It's not because of the temperature of the air. It's because of the temperature of the water molecules
Sorry if I'm pedantic, but that doesn't make much sense. The
temperature is the temperature of
the gas. Temperature is a statistical property defined for a whole system and expression of the average kinetic energy of
all the molecules, not individual ones, of whatever substance they might be.
gfunc's explanation makes sense to me.
Deeday