Van der Waals equation¶
To more accurately describe the behavior of real gases at low temperatures, a Van der Waals gas model was created, taking into account the forces of intermolecular interaction. In this model, internal energy becomes a function not only of temperature, but also of molar volume.
The Van der Waals equation is one of the well-known approximate equations of state describing the properties of a real gas, having a compact form and taking into account the main characteristics of a gas with intermolecular interaction.
Notation:
\(R\) (
R
) ismolar_gas_constant
.
Links:
- Symbol:
p
- Latex:
\(p\)
- Dimension:
pressure
- molar_volume¶
molar_volume
of the van der Waals fluid.
- Symbol:
v_m
- Latex:
\(v_\text{m}\)
- Dimension:
volume/amount_of_substance
- temperature¶
temperature
of the van der Waals fluid.
- Symbol:
T
- Latex:
\(T\)
- Dimension:
temperature
- attractive_forces_parameter¶
- Symbol:
a
- Latex:
\(a\)
- Dimension:
pressure*volume**2/amount_of_substance**2
- excluded_volume_parameter¶
- Symbol:
b
- Latex:
\(b\)
- Dimension:
volume/amount_of_substance
- law¶
(p + a / v_m^2) * (v_m - b) = R * T
- Latex:
- \[\left(p + \frac{a}{v_\text{m}^{2}}\right) \left(v_\text{m} - b\right) = R T\]