Gibbs energy formula
====================

Gibbs energy differential cannot be integrated directly using the Euler's theorem on homogeneous
functions but it can be derived via its definition and the relation for internal energy.

**Notes:**

#. This formula works for a single-component system. For a multi-component system replace the
   right-hand side with a sum over each type of components.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Thermodynamic_potential#Euler_relations>`__.

.. py:currentmodule:: symplyphysics.laws.thermodynamics.euler_relations.gibbs_energy_formula

.. py:data:: gibbs_energy

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

Symbol:
    :code:`G`

Latex:
    :math:`G`

Dimension:
    :code:`energy`


.. py:data:: chemical_potential

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

Symbol:
    :code:`mu`

Latex:
    :math:`\mu`

Dimension:
    :code:`energy`


.. py:data:: particle_count

    :attr:`~symplyphysics.symbols.basic.particle_count` of the system.

Symbol:
    :code:`N`

Latex:
    :math:`N`

Dimension:
    :code:`dimensionless`


.. py:data:: law

    :code:`G = mu * N`


    Latex:
        .. math::
            G = \mu N