Speed of sound in ideal gas
===========================

Also known as the Laplace's formula of the speed of sound, it provides a correct expression
for the speed of sound for ideal gases compared to the Newton's formula. See
:doc:`laws.thermodynamics.isentropic_speed_of_sound_via_pressure_derivative`.

**Notation:**

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

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Speed_of_sound#Speed_of_sound_in_ideal_gases_and_air>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.speed_of_sound_in_ideal_gas

.. py:data:: speed_of_sound

    :attr:`~symplyphysics.symbols.classical_mechanics.speed` of sound in gas.

Symbol:
    :code:`v_s`

Latex:
    :math:`v_\text{s}`

Dimension:
    :code:`velocity`


.. py:data:: temperature

    :attr:`~symplyphysics.symbols.thermodynamics.temperature` of the gas.

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: heat_capacity_ratio

    Heat capacity ratio, or :attr:`~symplyphysics.symbols.thermodynamics.adiabatic_index`, of the gas.

Symbol:
    :code:`gamma`

Latex:
    :math:`\gamma`

Dimension:
    :code:`dimensionless`


.. py:data:: molar_mass

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

Symbol:
    :code:`M`

Latex:
    :math:`M`

Dimension:
    :code:`mass/amount_of_substance`


.. py:data:: law

    :code:`v_s = sqrt(gamma * R * T / M)`


    Latex:
        .. math::
            v_\text{s} = \sqrt{\frac{\gamma R T}{M}}