Thread: Maxwell Relations

Hey I'm having a little problem with this question

The enthalpy of a gas is defined by where U satisfies Determine a relationship between the differentials of H, S and p. Hence show that



By regarding U as a function of p and V show that

I can do the first one absolutely fine, just take the total derivative of H and substitute in the expression in for dU then use the fact that mixed partials commute.

The second part I'm having more trouble with, any chance of a hint?

Cheers

Originally Posted by thelostchild

Hey I'm having a little problem with this question


I can do the first one absolutely fine, just take the total derivative of H and substitute in the expression in for dU then use the fact that mixed partials commute.

The second part I'm having more trouble with, any chance of a hint?

Cheers

Here's an idea. Write



as (with Jacobian's)



then



expanding gives your result.