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 y the gas on the piston is the product of the pressure and the area: F= ²P. One can then show that the work done by the gas hen the volume expands from volume V₂ to volume V₂ is W = √₂²³² PdV a steam engine the pressure P and volume V of steam satisfy the equation PV14 - k, where k is a constant. (This is true for diabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Use the information iven above to calculate the work done (in ft-lb) by the engine during a cycle when the steam starts at a pressure of 160 lb/in² and a olume of 100 in³ and expands to a volume of 800 in ³.

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 y the gas on the piston is the product of the pressure and the area: F= ²P. One can then show that the work done by the gas hen the volume expands from volume V₂ to volume V₂ is W = √₂²³² PdV a steam engine the pressure P and volume V of steam satisfy the equation PV14 - k, where k is a constant. (This is true for diabatic expansion, that is, expansion in which there is no heat transfer between the cylinder and its surroundings.) Use the information iven above to calculate the work done (in ft-lb) by the engine during a cycle when the steam starts at a pressure of 160 lb/in² and a olume of 100 in³ and expands to a volume of 800 in ³.