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Making use of the Carnot theorem, show t...

Making use of the Carnot theorem, show that in the same of physically uniform substance whose state is defined by the parameters `T` and `V`
`(del U//delV)_T = T(del p//del T)_v - p`
where `U(T, V)` is the internal energy of the substance.
Consider the infinitesmal Carnot cycle in the variables `p, V`.

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