Assume that the earth\'s surface emits infrared radiation (IR) as a black body w

Question

Assume that the earth's surface emits infrared radiation (IR) as a black body with its emissivity of Earth's surface of 1, its albedo of A, and its temperature of Ts; and assume that the one-layer atmosphere itself has an absorptivity for shortwave (SW) radiation of as and an absorptivity for longwave (LW) radiation of . Following the procedures we used in the one-layer model in the class, derive the radiation balance questions at both the surface and the top of the one-layer atmosphere. Use the numbers in Table 1 to calculate Ts and Ta, and discuss in a great detail the influences of different A, As and, Al on Ts and T. Table 1 |As |! | T.(K) |T.KI | Description of conditions for solar constant |A (So: W m2) 1367 1367 1367 1367 changes in A, , ! Reference level Increase in clouds Decrease in clouds Increase in greenhouse gas concentrations Decrease in greenhouse gas concentrations Increase in absorption of SW bv the atmosphere Decrease in absorption of SW bv the atmosphere 0.3 0.2 0.8 0.320.2 0.8 0.280.2 0.8 0.30.2 0.82 1367 1367 1367 0.30.2 0.78 0.30.21 0.8 0.30.190.8

Explanation / Answer

earths surface emits infrared radiation (IR) as a black body with its emissivity of Earths surface of 1, its albedo of A, and its temperature of Ts; and assume that the one-layer atmosphere itself has an absorptivity for shortwave (SW) radiation of as and an absorptivity for longwave (LW) radiation of . Following the procedures we used in the one-layer model in the class, derive the radiation balance questions at both the surface and the top of the one-layer atmosphere. Use the numbers in Table 1 to calculate Ts and Ta, and discuss in a great detail the influences of different A, As and, Al on Ts and T. Table 1 |As |! | T.(K) |T.KI | Description of conditions for solar constant |A (So: W m2) 1367 1367 1367 1367 changes in A, ,

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