Solve the following problem:
Q: A horizontal, insulated cylinder has a frictionless piston held against stops by an external force of 500 kN. The piston cross-sectional area is 0.5 m2, and the initial volume is 0.25 m3. Argon gas in the cylinder is at 200 kPa, 100?C. A valve is now opened to a line flowing argon at 1.2 MPa, 200?C, and gas flows in until the cylinder pressure just balances the external force, at which point the valve is closed. The external force is now slowly reduced so the gas expands moving the piston to a final pressure of 100 kPa. Find the final temperature of the argon and the work done during the overall process.