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But isn' t there a problem with talking about "the last bit of heat in a
container"? I thought that there was no such notion as the amount of heat
in a container at ANY time. How do I talk about the "last bit"?
Of course there is a problem. There are lots of them starting with the
term heat (which is why I said heat energy). But you wanted the explanation on
a HS level.
Heat energy can only be transferred from a container at one temperature to
a container at a lower temperature.
Therefore it is impossible to remove the last bit of heat energy from a
container thus making its temperature 0.
(This works even with a refrigerator where the lowest temperature is in the
expansion chamber)