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Bài tập môn khí hậu học

1. Calculate the average temperature of Earth (including the atmosphere).
Assuming that the Earth is a blackbody and albedo is equal to 0.31.
2. The observed Earth surface temperature data are 18oC and 26oC. Calculate the
radiation intensity of the Earth, the wavelength of peak emission at each time.
Assuming that the Earth is a blackbody.
3. Prove that the pressure changes in each individual case obey the following
equations :
a) In a homogeneous atmosphere (density does not change with height)
p z = p0 − g 0 ρ 0 z

b) Temperature does not change with height
⎛ z ⎞
p z = p0 exp⎜ − ⎟ where H =
⎝ H⎠

c) Temperature decreases linearly with height: T = T0 - γz where γ = -∂T/∂z
p z ⎛ Tz ⎞
=⎜ ⎟
p0 ⎜⎝ T0 ⎟⎠

g / Rγ

⎛ T − γz ⎞
= ⎜⎜ 0
⎝ T0 ⎠

g / Rγ

⎛ γz ⎞
= ⎜⎜1 − ⎟⎟
⎝ T0 ⎠

g / Rγ

Determine the height in each case at which the pressure is equal 0.
Subscript “0” denotes the surface values.
4. Assuming that the atmosphere has a temperature of -33oC which does not
change with height and surface pressure is 1000mb. Calculate the heights at
which atmospheric pressure is 100, 10 and 1mb.
5. The Buon Me Thuot meteorological station has 500m height above sea level
and its atmospheric pressure is 920mb and its temperature is 20oC. Assuming
that the atmosphere below the station height has the same temperature. Calculate
the atmospheric pressure at sea level.
6. Calculate the atmospheric pressure at Phanxipang peak (3143m height),
knowing that the atmospheric pressure and temperature at Sapa with 2000m
height above sea level are 860mb and 20oC, respectively. Assuming that the

temperature decreases linearly with height with the rate of 0.60/100m in the layer
between Sapa and Phanxipang.
7. Prove the derivation of an expression for the dry adiabatic lapse rate, namely
Γd = -(dT/dz)dry parcel ≈ g/cp = 1o/100m.

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