A horizontal insulated cylinder has a frictionless piston held against stops by an external force of 500 kN, as shown in Fig. P7.173. 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. Use constant heat capacity to verify that the final temperature is 645 K, and find the total entropy generation.

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Ar line Fext Ar FIGURE P7.173