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## Homework Statement

In a steam engine the pressure and volume of steam satisfy the equation PV

^{1.4}=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/in

^{2}and a volume of 400in

^{3}and expands to a volume of 1100in

^{3}.

## Homework Equations

Use the fact that the work done by the gas when the volume expands from volume v

_{1}to volume v

_{2}is:

W=∫

^{V2}

_{v1}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/in

^{2}and volume of 400in

^{3}I get a k=439,424.2

That # seems way high. Is the problem assuming the pressure is starting at these values (100lb/in

^{2}and 400in

^{3})??

Thanks