Why is Pressure Volume Work called P*delta V

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SUMMARY

Pressure Volume Work is defined as P * delta V, where P represents constant pressure while the volume (V) changes. This expression is derived from the relationship between force, area, and distance, where pressure (P) is the force per unit area. In scenarios where pressure changes alongside volume, work cannot be performed without a corresponding volume change. A practical example of this concept is observed in hydraulic or pneumatic pistons.

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sp3sp2sp
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Why isn't it called deltaP *delta V work? Or deltaP*V work?
Does the expression mean that P is constant while V changes and also what is an example of that?
thanks for any help
 
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sp3sp2sp said:
Why isn't it called deltaP *delta V work? Or deltaP*V work?
Does the expression mean that P is constant while V changes...
Yes. There are scenarios where pressure can change along with volume, but you can't have work done with a pressure change and no volume change.
...and also what is an example of that?
A hydraulic or pneumatic piston.
 
To the OP @sp3sp2sp You should realize that work is force times distance. In this case pressure is force per unit area, ## P=\frac{F}{A} ##, and the volume change is the area times ## d x ##, i.e. ## dV=A \, d x ##. The area cancels, and we get ## dW=P \, dV= F \, d x ##.
 

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