Pressure from number density and kinetic energy
===============================================

The ideal gas equation can be written in an equivalent way using the number density
of the gas and the average kinetic energy of gas particles.

**Condition:**

#. The gas is ideal.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Kinetic_theory_of_gases#Pressure_and_kinetic_energy>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.pressure_from_number_density_and_kinetic_energy

.. py:data:: average_kinetic_energy

    Average :attr:`~symplyphysics.symbols.classical_mechanics.kinetic_energy` of gas particles.

Symbol:
    :code:`avg(K)`

Latex:
    :math:`\langle K \rangle`

Dimension:
    :code:`energy`


.. py:data:: number_density

    :attr:`~symplyphysics.symbols.basic.number_density` of the gas.

Symbol:
    :code:`n`

Latex:
    :math:`n`

Dimension:
    :code:`1/volume`


.. py:data:: pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.pressure` inside the gas.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`pressure`


.. py:data:: law

    :code:`p = 0.666666666666667 * n * avg(K)`


    Latex:
        .. math::
            p = 0.666666666666667 n \langle K \rangle