Our 35 F chest-refrigerator with 50% RH has14 grains of water-vapor in
each pound of room air
I'm not sure what you mean by that. It seems to me that the moisture in
the room air is more important than the moisture inside the fridge when
the fridge door is closed.
But Nick's rooftop solar still bakes his LiCl desiccant liquid to
50% concentration. This puts his room air, which is in vapor-pressure
equilibrium with it, at a vapor pressure of 0.109 "Hg, with a RH of
7.5% and its dewpoint is 18.2F
That's a completely different application (cooling and dehumidifying
a house), and the vapor pressure of the room air would be higher than
the vapor pressure in the still.
Nick