A weighted piston maintains the pressure of a piston cylinder at 200 psia. Initially the system contains no mass. A valve connected to the piston cylinder is now opened allowing steam from a supply line to flow into the cylinder until the cylinder volume is 10 ft^3. The process is adiabatic and the steam in the supply line remains constant at 300 psia and 450 deg F. Determine the total work produced as the piston cylinder is filled. Requires an iterative solution to fix the final state.