Multiple-Choice Problems Tutorial: Energy Analysis of Closed Systems 1. A 1.2-m3 rigid tank contains nitrogen gas at 200 kPa and 350 K. Now heat is transferred to the nitrogen in the tank and the pressure of nitrogen rises to 900 kPa. The work done during this process is (a) 840 kJ (b) 0 kJ (c) 156 kJ (d) 240 kJ (e) 1080 kJ Answer (b) 0 kJ 2. An 8-L cylinder contains air at 300 kPa and 300 K. Now air is compressed isothermally to a volume of 2 L. The work done on air during this compression process is (a) 119 kJ (b) 1.8 kJ (c) 3.3 kJ (d) 4.5 kJ (e) 0 kJ Answer (c) 3.3 kJ 3. Air in a piston-cylinder device is compressed from 25C and 100 kPa to 500 kPa during a polytropic process for which Pv1.3 = constant. The air temperature after compression is (a) 33C (b) 156C (c) 1207C (d) 115C (e) 182C Answer (b) 156C 4. A well-sealed room contains 90 kg of air at 1 atm and 20C. Now a 1-kW electric heater and a 200-W fan are turned on. If heat transfer through the walls is negligible, the air temperature in the room in 15 min will be (a) 36.7C (b) 31.9C (c) 33.9C (d) 20.3C (e) 49.5C Answer (a) 36.7C 5. An air-tight room contains 80 kg of air, and a 2-kW baseboard electric resistance heater in the room is turned on and kept on for 15 min. The temperature rise of air at the end of 15 min is (a) 22.4C (b) 31.3C (c) 0.52C (d) 13.4C (e) 42.8C Answer (b) 31.3C 6. A room contains 25 kg of air at 100 kPa and 10C. The room has a 250-W refrigerator (the refrigerator consumes 250 W of electricity when running) and 1-kW electric resistance heater. During a cold winter day, it is observed that both the refrigerator and the resistance heater are running continuously but the air temperature in the room remains constant. The rate of heat loss from the room during that day is (a) 3600 kJ/h (b) 2700 kJ/h Answer (c) 4500 kJ/h (c) 4500 kJ/h (d) 1000 kJ/h (e) 1250 kJ/h 7. A piston-cylinder device contains 3 kg of air at 300 kPa and 25C. During a quasi-equilibrium isothermal expansion process, 20 kJ of boundary work is done by the system, and 8 kJ of paddle-wheel work is done on the system. The heat transfer during this process is (a) 28 kJ (b) 20 kJ (c) 36 kJ (d) 12 kJ (e) 4 kJ Answer (d) 12 kJ 8. A 1-kW electric resistance heater submerged in 10-kg water is turned on and kept on for 15 min. During the process, 400 kJ of heat is lost from the water. The temperature rise of water is (a) 21.5C (b) 12.0C (c) 31.1C (d) 50.0C (e) 8.8C " Answer (b) 12.0C 9. Eggs with a mass of 0.12 kg per egg and a specific heat of 3.32 kJ/kg.C are cooled from 30C to 10C at a rate of 800 eggs per minute. The rate of heat removal from the eggs is (a) 8.0 kW (b) 53 kW (c) 478 kW (d) 106 kW (e) 159 kW Answer (d) 106 kW 10. An orange with an average mass of 0.20 kg and average specific heat of 3.70 kJ/kg.C is cooled from 20C to 5C. The amount of heat transferred from the orange is (a) 7.4 kJ Answer (e) 11.1 kJ (b) 24.8 kJ (c) 18.5 kJ (d) 55.5 kJ (e) 11.1 kJ