Derivation of Adiabatic Lapse Rate

pm272

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, c_vdT.

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

Thanks.

olivermsun

The gravitational potential energy appears through the pressure P(z) because of the hydrostatic condition.

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pm272	Derivation of Adiabatic Lapse Rate Tweet 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, c_vdT. I can't think of a reason to neglect gravitational potential energy here. Thanks.

olivermsun	The gravitational potential energy appears through the pressure P(z) because of the hydrostatic condition.