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:

1. $R$ (R) is molar_gas_constant.

Links:

1. Wikipedia.

pressure

pressure in the van der Waals fluid.

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

attractive_forces_parameter.

Symbol:

a

Latex:

$a$

Dimension:

pressure*volume**2/amount_of_substance**2

excluded_volume_parameter

excluded_volume_parameter.

Symbol:

b

Latex:

$b$

Dimension:

volume/amount_of_substance

law

(p + a / v_m^2) * (v_m - b) = R * T

Latex:

$$(p+\frac{a}{v_{\text{m}}^2})(v_{\text{m}}-b)=RT$$