Laws on ation. Using the energy model sketched below plus concepts oI energy nservation, consider the impact of a dirty war on the global energy. To start, assume that the pact of this war has created an atmosphere that absorbs 75% of the incoming sunlight, while e albedo is reduced to nearly 20%. Let's assume that Earth's ability to reflect incoming solar diation is negligible. The Earth's surface radiates 240 W/m2, all of which is absorbed by the nosphere. Assuming that Earth can be modeled as a blackbody emitter and incoming/outgoing ergy as shown in the schematic, find the following quantities: a) The "nuclear winter" temperature [°C] of the surface of the Earth b) X, the rate [W/m2] at which radiation is emitted from the atmosphere to space c) Y, the rate [W/m²] of absorption of short-wavelength solar radiation at the Earth's surfac d) Z. the rate [W/m21 at which the atmosphere radiates energy to the Earth's surface

Elements Of Electromagnetics
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3. Laws on Conservation. Using the energy model sketched below plus concepts of energy
conservation, consider the impact of a dirty war on the global energy. To start, assume that the
impact of this war has created an atmosphere that absorbs 75% of the incoming sunlight, while
the albedo is reduced to nearly 20%. Let's assume that Earth's ability to reflect incoming solar
radiation is negligible. The Earth's surface radiates 240 W/m2, all of which is absorbed by the
atmosphere. Assuming that Earth can be modeled as a blackbody emitter and incoming/outgoing
energy as shown in the schematic, find the following quantities:
a) The "nuclear winter" temperature [°C] of the surface of the Earth
b) X, the rate [W/m²] at which radiation is emitted from the atmosphere to space
c) Y, the rate [W/m²] of absorption of short-wavelength solar radiation at the Earth's surface
d) Z, the rate [W/m2] at which the atmosphere radiates energy to the Earth's surface
Incoming 342 W/m²
Reflected to space X
Reflected
69
Atmosphere
Abs. 257
Convection,
Evaporation-0
Reflected
Absorbed
Y
Earth
Radiated
240 W/m?
Transcribed Image Text:3. Laws on Conservation. Using the energy model sketched below plus concepts of energy conservation, consider the impact of a dirty war on the global energy. To start, assume that the impact of this war has created an atmosphere that absorbs 75% of the incoming sunlight, while the albedo is reduced to nearly 20%. Let's assume that Earth's ability to reflect incoming solar radiation is negligible. The Earth's surface radiates 240 W/m2, all of which is absorbed by the atmosphere. Assuming that Earth can be modeled as a blackbody emitter and incoming/outgoing energy as shown in the schematic, find the following quantities: a) The "nuclear winter" temperature [°C] of the surface of the Earth b) X, the rate [W/m²] at which radiation is emitted from the atmosphere to space c) Y, the rate [W/m²] of absorption of short-wavelength solar radiation at the Earth's surface d) Z, the rate [W/m2] at which the atmosphere radiates energy to the Earth's surface Incoming 342 W/m² Reflected to space X Reflected 69 Atmosphere Abs. 257 Convection, Evaporation-0 Reflected Absorbed Y Earth Radiated 240 W/m?
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