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# Binder3 - Assignment 3 D13 An insulated tank is divided...

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Unformatted text preview: Assignment 3 D13 An insulated tank is divided into two parts by a partition. One part of the tank contains 2.5 kg of compressed liquid water at 60°C and 600 kPa while the other part is evacuated. The partition is now removed, and the water expands to ﬁll the entire tank. Determine the ﬁnal temperature of the water and the volume of the tank for a ﬁnal pressure of 10 kPa. D14 A piston-cylinder device initially contains steam at 200 kPa, 200°C, and 0.5 m’. At this state, a linear spring (F a x) 15 touching the piston but exerts no force on it. Heat is now slowly transferred to the steam, causing the pressure and the volume to rise to 500 kPa and 0.6 m’, respectively. Show the process on a P-v diagram with respect to saturation lines and determine (a) the ﬁnal temperature, (b) the work done by the steam, and (c) the total heat transferred. Answers: (a) 1131°c, (b) 35 1d, (c) 807 kJ D15 A piston-cylinder device initially contains 0.5 m’ of saturated water vapor at 200 kPa. At this state, the piston is resting on a set of st0ps, and the mass of the piston is such that a pressure of 300 kPa is required to move it. Heat is now slowly transferred to the steam until the volume doubles. Show the process on a P-v diagram with respect to saturation lines and determine (a) the ﬁnal temperature, (b) the work done during this process, and (c) the total heat transfer. Answers: (a) 878.9°C, (b) 150 k], (c) 875 kJ. D16 A rigid tank contains 20 lbm of air at 50 psia and 80°F. The air is now heated until its pressure doubles. Determine (a) the volume of the tank and (b) the amount of heat transfer. Answers: (a) so 11*, (b) 1898 Btu. D17 A 3-m’ rigid tank contains hydrogen at 250 kPa and 500 K. The gas is now cooled until its temperature drops to 300 K. Determine (a) the ﬁnal pressure in the tank and (b) the amount of heat transfer. D18 A 4-m X S-m X 7-m room is heated by the radiator of a steam-heating system. The steam radiator transfers heat at a rate of 10,000 kJ/h, and a lOO-W fan is used to distribute the warm air in the room. The rate of heat loss from the room is estimated to be about 5000 kJ/h. If the initial temperature of the room air is 10°C, determine how long it will take for the air temperature to rise to 20°C. Assume constant speciﬁc heats at room temperature. D19 A piston-cylinder device whose piston is resting on top of a set of stops initially contains 0.5 kg of helium gas at 100 kPa and 25°C. The mass of the piston is such that 500 kPa of pressure is required to raise it. How much heat must be transferred to the helium before the piston starts rising? Answer: 1857 k]. D20 A mass of 15 kg of air in a piston-cylinder device is heated ﬁom 25 to 77°C by passing current through a resistance heater inside the cylinder. The pressure inside the cylinder is held constant at 300 kPa during the process, and a heat loss of 60 kJ occurs. Determine the electric energy supplied, in kWh. Answer: 0.235 kWh. D21 Stainless steel ball bearings (p = 8085 kg/m’ and Cp = 0.480 kJ/kg ‘ °C) having a diameter of [.2 cm are to be quenched in water at a rate of 1400 per minute. The balls leave the oven at a temperature of 900°C and are exposed to air at 30°C for a while before they are dropped into the water. If the temperature of the balls drops to 850°C prior to quenching, determine the rate of heat transfer ﬁom the balls to the air. %; College of Engineering ﬂui— UNIVERSITY 14‘ ARKANSAS GIVEN <’ I’m/MU ﬁnk Jam/M ﬁrm a 7 " 1M! (IA/'51 #2“ I7) -‘- :2. §£rr ﬁaxﬁ’J‘I-Q n “ (om/2.1,; ”16‘6de [2.2: Xi? 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