

sensitivity parameter of 0.8 ◦ C per W/m 2 , how much would you<br />

predict Earth’s temperature to rise for CO 2 levels of 330, 380, 430, 84: A table would make sense, including<br />

480, 530, <str<strong>on</strong>g>and</str<strong>on</strong>g> 580 ppm v ? 84 The inputs increase by steps of 50 the radiative forcing as <strong>on</strong>e column.<br />

© 2021 T. W. Murphy, Jr.; Creative Comm<strong>on</strong>s Attributi<strong>on</strong>-N<strong>on</strong>Commercial 4.0 Internati<strong>on</strong>al Lic.;<br />

Freely available at: https://escholarship.org/uc/energy_ambiti<strong>on</strong>s.

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