Written by the Fiveable Content Team โข Last updated September 2025
Written by the Fiveable Content Team โข Last updated September 2025
Definition
Expansion work is the work done by a system when it expands against an external pressure. It often occurs during processes where gases are involved, such as in chemical reactions or physical changes.
5 Must Know Facts For Your Next Test
Expansion work is calculated using the formula $W = -P_{ext} \Delta V$, where $P_{ext}$ is the external pressure and $\Delta V$ is the change in volume.
The sign of expansion work is negative because the system loses energy to do the work on the surroundings.
In an isothermal process for an ideal gas, expansion work can be calculated using $W = -nRT \ln(\frac{V_f}{V_i})$, where $n$ is the number of moles, $R$ is the gas constant, and $V_f$ and $V_i$ are final and initial volumes respectively.
Expansion work only occurs if there is a change in volume during a process.
Reversible processes perform maximum expansion work compared to irreversible processes.