Question: 3 (40 Pts, Parts A-d). Consider A Scenario Where Earth Has No Atmosphere. According To Eq. (2.2) The Infrared Radiation Emitted By Any Point On The Surface Will Be: Rsfc = O14 Where O = 5.67 X 10-8W M-2K-4. This Will Escape Directly To Space Since There Is No Atmosphere. The Net Solar Radiation Input Is (1 – AS Where St Is The Solar Radiation Input. …

Question: 3 (40 Pts, Parts A-d). Consider A Scenario Where Earth Has No Atmosphere. According To Eq. (2.2) The Infrared Radiation Emitted By Any Point On The Surface Will Be: Rsfc = O14 Where O = 5.67 X 10-8W M-2K-4. This Will Escape Directly To Space Since There Is No Atmosphere. The Net Solar Radiation Input Is (1 – AS Where St Is The Solar Radiation Input. …

3 (40 pts, parts a-d). Consider a scenario where Earth has no atmosphere. According to Eq. (2.2) the infrared radiation emitt

(a, 10 pts) (1) Calculate T, for S! = 342 W/m², where A = 0.10. Compare to the global average Ts on Earth, which is about 15°

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3 (40 pts, parts a-d). Consider a scenario where Earth has no atmosphere. According to Eq. (2.2) the infrared radiation emitted by any point on the surface will be: Rsfc = o14 where o = 5.67 x 10-8W m-2K-4. This will escape directly to space since there is no atmosphere. The net solar radiation input is (1 – AS where st is the solar radiation input. By assuming no atmospheric or oceanic transport, and that the heat storage into the surface is negligible without the ocean, at any latitude we have the energy balance: Rfc = (1 – A)S (a, 10 pts) (a, 10 pts) (1) Calculate T, for S! = 342 W/m², where A = 0.10. Compare to the global average Ts on Earth, which is about 15°C. How different is the real Earth’s Ts (15°C) from the Ts you just calculated? (Keep in mind the units of temperature here). (ii) To see the effect of clouds on Earth’s surface temperature, we assume the Earth’s global average albedo A = 0.31. Calculate Ts again. Does your value still differ substantially from 15°C? (Again, keep in mind the units of temperature here). (iii) Based on the difference between Ts values in (i) and (ii), discuss the cloud albedo effect on Earth’s surface temperature. (b, 10 pts) Here we consider a “snowball Earth” (still with no atmosphere): use A = 0.80, a reasonable value for permanent ice cover. (i) Calculate the Earth’s surface temperature for St = 342 W/m2 (global mean), and also for St = 420 W/m2 (the annual average near the equator). (ii) Compare the two surface temperature values you calculated to the answer in parts a(i) and a(ii). Is it plausible that if Earth got into this ice covered, low greenhouse gas state it could maintain ice even at the equator?