Isobaric Process:
An isobaric process takes place at a constant pressure, meaning:
\[
\Delta P = 0
\]
Example:
- Heating water in an open container at constant atmospheric pressure.
The work done during an isobaric process is given by:
\[
W = P \Delta V
\]
Adiabatic Process:
An adiabatic process occurs when there is no heat exchange between the system and its surroundings.
\[
q = 0
\]
Example:
- Sudden expansion or compression of a gas in an insulated container.
For an adiabatic process, the relationship between pressure and volume is:
\[
PV^\gamma = \text{constant}
\]