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:

  1. Wikipedia.

reduced_pressure

See Reduced pressure.

Symbol:

p_r

Latex:

\(p_{r}\)

Dimension:

dimensionless

reduced_volume

See Reduced volume.

Symbol:

V_r

Latex:

\(V_{r}\)

Dimension:

dimensionless

reduced_temperature

See Reduced temperature.

Symbol:

T_r

Latex:

\(T_{r}\)

Dimension:

dimensionless

law

(p_r + 3 / V_r^2) * (V_r - 1/3) = 8 * T_r / 3

Latex:
\[\left(p_{r} + \frac{3}{V_{r}^{2}}\right) \left(V_{r} - \frac{1}{3}\right) = \frac{8 T_{r}}{3}\]