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I'm going through my notes and there was a line of reasoning of equations: w=FD; since F=PA then w=(PA)D=PΔV. I'm assuming that F represents force, D represents distance, and that A represents area, but I'm not too sure. The others I'm clear on. Can someone verify this for me? Thanks!
Those are right! Also in the last step, AD turns into deltV (change in volume) because it is referring to area x distance (height). Page 263 of the textbook has diagrams that demonstrate this series of equations.
You are correct. F is force, A is area, D is distance. Interestingly Force can be defined as pressure over an area (F = P * A) and when that is put into the work equation (w = F * D), it becomes F = P * A * D. Then, A * D can simplify to ΔV because it represents the difference in volume before and after the work done (we can focus on the before and after volumes because work is a state function).
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