Question

Calculate Ts for the given values of the solar input. The discussion part of each question...

Calculate Ts for the given values of the solar input. The discussion part of each question emphasizes physical understanding by comparing Earth to this simple planet. Constant albedo A; use A=0.12. The value of s=5.67 X 10-8 Wm-2K-4.

(a) An Earth without atmosphere: There would be no clouds and no aerosols for simplity, the Earth’s surface albedo is 0.12.

i) Calculate Ts for Sß = 342 W/m2, the global average input and A=0.12. 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?

(ii) To see the effect of clouds on Earth’s surface temperature, we assume the Earth's global average albedo A=0.30. Calculate Ts again. Does your value still differ substantially from 15°C. Based on the difference between Ts values in (i) and (ii), discuss cloud albedo effect on Earth's surface temperature?

Please show me how to do part i and ii.

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