Pressure and temperature in isochoric process
=============================================

A thermodynamic process is isochoric when the volume of the body stays constant during it.
During an isochoric process, the pressure of the gas scales by the same amount as the temperature
of the gas.

**Condition:**

#. Applies to ideal gases.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Ideal_gas_law#math_4>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.pressure_and_temperature_in_isochoric_process

.. py:data:: initial_pressure

    Initial :attr:`~symplyphysics.symbols.classical_mechanics.pressure` of the gas.

Symbol:
    :code:`p_0`

Latex:
    :math:`p_{0}`

Dimension:
    :code:`pressure`


.. py:data:: final_pressure

    Final :attr:`~symplyphysics.symbols.classical_mechanics.pressure` of the gas.

Symbol:
    :code:`p_1`

Latex:
    :math:`p_{1}`

Dimension:
    :code:`pressure`


.. py:data:: initial_temperature

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

Symbol:
    :code:`T_0`

Latex:
    :math:`T_{0}`

Dimension:
    :code:`temperature`


.. py:data:: final_temperature

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

Symbol:
    :code:`T_1`

Latex:
    :math:`T_{1}`

Dimension:
    :code:`temperature`


.. py:data:: law

    :code:`p_0 / p_1 = T_0 / T_1`


    Latex:
        .. math::
            \frac{p_{0}}{p_{1}} = \frac{T_{0}}{T_{1}}