1. Su

timer Asked: Mar 25th, 2016

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1. Suppose that a fraction x of the radiation from the sun which is incident on the earth’s atmosphere is immediately reflected and not absorbed by the earth’s surface. Use the solar constant of 1354 watts/m2 and the value σ =5.69 × 10−8 watts/m2K4 for this problem. Assume in both parts that the earth is black so that the law, radiation rate = Aσ T4, applies. Find the temperature of the earth’s surface for the cases x=0,0.1, 0.2,0.3, 0.4,0.5 and make a graph of the results (T vs x). Now assume that x=0, but that a fraction y of the infrared radiation from the earth (whose surface is again assumed to be black) is absorbed by greenhouse gas molecules and then remitted (1/2 outward and 1/2 back toward the earth) while the rest of the infrared radiation goes straight into space. Find the earth’s surface temperature for y values 0.,0.1,0.2,0.3,0.4,0.5,0.6 and make another graph of the earth’s surface temperature versus y with x fixed at 0. 

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