And why not? Every time a battery powers an (incandescent) flashlight, energy is flowing from a colder object to a hotter object.
Actually, no. The temperature of the electrons moving in the current is quite high. At least according to the uncontroversial definitions generally used. These electrons have a lot of kinetic energy.
A system at 0 K can still carry energy. There is nothing in the laws of physics that prevents this.
Actually there is. 0 K is the state where no further energy can be extracted from the system. So a 0 K system can't do work on any system, whether the other system is at 0 K also, or not.
Do you have in mind that a motor could be cooled down to 0 K and then run, or that a battery could be cooled down to 0 K and then run? It could be that parts of a battery or motor are at 0 K, perhaps the metal rods or cylinders of a motor are at 0 K, but the motor still turns to produce energy. But the motor itself is not at 0 K, it has motion, kinetic energy, which can be lower by its stopping running.
By the way, do you have any links to anything substantial that puts the temperature of microscopically known boiling water at 0 K? So far I've been contradicting your assertions without seeing the details that might lie behind them.
The temperature of the electrons moving in the current is quite high. At least according to the uncontroversial definitions generally used.
I have to say, that definition is quite new to me. The electron temperature in a piece of copper is pretty much the same as the rest of the copper, even when it's carrying many amps of current.
But to give an even more straightforward example, think of a cold flywheel turning a hot flywheel. I suppose you're going to say that the cold flywheel is 'hot' because it's turning. I'm sorry but that's not how thermodynamic...
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.
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