Q=ΔU+W

For an adiabatic process (Q=0), this simplifies to:

ΔU=−W

Where:

  • Q is the heat added or removed from the system.
  • ΔU is the change in the system's internal energy.
  • W is the work done on or by the system.

In numerical terms, if a gas undergoes an adiabatic expansion or compression, the relationship between pressure (P), volume (V), and temperature (T) can be described by the adiabatic process equation:

P1​V1γ​=P2​V2γ​

Daily Life Examples

ExampleDescription
Compression of a Bicycle PumpRapidly compressing air in a bicycle pump by pushing down the handle, with minimal heat exchange during compression.
Sudden Expansion of a BalloonQuick release of air from a balloon, where the expansion of air is considered adiabatic due to the rapid release.
Rapidly Opening a Pressurized Soda BottleQuick opening of a pressurized soda bottle, with the release of carbon dioxide considered adiabatic due to rapid expansion.
Spraying a Pressurized CanUsing a can of compressed air, where the rapid release of the contents results in an adiabatic process with quick expansion.

Further Reading