Solution: When gas expands in a cylinder with radius , the pressure at any given time is

Chapter 6, Problem 25

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When gas expands in a cylinder with radius , the pressure at any given time is a function of the volume: . The force exerted by the gas on the piston (see the gure) is the product of the pressure and the area: . Show that the work done by the gas when the volume expands from volume to volume isW yV2 V1 P dV

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