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Termotanque

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_{b}, it could either increase its temperature a small amount dT = δq/C

_{v}, or suffer a phase change into vapor.

Experimentally, we see that liquids remain at T

_{b}until the phase change is complete, and only then continue increasing their temperature. Why is this?

I want to prove this macroscopically, that is, from thermodynamics, but I don't know where to start. Any leads?