Problem 29E

When gas expands in a cylinder with radius r, the pressure at any given time is a function of the volume: P=P(V). The force exerted by the gas on the piston see the figure is the product of the pressure and the area: F=r2P. Show that the work done by the gas when the volume expands from volume V1 to volume V2 is W=V1V2PdV

Step-by-Step Solution