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Homework Statement
The entropy is given as
[tex]S=a \left(VNU \right)^{\frac{1}{3}} [/tex]
Find the equation of state.
2. The attempt at a solution
I've tried writing [itex]dS[/itex] in terms of [itex]dP[/itex] and [itex]dT[/itex] then using the fact that [itex]dS[/itex] is a perfect differential equate the partial derivatives of the terms. This got me nowhere. I also tried using Maxwell relations.
[tex]\left( \frac{\partial S}{\partial V} \right) _T = \left( \frac{\partial P}{\partial T} \right) _V[/tex]
Thanks
Alex