It would take roughly 5000 square meter area to cool a typical small data center heat output (1 MW). Not great, not terrible.
That is a very tiny amount of compute though.
Yeah but these hyperscalers are building data centers that are 100 or even 1000 mW
Apparently, OpenAI plan to build 250 GW of computing capacity by 2033.
To put that in space, based on your numbers, that's 1,250 square kilometers of cooling - an area roughly equivalent in size to Los Angeles