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:

  1. The process is reversible or quasi-static.

  2. The system is closed.

Links:

  1. Wikipedia.

work

Pressure-volume work done by the system.

Symbol:

W

Latex:

\(W\)

Dimension:

energy

volume

volume of the system.

Symbol:

V

Latex:

\(V\)

Dimension:

volume

pressure

pressure inside the system as a function of volume.

Symbol:

p(V)

Latex:

\(p{\left(V \right)}\)

Dimension:

pressure

initial_volume

Initial volume of the system.

Symbol:

V_0

Latex:

\(V_{0}\)

Dimension:

volume

final_volume

Final volume of the system.

Symbol:

V_1

Latex:

\(V_{1}\)

Dimension:

volume

law

W = Integral(p(V), (V, V_0, V_1))

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