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Tagged with van-der-waals-behavior thermodynamics
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What’s the physical meaning of (∂v/∂T )P?
I'm solving this exersice:
The equation of state of a Van der Waals gas is
\begin{equation}
\left(P + \frac{a}{v^2}\right)(v-b) = RT
\tag{1}
\end{equation}
Where $a$,$b$ and $R$ are constants.
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How should I evaluate $\left(\frac{\partial U}{\partial V}\right)_T$ with van der waals equation: $P = \frac{nRT}{V-nb}-a(\frac{n}{V})^2$?
So in my homework I was able to get this-
$\left(\frac{\partial U}{\partial V}\right)_T = T(\frac{\partial P}{\partial T})_V - P$
but now I'm trying to plug in $P = \frac{nRT}{V-nb}-a(\frac{n}{V})^2$ ...