Work of ideal gas in isothermal process
=======================================

The isothermal process of expansion (or compression) of a gas can occur under conditions where heat
exchange between the gas and the external environment is carried out at a constant temperature.
To do this, the heat capacity of the external environment must be large enough, and the expansion
(or compression) process must be slow enough.

**Notation:**

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

**Conditions:**

#. The gas is ideal. See :ref:`Ideal gas equation`.
#. The temperature of the gas stays constant during the expansion.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Isothermal_process#Calculation_of_work>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.work_of_ideal_gas_in_isothermal_process

.. py:data:: work

    :attr:`~symplyphysics.symbols.basic.work` done by the ideal gas during the isothermal process.

Symbol:
    :code:`W`

Latex:
    :math:`W`

Dimension:
    :code:`energy`


.. py:data:: amount_of_substance

    :attr:`~symplyphysics.symbols.chemistry.amount_of_substance` of ideal gas.

Symbol:
    :code:`n`

Latex:
    :math:`n`

Dimension:
    :code:`amount_of_substance`


.. py:data:: initial_volume

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

Symbol:
    :code:`V_0`

Latex:
    :math:`V_{0}`

Dimension:
    :code:`volume`


.. py:data:: final_volume

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

Symbol:
    :code:`V_1`

Latex:
    :math:`V_{1}`

Dimension:
    :code:`volume`


.. py:data:: temperature

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

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: law

    :code:`W = n * R * T * log(V_1 / V_0)`


    Latex:
        .. math::
            W = n R T \log \left( \frac{V_{1}}{V_{0}} \right)