Water is made of molecules, and the different molecules all have different energies. Hotter water has molecules which are generally more energetic. This energy allows molecules to escape the liquid water, becoming a gas. However, the force holding them to the liquid is significant, and so they slow down as they escape, cooling them off.
So, the higher-energy water molecules escape the liquid, cooling it off. These molecules then lose energy as they escape the water, becoming a relatively cool gas.
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