(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant 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)

3. 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.

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# Homework Help: Derivation of exponential density function for air

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