Actually evaporation takes a good place in the process. For example, when you take a shower, water is not at 100°C and yet lots of vapor forms then condensate on walls and windows.
It's because the showerhead forms a fine mist, and the friction of air against small droplets is enough to evaporate a good part of them, thus cooling the rest of each droplet. (huhh im not sure i was clear on that one, but i've got a good ol' headache today).
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