- #1

fluidistic

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## Homework Statement

I know that theoretically when one has the fundamental equation of a system, one can find the state equations and totally solve the system (if I understood well, I could make the analogy in classical mechanics of having the Lagrangian gives you the equations of motion). However I'm not sure how to do so. There are many problems asking you to do this and I'm stuck on this.

From Callen's book (1st edition, page 34): 1)Find the three equations of state for a system with the fundamental equation [itex]u=\left ( \frac {\theta }{R} \right )s^2+ \left ( \frac {R \theta }{v_0 ^2} \right )v^2[/itex].

2)Express [itex]\mu[/itex] as a function of T and P.

## Homework Equations

[itex]du=Tds-Pdv[/itex] where [itex]u=U/N[/itex] (N is the number of moles), [itex]s=S/N[/itex] and [itex]v=V/N[/itex].

## The Attempt at a Solution

I'm not exactly sure what are the 3 equations of state here. Apparently [itex]T(s,v)[/itex], [itex]P(s,v)[/itex] and [itex]\mu (s,v)[/itex] where mu is the chemical potential.

Also I don't know what are theta and R. Constants? Maybe R is the gas constant?

Can someone could get me started? I'm guessing the problem is very easy, a simple matter of differentiation/integration only and rearanging terms, etc.

Thanks a lot for any help.