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## Main Question or Discussion Point

Hi all, I'm working through a derivation of the general relationship between C

I understand that

and

and that this implies the following:

but isn't this equal to 0? Shouldn't the two partial derivatives on the right hand side, by the cyclic rule, multiply to -(∂S/∂T)

I know that I'm missing something here but I can't work out what it is.

Help appreciated!

_{p}and C_{v}and there's one point which is confusing me.I understand that

and

and that this implies the following:

but isn't this equal to 0? Shouldn't the two partial derivatives on the right hand side, by the cyclic rule, multiply to -(∂S/∂T)

_{V}?I know that I'm missing something here but I can't work out what it is.

Help appreciated!