mountains must suck the heat out of the air?
yup
foe-neem effect
https://en.wikipedia.org/wiki/Foehn_wind
is a type of dry, relatively warm, downslope wind that occurs in the lee (downwind side) of a mountain range. It is a rain shadow wind that results from the subsequent adiabatic.....
yikes better stop there, this is AB !
Applies first and second laws of thermodynamics - no wonder it is called Foehn, There is a change of state of damp air - water goes out and dews and the heat lost heats up the air.
yikes too much detail