Tanner H. answered 05/10/20
BS in Chemical Engineering and current PhD student
Sweat cools us off because evaporation requires energy. To move from a liquid phase (on your skin) to a vapor phase (in the air), the water in your sweat needs some energy input. This energy comes from your skin, which in turn lowers your surface temperature.
Ethanol has a higher vapor pressure than water (mostly due to the lesser extent of hydrogen bonding), so it will evaporate faster than water. However, because ethanol experiences less hydrogen bonding than water, it also requires slightly less energy to evaporate. This means that it would take more ethanol to get the same cooling effect.
So, it would not necessarily be more efficient for humans to sweat ethanol, we would just have to sweat more of it to compensate for the lower heat of vaporization. To know for sure, you could estimate the rate of evaporation for both water and ethanol, and multiply by the heat of vaporization of each.