| ▲ | foota 16 hours ago | |||||||
Heat exchange is proportional to the difference in temperature though (in reference to your "or heat exchange"). Colder water would cool faster. The tank isn't at boiling either, so it's not like you'll be able to phase change away a bunch of energy. I guess you'll still get some evaporative cooling, but there's a limit to how much you'll get just from the ambient temperature (the exterior of the tank is relatively cool, presumably because the "gummed up" interior is inhibiting heat transfer) | ||||||||
| ▲ | jandrewrogers 7 hours ago | parent [-] | |||||||
The increase in heat removal rate for a 20K temperature difference is quite small unless the source and sink have a similar temperature. This emergency exists because they are not even close to being similar temperatures. Evaporative (phase change) cooling does most of the heavy lifting and is very efficient. It is the same reason sweating cools the body much more effectively in low humidity than high humidity environments regardless of the temperature when you drink it. Attributing how drinking water cools the body via various effects is a classic introductory thermodynamics exercise. | ||||||||
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