Infinitesimal work in quasistatic process

For a process in a closed system, occuring slowly enough for it to be quasi-static (i.e. the system remains in internal physical, but not necessarily chemical, thermodynamic equilibrium), the infinitesimal increment of work done by the system is related to the pressure inside the system and the infinitesimal increment of volume of the system.

Notation:

  1. \(\delta\) (delta) denotes that the increment is an inexact, path-dependent differential.

  2. \(d\) denotes that the increment is an exact, path-independent differential.

Links:

  1. Wikipedia.

work_done_by_system

Infinitesimal increment of work done by the system.

Symbol:

delta(W)

Latex:

\(\delta W\)

Dimension:

energy

pressure

pressure inside the system.

Symbol:

p

Latex:

\(p\)

Dimension:

pressure

volume_change

Infinitesimal increment of volume of the system.

Symbol:

dV

Latex:

\(dV\)

Dimension:

volume

law

delta(W) = p * dV

Latex:
\[\delta W = p dV\]