Question

Give a brief account of thermodynamic function and deduce maxwell's thermodynamic relations

Answer 1

At first glance, it may look that the total number of Legendre transforms has to be C24C42 which is equal to 66.

However, not every combination is possible, T and S are always coupled in the same term and so are P and V. Therefore, the total number of combinations becomes

A22×A22=4