A horizontal cylinder is separated into two compartments by an adiabatic, frictionless piston. One side contains 0.2 m3 of nitrogen and the other side contains 0.1 kg of helium, both initially at 20°C and 95 kPa. The sides of the cylinder and the helium end are insulated. Now heat is added to the nitrogen side from a reservoir at 500°C until the pressure of the helium rises to 120 kPa. Determine (a) the final temperature of the helium,
(b) the final volume of the nitrogen,
(c) the heat transferred to the nitrogen, and
(d) the entropy generation during this process.

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2 N2 0.2 m3 He 0.1 kg