Hydrostatic Equilibrium
P -g · · dz =
-g · n · <mw>/V
· dz
If the Ideal gas law holds (note:
Rg = Runiv/<mw>), then
P = -P · (g · <mw>)/
(Runiv T) · dz = -P · dz/H(z),
where
H(z) = Rg(z) · T(z)/g(z)
If the scale height is constant, then
P = P0 · exp(-z/H0), where
H0 = Rg · T/g