Linear coefficient of thermal expansion
=======================================

The *linear coefficient of thermal expansion* quantifies how an object's length
changes with temperature when pressure remains constant.

**Conditions:**

#. Pressure is constant throughout the temperature change.
#. The temperature interval is small enough for the coefficient to be treated as constant.

**Links:**

#. `Wikipedia <https://en.wikipedia.org/wiki/Thermal_expansion#Length>`__

.. py:currentmodule:: symplyphysics.thermodynamics.response_functions.thermal_expansion.linear_coefficient_of_thermal_expansion

.. py:data:: linear_expansion_coefficient

    Linear :attr:`~symplyphysics.symbols.thermodynamics.thermal_expansion_coefficient` of the object.

Symbol:
    :code:`alpha_l`

Latex:
    :math:`\alpha_{l}`

Dimension:
    :code:`1/temperature`


.. py:data:: temperature

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

Symbol:
    :code:`T`

Latex:
    :math:`T`

Dimension:
    :code:`temperature`


.. py:data:: pressure

    :attr:`~symplyphysics.symbols.classical_mechanics.pressure` of the object, which is held constant.

Symbol:
    :code:`p`

Latex:
    :math:`p`

Dimension:
    :code:`pressure`


.. py:data:: length

    :attr:`~symplyphysics.symbols.classical_mechanics.length` of the object as a function of temperature and, indirectly, pressure :math:`p`.

Symbol:
    :code:`l(T, p)`

Latex:
    :math:`l{\left(T,p \right)}`

Dimension:
    :code:`length`


.. py:data:: law

    :code:`alpha_l = Derivative(l(T, p), T) / l(T, p)`


    Latex:
        .. math::
            \alpha_{l} = \frac{\frac{\partial}{\partial T} l{\left(T,p \right)}}{l{\left(T,p \right)}}