Number of impacts on the wall from area and speed
=================================================

The number of impacts of molecules against the wall in a specified direction is
proportional to the number density of the molecules, the area of the wall, the
projection of velocity in said direction and time.

**Conditions:**

#. Gas is ideal.
#. Wall is flat and perpendicular to specified axis.

**Links:**

#. `Chemistry LibreTexts, similar formula <https://chem.libretexts.org/Bookshelves/Physical_and_Theoretical_Chemistry_Textbook_Maps/Physical_Chemistry_(LibreTexts)/27%3A_The_Kinetic_Theory_of_Gases/27.04%3A_The_Frequency_of_Collisions_with_a_Wall>`__.

..
    TODO: fix file name

.. py:currentmodule:: symplyphysics.laws.thermodynamics.number_of_impacts_of_molecules_on_the_wall_from_area_and_velocity

.. py:data:: impact_count

    Impact count.

Symbol:
    :code:`N`

Latex:
    :math:`N`

Dimension:
    :code:`dimensionless`


.. py:data:: number_density

    :attr:`~symplyphysics.symbols.basic.number_density` of particles.

Symbol:
    :code:`n`

Latex:
    :math:`n`

Dimension:
    :code:`1/volume`


.. py:data:: area

    Wall :attr:`~symplyphysics.symbols.classical_mechanics.area`.

Symbol:
    :code:`A`

Latex:
    :math:`A`

Dimension:
    :code:`area`


.. py:data:: velocity_projection

    Projection of velocity vector in the given direction. See :attr:`~symplyphysics.symbols.classical_mechanics.speed`.

Symbol:
    :code:`v`

Latex:
    :math:`v`

Dimension:
    :code:`velocity`


.. py:data:: time

    :attr:`~symplyphysics.symbols.basic.time`.

Symbol:
    :code:`t`

Latex:
    :math:`t`

Dimension:
    :code:`time`


.. py:data:: law

    :code:`N = n * A * v * t / 2`


    Latex:
        .. math::
            N = \frac{n A v t}{2}