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Depends on the entry I suppose. A liquid being sprayed out you'd imagine would do exactly that (assuming it's not being heated by sunlight), but that's probably because spraying means it's a lot of tiny droplets, all with very little heat energy individually and lots of surface area to lose it. A big block of something like hot metal wouldn't suddenly freeze, but cool as fast as its surfaces could radiate the internal heat.
This is going strictly as a thought experiment, the math or physics is probably different to some degree.
Boiling/freezing depends on pressure as well as temperature, I think water would actually turn into steam if sprayed into space. There's a story of a spacesuit technician being accidentally exposed to a vacuum and he says his last memory is feeling the saliva bubble on his tongue.
https://www.spacesafetymagazine.com/aerospace-engineering/space-suit-design/early-spacesuit-vacuum-test-wrong/
It will do both. The initial boiling will draw heat away from the other molecules, eventually freezing them. So I suppose it wold depend on how fine the spray pattern is as well as the beginning temperature as to how much goes to gas vs. solid.
I think an additional effect is that, the drop in pressure causes any liquids exposed to it to vaporise, which is an exothermic process, and it's a race to see whether it boils off entirely or the inner part freezes to solid from the drop in temperature through conduction. So the immediate surface of your body would either dry out or flash freeze but the inner part take a while to solidify.
Why there is any ice in space and it doesn't just sublimate away over time I'm not sure.
What I had in mind was stuff like people getting shot into space in sci-fi, stuff like that. Theyre usually shown to freeze in the matter of seconds. So I guess thats unrealistic, though its a little sad because that means its a much more painful death by suffocation
Yes, that's correct. Scenes like from Total Recall or Mission to Mars are totally wrong. It will be more like the opposite of drowning but about as bad. I'm trying to remember if The Expanse got it right in the several examples, they usually do pretty good hard science. It may have been a combination, since anyone seeing someone NOT freeze will say it looks fake.