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voxel
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Homework Statement
Derive the pressure, density and temperature profiles of an adiabatically stratified plane-parallel atmosphere under constant gravitational acceleration g. Assume that the atmosphere consists of an ideal gas of mean molecular weight [tex]\mu[/tex].
Given [tex]\mu[/tex]=14u, g = 9.81m/s^2, z = 8500m, T (@sea level) = 300K, calculate temperature and pressure at the summit.
Homework Equations
Edit: removed the ideal gas law and barometric formula because I think I was on the wrong track with them...
The Attempt at a Solution
I have been able to derive the barometric formula (which doubles as a pressure and density profile) from the ideal gas law, but am stuck in a bit of a circular problem: I need the temperature at the top of the summit to get the pressure, and vice versa. I don't know how to proceed, or maybe I've taken the wrong approach.
Any help would be appreciated!
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