Let us consider the heat of vaporization of water at 10C, which is the
temperature within an insulated colony in  Etienne's data.  (Below are the
calculations and assumptions I have made in performing the calculations):

At 10C, the heat of vaporization of water is 591 kcal/kg.

Source:  https://www.engineeringtoolbox.com/water-properties-d_1573.html

Our colonies produce approximately 3 gallons per every 40 pounds of honey
consumed in the winter.

Source:  Water produced in the winter
<https://www.beeculture.com/wait-much-water/#:~:text=Given%20that%20a%20gallon%20of,vapor%2C%20over%20several%20winter%20months.>

26.9 pounds =12.2kg.

Thus,
 591 kcals/kg (heat of vaporization)  X    12.2 kg (weight of water
produced)  =     7210.2 kcals

Finally,

Solid sucrose contains 3.94kcals/gram, or 3940 kcals/kg,

Thus, 7210.2kcals/3940kcals = approximately 4 pounds.  however, honey is
roughly 20% moisture, so approximately 4.8 pounds of honey are conserved in
the above scenario by *not *permitting vapor to escape.

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