For a homogeneous function to degree n in x + y:
In thermo there are 2 special cases
1st detree in mass (extensive)
0th degree in mass (intensive)
\ U is a single value state function.
Corollary – Postulate 1:
Any intensive variable can be expressed as n + 1 independent intensive variables.
N.B. = intensive & extensive variable derivatives have different meanings.
We showed earlier:
Euler’s theorem says:!
Tricks with partials: