I don't understand this. I can't understand how the thermodynamics works to not simply heat the air back up again when you dehumidify. I guess you can somehow h

I don't understand this. I can't understand how the thermodynamics works to not simply heat the air back up again when you dehumidify. I guess you can somehow have all the latent heat of vaporisation go into the water? Can anyone explain this? Surely an adsorber based system must release that energy at some point.