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Derivation of Adiabatic Lapse Rate

 
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Jun20-12, 05:07 PM   #1
 

Derivation of Adiabatic Lapse Rate


In the derivation of the adiabatic lapse rate, upon using the 1st law of thermodynamics: Why is potential energy neglected? The parcel of air is doing work PdV which is balanced by the internal energy term, cvdT.

I can't think of a reason to neglect gravitational potential energy here.

Thanks.
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Jun22-12, 10:06 AM   #2
 
The gravitational potential energy appears through the pressure P(z) because of the hydrostatic condition.
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