Work is integral of pressure over volume
========================================

The pressure-volume work is the work done by a thermodynamic system when the volume of the
system changes.

**Conditions:**

#. The process is reversible or quasi-static.
#. The system is closed.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Work_(thermodynamics)#Pressure%E2%80%93volume_work>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.work_is_integral_of_pressure_over_volume

.. py:data:: work

    Pressure-volume :attr:`~symplyphysics.symbols.basic.work` done by the system.

Symbol:
    :code:`W`

Latex:
    :math:`W`

Dimension:
    :code:`energy`


.. py:data:: volume

    :attr:`~symplyphysics.symbols.classical_mechanics.volume` of the system.

Symbol:
    :code:`V`

Latex:
    :math:`V`

Dimension:
    :code:`volume`


.. py:data:: pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.pressure` inside the system as a function of :attr:`~volume`.

Symbol:
    :code:`p(V)`

Latex:
    :math:`p{\left(V \right)}`

Dimension:
    :code:`pressure`


.. py:data:: initial_volume

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

Symbol:
    :code:`V_0`

Latex:
    :math:`V_{0}`

Dimension:
    :code:`volume`


.. py:data:: final_volume

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

Symbol:
    :code:`V_1`

Latex:
    :math:`V_{1}`

Dimension:
    :code:`volume`


.. py:data:: law

    :code:`W = Integral(p(V), (V, V_0, V_1))`


    Latex:
        .. math::
            W = \int\limits_{V_{0}}^{V_{1}} p{\left(V \right)}\, dV