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Tagged with van-der-waals-behavior thermodynamics
5 questions
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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 $P = \frac{nRT}{V-nb}-a(\frac{n}{V})^2$ ...
1
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1
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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 ...
1
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1
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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 ...
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2
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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 ...