Heat capacity ratio
===================

The *heat capacity ratio* (also called the *adiabatic index*, *ratio of specific heats*, or *isentropic expansion factor*)
is the ratio of heat capacity at constant pressure to heat capacity at constant volume. It governs adiabatic processes and
influences the speed of sound in a medium.

**Notes:**

#. One can also use intensive heat capacities, e.g. specific or molar, in place of the extensive heat capacities presented here.

**Links:**

#. `Wikipedia – Heat capacity ratio <https://en.wikipedia.org/wiki/Heat_capacity_ratio>`__

.. py:currentmodule:: symplyphysics.thermodynamics.response_functions.heat_capacity.heat_capacity_ratio

.. py:data:: heat_capacity_ratio

    :attr:`~symplyphysics.symbols.thermodynamics.adiabatic_index` of the system.

Symbol:
    :code:`gamma`

Latex:
    :math:`\gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: isobaric_heat_capacity

    :attr:`~symplyphysics.symbols.thermodynamics.heat_capacity` of the system at constant 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 the system at constant volume.

Symbol:
    :code:`C_V`

Latex:
    :math:`C_{V}`

Dimension:
    :code:`energy/temperature`


.. py:data:: law

    :code:`gamma = C_p / C_V`


    Latex:
        .. math::
            \gamma = \frac{C_{p}}{C_{V}}