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It seems intuitively obvious that Newton's cooling law follows from the 2nd law of thermodynamics. I started trying to prove this, and I think I see how it might be done, although the details look a bit hairy at first glance. Rather than reinvent the wheel, I thought I'd ask if anyone knows of a reference that gives such a proof ... or one that shows such a proof is impossible. I poked around on google for a while, but I couldn't find anything that looked like what I wanted.