Atmospheric Density, exponential decay derivation

  • Thread starter tony_cruz
  • Start date
  • #1
8
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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)

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*



later i worked through to find it was the scale height ~8.5km but the value is unknown for this question.
 

Answers and Replies

  • #2
8
0
bump 2pm deadline ...
 

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