- #1
babbagee
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Hello,
I just need help deriving the fundamental equation from Equation of state for wan der waals fluids.
P=[itex]\frac{RT}{v-b}[/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]dvI 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!
I just need help deriving the fundamental equation from Equation of state for wan der waals fluids.
P=[itex]\frac{RT}{v-b}[/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]dvI 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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