When air moves vertically (up or down), it is almost never the case that it exchanges energy in form of heat with it's surrounding, because air is a very bad conductor. However, air cools adiabatically while moving vertically. When air rises, it expands, and therefore there is a lower air pressure. With the lower air pressure, the temperatures also sinks. This works the other way around when the air is sinking. Below the condensation level (the level at which the water vapor in the air condenses into clouds) the adiabatic cooling/warming is around 1°C per 100m. Above the condensation level it is between 0.6 and 0.65°C per 100m altitude.
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M.I.L.K. - Meteorology: Information. Learning. Knowledge.