A rigid insulated vessel contains3 kg argon initially at3 bar and27°C. A paddle wheel supplies0.015 kW for30 min. With cv=0.3122 kJ/(kg K), find final temperature in K (one decimal).
Insulation gives Q=0 and rigidity gives no boundary work. Paddle work raises internal energy by0.015×1800=27 kJ. Thus ΔT=27/[3(0.3122)]=28.83 K. Using the exam’s27°C≈300 K convention gives final328.8 K (329.0 K with273.15 conversion), within the official range.
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