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Derive the fundamental equation from and equation of state

by babbagee
Tags: derive, equation, fundamental, state
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Sep21-11, 11:44 PM
P: 74

I just need help deriving the fundamental equation from Equation of state for wan der waals fluids.




where a,b, and c are constants.

I know the fundamental equation is


I solved the u equation so it's in terms of u and v and just plugged in the P equation to [itex]\frac{P}{T}[/itex] but then I get an equation of two variables which I am not sure how to integrate. So I get an equation in the form of

dS=f(u,v)dU + f(u,v)dv

Can someone help me with the integration please.

Thanks in advance!
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