Three lbm of a substance is made to undergo a reversible expansion process within a piston-cylinder device, starting from an initial pressure of 100 psia and an initial volume of 2.00 ft^3. The final volume is 4.00 ft^3. Determine the moving boundary work produced by this expansion for each of the following process paths. Note which process produces the maximum work and which produces the minimum.
a. Pressure remains constant (p = K)
b. Pressure times volume remains constant (pV = K)
c. Pressure is proportional to volume (p = KV)
d. Pressure is proportional to the square of volume (p = KV2)
e. Pressure is proportional to the square root of volume (p=KV),