Calculate the maximum number of grams of water that can be evaporated when you inhale 0.5 l of 37c air with an original relative humidity of 40%.
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39.6 mg of water can be evaporated when you inhale 0.5 litres of 37c air with an original relative humidity of 40%
*_EXPLANATION_*
this is the mass of water that can still evaporate into this air that's been inhaled, one and a half liters of air. And, the amount of heat that would be transferred away from the body by having some mass evaporate will be this much mass, 0.0396 grams converted into kilograms times by the latent heat of vaporization for water at 37 degrees Celsius. So, this number is not the number you'll find in your data table for latent heat of vaporization because that data table is created for water that is boiling. But, this water is at 37 degree Celsius body temperature and latent heat of vaporization is higher at these lower temperatures. So, this works out to 96.2 Joules of energy. Now, assuming that there are ten breaths per minute or in other words 60 seconds per ten breaths, we can figure out the rate of energy transfer due to this heat loss due to evaporation. So, there's 96.2 Joules of energy lost per breath and then we divide that by 60 seconds per breath and the breath units cancel, leaving us with Joules per second, and this works out to 16.0 watts.
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