derive the fundamental equation from and equation of stateby babbagee Tags: derive, equation, fundamental, state 

#1
Sep2111, 11:44 PM

P: 74

Hello,
I just need help deriving the fundamental equation from Equation of state for wan der waals fluids. P=[itex]\frac{RT}{vb}[/itex][itex]\frac{a}{v^2}[/itex] and u=cRT[itex]\frac{a}{v}[/itex] where a,b, and c are constants. I know the fundamental equation is dS=[itex]\frac{1}{T}[/itex]dU+[itex]\frac{P}{T}[/itex]dv 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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