A gas is contained in a vertical piston-cylinder arrangement. The 50-lbm piston initially rests on the bottom stops. upon the addition of heat, the piston slowly rises until it touches the upper stops. The initial pressure is P1=patm=14.7 lbf/in^2. The Piston cross section is 0.05 ft^2. When the Piston is at the bottom bottom stops it rests 0.75 ft above the base of the cylinder. The top stops are located 0.3 ft above the bottom stops. Assume a quasi-equilibrium process, and neglect the volume of the stops. Determine the following: a) The gas pressure (lbf/in^2) when the piston will just lift off the bottom stops b) the work (ft.lbf) for the process.