Meteo 431 –
Atmospheric Thermodynamics
Study guide for the midterm exam on 27 February
If you know all the concepts in the list below, you should be able to do
well on the midterm exam. The
midterm will require some explanations, some few-step problem solving, and some
definitions. Be sure to review
your quizzes and your homework problems.
You should memorize the following items in bold letters.
- Newton's Second Law: F= ma
= m dv/dt
- Energy and work: concepts,
relation to force, and units.
- Working and heating:
concepts, relation to power, similarities and differences between working
and heating.
- The equation for working:
W = - p dV/dt.
- The First Law of
Thermodynamics: concept and equation (including the meaning of each
term). dU/dt= Q + W
- The definition of
temperature: concept and equation. 1/3<mv2> = kT
- Ideal gas law: equation in
two forms. pV = NkT and p = r
RT.
- The concept of flux and of
pressure as a momentum flux.
- Temperature scales:
Fahrenheit, Celsius, and Kelvin.
- Variation with height of
atmospheric temperature, pressure, and density.
- Atmospheric scale height:
concept and equation. H=kT/mg
- The Maxwell Boltzmann
distribution: concept and general equation. N/No =
exp(-energy/kt)
- Dalton's Law: concept and equation.
p = p1 + p2 + p3 ...
- Heat capacity at constant
volume and heat capacity at constant pressure: concepts and equations.
Cv = dU/dT, and Cp = dH/dT
- Enthalpy: concept and equation.
H=U+pV
- The relationship between heat
capacity at constant pressure and heat capacity at constant volume.
- Adiabatic processes: concept
and use.
- Poisson's relations:
equations and how to use them.
- Dry adiabatic lapse rate.
- Stability and buoyancy:
concepts and relation to lapse rate.
- Mixing of parcels:
temperature and water vapor in the mixed parcel.
- Entropy: concept and equation.
dS/dt = Q/T (in process for which W=-pdV/dt and DS
= 0)
- Reversible and irreversible
processes: concepts and examples.
- The Second Law of
Thermodynamics.
- Potential temperature:
concept and equation. Q = T (po/p) (g
-1)/g
- Relationship between
potential temperature and stability.