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I was hoping that someone might be able to help me out with a formal derivation of this common thermodynamic equation regarding the change in entropy during an isothermal change of state.

The first equation is what I would like to derive, and the second is where the book tells me to derive it from once we acknowledge that there is no energy change in an isothermal process. I've tried a few different ways but haven't had success yet. I'm thinking it has to do with the first law and then somehow relating heat to entropy.

Anyway, thanks for any help. Even a link would rock!

Best regards

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