For current lunar atmosphere, Landis gives ten million molecules/cubic centimeter (half nanotorr) during the lunar day 100,000 molecules/cubic centimeter during the lunar night, This corresponds to pressures from 0.001 nanotorr This is good enough to use vacuum tubes without the tube, a vacuum technician’s paradise easily spoiled by large scale outgassing.
(re: Ice King crown) - It is an interesting proposition - but I think you might have forgotten that enthalpy works both ways. It takes specific and finite energy to dissociate oxygen to a vapor phase, and it releases a specific and rather significant amount of energy on being condensed to liquid/or/solid. If less-than-88K is needed, remember that all the condensate will be pushing temperatures UP, with only black-body radiation available to cool everything down.
Now, while there are a LOT of seconds in a year (31.5 million of them), 11 tons per square meter per year is still 0.35 grams per sq. meter per second.
So... 75 additional watts of heat per square meter. Feel like doing the Black-Body thing and calculating both backward what "88K" (converted to blackbody watts) + 75 watts ... reconverted back to degrees K is? I don't think it is close to 88K.
OK, 88 K equals 3.4 watts per square meter.
190.15K equals 74.12 watts per square meter.
Obviously... too high a temperature to equalize into a workable Friedlander steady-state oxygen trap.
Indeed ... your budget is actually more like "1 watt per square meter" above and beyond the natural background lunar regolith output. So... instead of 11 tons/square meter per year, adjust down by 1/75th of that. Maybe then it'd work.
Here are typical contents of the lunar regolith by main regions:
Chemical composition of the lunar surface regolith (derived from crustal rocks)
Compound Formula Composition (wt %)
silica SiO2 45.4% 45.5%
alumina Al2O3 14.9% 24.0%
lime CaO 11.8% 15.9%
iron(II) oxide FeO 14.1% 5.9%
magnesia MgO 9.2% 7.5%
titanium dioxide TiO2 3.9% 0.6%
sodium oxide Na2O 0.6% 0.6%
Total 99.9% 100.0%
Wikipedia on the moon
Note that this is one set of tables on a global average, specific sites could for example double the titanium (and note also these are expressed as oxides, so for example that's not 4% titanium but more like 2%.in the table above.--But in the Sea of Tranquility, for example, you could probably get 4% in random regolith. If you can export from multiple sites, you can often find 10% iron, in a separate place 4% titanium, perhaps 12%+ aluminum, and at another site as much magnesium--using totally different regolith types.)
Keep in mind that by weight oxygen is about 40 % of the lunar regolith and silicon and calcium together around 30 % and you will see that potential export metals are only about a quarter of regolith weight.
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