- #1
tony_cruz
- 8
- 0
Homework Statement
If atmosphere can be treated as an isothermal ideal gas of constant mean molecular mass m, show that density drops exponentially with height - ρ= [ρ0]e^-z/h - where h is a constant
Homework Equations
ρ= [ρ0]exp^-z/h (derivation of ...)
ρ=density
ρ0=initial density at sea level
z = height
h = scale height (found in later question to be 8.5km)
The previous question was also a derivation -->
dP/dz = -gρ which I managed. May or not be a starting point to this question
(P = pressure, z = distance, g= acc due to grav, ρ = density)
The Attempt at a Solution
I've read my lecture notes about 100x but can't even begin to see where this derivation can come from. A previous derivation was the equation
dP/dz = -gρ
(P = pressure, z = distance, g= acc due to grav, ρ = density)
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Sorry ese's, I posted this in the wrong section to start with.