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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. ...
efirvida's user avatar
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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 $P = \frac{nRT}{V-nb}-a(\frac{n}{V})^2$ ...
Maggie's user avatar
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1 vote
1 answer
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What happens when $V=Nb$ in the Van der Waals equation (divergent)?

The VdW equation: $$\left(P+a\left(\frac{N^2}{V^2}\right) \right)\left(V-Nb\right)=Nk_BT$$ when the intermolecular forces are zero $a=0$, so $P=\frac{Nk_BT}{V-Nb}$ which diverges at $V=Nb$ for fixed ...
Chern-Simons's user avatar
1 vote
1 answer
558 views

interconverting Van Der Waal's equation for real gases from number of molecules to density

I want to ask a question about Van Der Waal's equation for real gases. I was shown the following formula for real gases (VDW) which accounts for the liquification of water vapour which is not possible ...
vik1245's user avatar
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3 votes
2 answers
5k views

Van der Waals real gas equation

Van der Waals corrected the ideal gas equation for real gases and gave the following equation: $$\left(p+\frac{an²}{V^2}\right)\left(V-nb\right)=nRT$$ I’m very confused about one aspect of this ...
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