Consider a simple climate model in which the Earth's atmosphere is represented as a single layer that is transparent to solar radiation but has an absorptivity of 0.8 in the infrared. The Earth's overall albedo is 0.3. a) Draw a diagram to illustrate the contributions to the radiation budget above the atmosphere and directly above the surface. b) Calculate the temperature of the ground in this model.

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Consider a simple climate model in which the Earth's atmosphere is represented as a single
layer that is transparent to solar radiation but has an absorptivity of 0.8 in the infrared. The
Earth's overall albedo is 0.3.
a) Draw a diagram to illustrate the contributions to the radiation budget above the atmosphere
and directly above the surface.
b) Calculate the temperature of the ground in this model.
c) Calculate the temperature of the atmosphere in this model.
d) An increase in carbon dioxide causes the infrared absorptivity of the atmosphere to increase
by 2.6 %. Calculate the resulting change in surface temperature.
Transcribed Image Text:Consider a simple climate model in which the Earth's atmosphere is represented as a single layer that is transparent to solar radiation but has an absorptivity of 0.8 in the infrared. The Earth's overall albedo is 0.3. a) Draw a diagram to illustrate the contributions to the radiation budget above the atmosphere and directly above the surface. b) Calculate the temperature of the ground in this model. c) Calculate the temperature of the atmosphere in this model. d) An increase in carbon dioxide causes the infrared absorptivity of the atmosphere to increase by 2.6 %. Calculate the resulting change in surface temperature.
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