Critical temperature
====================

Critical temperature of a van der Waals fluid depends on the parameters :math:`a` and :math:`b`
of the van der Waals equation and the molar gas constant :math:`R`. See :ref:`vdw_critical_parameters_def`.

**Notation:**

#. :math:`R` (:code:`R`) is :attr:`~symplyphysics.quantities.molar_gas_constant`.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Van_der_Waals_equation#Critical_point_and_corresponding_states>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.equations_of_state.van_der_waals.critical_temperature

.. py:data:: critical_temperature

    Critical :attr:`~symplyphysics.symbols.thermodynamics.temperature` of the van der Waals fluid.

Symbol:
    :code:`T_c`

Latex:
    :math:`T_\text{c}`

Dimension:
    :code:`temperature`


.. py:data:: attractive_forces_parameter

    :attr:`~symplyphysics.symbols.thermodynamics.attractive_forces_parameter`.

Symbol:
    :code:`a`

Latex:
    :math:`a`

Dimension:
    :code:`pressure*volume**2/amount_of_substance**2`


.. py:data:: excluded_volume_parameter

    :attr:`~symplyphysics.symbols.thermodynamics.excluded_volume_parameter`.

Symbol:
    :code:`b`

Latex:
    :math:`b`

Dimension:
    :code:`volume/amount_of_substance`


.. py:data:: law

    :code:`T_c = 8 * a / (27 * R * b)`


    Latex:
        .. math::
            T_\text{c} = \frac{8 a}{27 R b}