Don't abracadabra with technical words, please.
This isn't specifically directed at any of the comments above, but it pains me to see engineers use words as if they were incantations rather than technical concepts that have precise meanings.
To wit: talking about "thermodynamics" or "enthalpy of evaporation" without taking a minute to do some calculations. And no, you don't need to read the Science paper or solve the heat equation to avoid wrong statements.
The point of contention is the 3 liters of water per kg of MOF per day. So, how much energy are we talking about and how big a surface to dissipate it?
The enthalpy of evaporation for water is 2.3 MJ/l and because it's so high you can pretty much ignore the energy of temperature change within the gas or liquid phases; only the phase change matters to a first approximation.
3 liters times 2.3 MJ/l = 6.9 MJ - per day, therefore (divide by 24*3600) 80 W of power.
(At this point most engineers should realize that there's no problem; 80 W from a metal surface in open air will almost surely be peanuts. A human being radiates about 100-200 W depending on the level of activity, or at least that's the number used for HVAC dimensioning when I was in college, back in the Pliocene.)
How big an area are we talking about? Again, even without reading the paper we can do some basic calculations, assuming planar geometry for the MOF deposition.
If the MOF were as dense as lead, 11.34 kg/l, a thin(ish)-film deposition over the base material, say 1/25 mm, would lead to 2.2 m^2 of area, or a square about 1.5 m on the side. To dissipate 80 W. Piece of cake.
But since the MOF is much less dense than lead and is deposited to maximize porosity (that's how the MOF works, it's all physics, no chemistry), it's more like styrofoam, and the area would be around 24 m^2, which makes the "enthalpy of evaporation problem" a non-starter. (It was already a non-starter with 80 W in 2.2 m^2, but the 24 m^2 is closer to reality.)
(The actual geometry of the deposition is more complex, highly non-planar, making use of a copper foam that is infused with the MOF powder, all on a copper substrate, but to know that you'd need the actual paper.)
We are engineers; let's not act like muggles and resort to lobbing words around as if technical terms were incantations. If it's an engineering word, there are probably numbers hiding behind it somewhere. Get those numbers.
You shall know the numbers, and the numbers shall set you free.