Understanding Work in Thermodynamics
In thermodynamics, work (W) is done by a system when it expands against an external pressure. The formula for work is:
* W = -PΔV
Where:
* W is the work done
* P is the external pressure
* ΔV is the change in volume
Applying the Formula
1. Atmospheric Pressure: We're given that the pressure is atmospheric pressure (P).
2. Change in Volume: The volume doubles, meaning the change in volume (ΔV) is equal to the initial volume (V).
Calculation
* W = -P * (V)
* W = -PV
Conclusion
The work done when the volume of a gas is doubled at atmospheric pressure is -PV, where P is the atmospheric pressure and V is the initial volume of the gas.
Important Points:
* Sign Convention: The negative sign indicates that work is done *by* the system (the gas) on its surroundings.
* Isobaric Process: This scenario describes an isobaric process, meaning the pressure remains constant.
* Ideal Gas Assumption: This calculation assumes the gas behaves ideally. Real gases may have deviations from this behavior.
