Isochoric and isobaric heat capacities of ideal gas
===================================================

The **Mayer's relation** is the relation between heat capacity at constant pressure and that at
constant volume in the case of an ideal gas.

**Notation:**

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

**Conditions:**

#. Gas is ideal.

**Links:**

#. `Wikipedia, first formula <https://en.wikipedia.org/wiki/Mayer%27s_relation>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.isochoric_and_isobaric_heat_capacity_of_ideal_gas

.. py:data:: isobaric_heat_capacity

    :attr:`~symplyphysics.symbols.thermodynamics.heat_capacity` of gas at constant :attr:`~symplyphysics.symbols.classical_mechanics.pressure`.

Symbol:
    :code:`C_p`

Latex:
    :math:`C_{p}`

Dimension:
    :code:`energy/temperature`


.. py:data:: isochoric_heat_capacity

    :attr:`~symplyphysics.symbols.thermodynamics.heat_capacity` of gas at constant :attr:`~symplyphysics.symbols.classical_mechanics.volume`.

Symbol:
    :code:`C_V`

Latex:
    :math:`C_{V}`

Dimension:
    :code:`energy/temperature`


.. py:data:: amount_of_substance

    :attr:`~symplyphysics.symbols.chemistry.amount_of_substance`.

Symbol:
    :code:`n`

Latex:
    :math:`n`

Dimension:
    :code:`amount_of_substance`


.. py:data:: law

    :code:`C_p - C_V = n * R`


    Latex:
        .. math::
            C_{p} - C_{V} = n R