This depends on many factors.
Yes.
Sponging babies with a fever using cool water helps to reduce their body temperature quickly. The cool water evaporates from their skin, causing heat loss and lowering their fever. It is a safe and effective way to bring down a high temperature in infants.
Because the solvent is water ant it evaporates quickly.
Pure water is evaporated faster than water with sugar.
Fanning increase the rate of evaporation.
That depends on what temperature the pure water is at. Pure water in general does cool faster, however.
Impurities in water lower the rate of evaporation because impurities increase the boiling point.
fast
At high temperature (high power in watts) water is evaporated faster.
Sure.
When water evaporates, the molecules gain enough energy to break free from the liquid phase and enter the gas phase. This results in an increase in the overall movement of water molecules as they transition from being closely packed in the liquid to being more spread out in the gas phase.
the temperature at which it is being cooled