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Homework Assignment #1
Due Friday, Sept 3, 2009
[10] 1.
Mars radiates energy with a peak wavelength of 13.2 um
a) Treating Mars as a blackbody, what would its temperature be?
b) What would be the frequency and energy content of a photon at that wavelength?
[10] 2
. What is the O
3
concentration (ug/m
3
) in the stratosphere at 30 km if its mixing ratio is 10 ppm?
(use the
US Standard Atmosphere
to get P, T values, http://www.digitaldutch.com/atmoscalc/index.htm)
[30] 3.
Simple Greenhouse Model.
Derive the dependence of the Earth’s surface temperature (T
o
) on the
fraction
f
of terrestrial radiation absorbed by the atmosphere. Assume the atmosphere is an isothermal layer
some distance above the earths surface.
It has temperature T
1
and is transparent to solar radiation.
Below is a
sketch to get you started.
Hint what is the energy balance of the atmospheric layer?
[30] 4
. What is the equilibrium temperature of a cube orbiting the sun at the same orbital distance as the planet
Mercury (46 x 10
6
km)?
Assume only one face of the cube is illuminated by the sun. (
Hint you will first need to
calculate the Solar constant for this orbital distance
).

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