In a steam engine the pressure and volume of steam satisfy the equation PV1.4=k, where k is a constant. Calculate the work done by the engine (in ft/lbs) during a cycle when the steam starts at a pressure of 100 lb/in2 and a volume of 400in3 and expands to a volume of 1100in3.
Use the fact that the work done by the gas when the volume expands from volume v1 to volume v2 is:
W=∫V2v1 P dV
The Attempt at a Solution
As usual, getting hung up on where to start. So I tried to find k. Solving for k at the starting pressure of 100lb/in2 and volume of 400in3 I get a k=439,424.2
That # seems way high. Is the problem assuming the pressure is starting at these values (100lb/in2 and 400in3)??