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PS5 Solutions

# PS5 Solutions - MAE 105A Introducnon to Engineering...

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Unformatted text preview: MAE 105A . Introducnon to' Engineering Thermodynamics Winter 2008 "Problem 51‘15 . A feedwater heater in a vapor power plant operates at steady state with liquid entering at Inlet 1 with T1 3 40°C and p1 57.0 bar; Water-vapor at T2}: 2000C and p2: 7.0. bar enters at Inlet 2. Saturated liquid water exits with a pres5ure of p31: 7.0 bar, If.-heat losses a'nd Changes in kinetic and potential energy are negligible, determine the ratio of mass flow rates, it'll/Th2. ' [Problem 4.88 in, Moran & Shapiro] As shown-in- Fig. -P4.88, electronic components mounted on a flat plate are cooled by: convection-to tlie'53urround'ings and by liquid water circulating through a U- tube bonded to the plate. At steady state, water enters the tube at 20°C and a velocity of 0.4 1n/s and exits at 24°C with a negligible change in pressure The electrical components 1eeeive 0 5 kW of electrical power The rate of energy transfer by. convection from the plate- mounted electionics is estimated to be 0.08 kW. Kinetic and potential energy effects can be ignored. Determine the tube diameter in cm._ - . [Problem 4.102 in Moran & Shapiro] A simple steam power plant operates at steady state with water circulating through the components with a mass flow rate of 60 kg/s. Figure P4102 shows additional data at key points 'in the cycle. Stray heat transfer and kinetic and potential effects are negligible. Determine (a) the thermal efﬁciency and (h) the mass flow rate of cooling water through the condenser, in kg/s. ' [Modiﬁed Version 01111015111111 4,112 111 Moran & Shapiro] A well— insulated ligid tank of volume 10 m3 is connected to a large steam line through Which steam ﬂowS at 15 bar and 280°C. The tank is initially evacuated. Steam IS allowed to flow into the tank until the piessuie inside 13 p. Determine the amount of mass in the tank, in. kg, and the temperature in the tank, in °,C when p — 15 bar. [Modiﬁed Version of Problem 4.110 in Moran & Shapiro] The rigid tank illustiated in Fig. ' P4.110 has a volume of 0.06 m3 and initially contains a twouphase liquid- -vapor mixture of H20 at a pressure of 15 bar and a quality of 20%. As the tank contents are heated, a pressure—regulating valve keeps the pressure constant in the- tank by allowing saturated vap01 to escape. Neglecting kinetic and potential energy effects determine the total mass in the tank, in kg, and the amount of heat transfe1 in k1, if heating continues until the ﬁnal quality' is x= 0.5. [Modiﬁed VersiOn-of Problem4.l_19 in Moran &_ Shapiro} A well-insulated piston-cylinder assembly is connected by a' valve to- an air supply line at 8 bar, as shewn in Fig._P4.119. Initially, the air inside the cylinder is at 1 bar, 300 K, and the piston is located 0.5 m above the bottom of the cylinder. The atmospheric pressure is 1 bar, and the diameter of the piston face iS 0 3 1n. The valve 15 opened and air is admitted slowly until the volume of air inside the cylinder has doubled. The weight of the piston and the friction between the piston and- the cylinder wall can be ignored. Using the ideal gas model, determine the final temperature, in K, and- the f 11111 mass, in kg, of the ai1 inside the cylinder for supply temperatures of 300 K and 500 K. . Due Tuesday, Februaiy 12, 2008 (frath 1' ) ' Emu/n: ﬁn Open 'ftedwaalcr' Mal-Cr (Ji'rcd' Cowbcvf 111.3% Exclqiamgxrv) 'ofzeraks may shad? «543+: gnaw”;- Wm. 12%.,“ mm and mile} danda’h‘ons. W 03 ﬂaw? , , f": ?.obar Ejmd‘: Ta 1914 A4: my m2, high? magmas I455 gimg'ﬂmﬁ: ’ . Sag?" Maxi-€51 @ - - - [a Q11!) :0 WP v 2. MW v we M 3,AJPE=0 Piamobar Egg-Tho bar 4,. ”Eur-:0 Tabi-C A34: TabLi A‘s: 5. 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PS5 Solutions - MAE 105A Introducnon to Engineering...

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