Potential Energy of the Atmosphere

[boopdebeep]

Summary:: I have been trying to do this question for a while using the hydrostatic relationship to put rho and z in terms of p, however, I can not seem to end up with an answer. Can anyone suggest where to start.

The question is as follows:

 

[BvU]

Helli @boopdebeep ,

##\qquad# !​

using the hydrostatic relationship to put rho and z in terms of p

might not be so useful. Do you know about the ideal gas law ?

btw: PF rules ask a bit more from you than just 'can't find an answer' ...

$\$