Dimensionless equation¶

The dimensionless form of the van der Waals equation of state features reduced quantities. One notable property of the dimensionless equation of state is that it contains no substance-specific quantities, i.e. all van der Waals fluids will plot on the same reduced pressure-volume curve at the same reduced temperature.

Links:

Wikipedia.

reduced_pressure¶

See Reduced pressure.

Symbol:: p*
Latex:: \(p^*\)

reduced_volume¶

See Reduced volume.

Symbol:: V*
Latex:: \(V^*\)

reduced_temperature¶

See Reduced temperature.

Symbol:: T*
Latex:: \(T^*\)

law¶

(p* + 3 / (V*)^2) * (V* - 1/3) = 8/3 * T*

Latex:: \[\left( p^* + \frac{3}{\left(V^*\right)^2} \right) \left( V^* - \frac{1}{3} \right) = \frac{8}{3} T^*\]