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PS2 Solutions - MAE 105A Introduction to Engineering...

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Unformatted text preview: MAE 105A Introduction to Engineering Thermodynamics Winter 2008 - Problem Set 2 1. A closed system of mass 3 kg undergoes a process in which there is a heat transfer of 150 k] from the system to the surroundings. The work done on the system is 75 k]. If the initial specific internal energy of the system is 450 kJ/kg, what is the final specific internal energy, in kJ/kg? Neglect changes in kinetic and potential energy. 2. {Problem 2.56 in Moran & Shapiro] As shown in Fig. P256, 5 kg of steam contained within a piston—cylinder assembly undergoes an expansion from state 1, Where the specific internal energy is u1 = 2709.9 kJ/kg,t0. state 2, where a; = 2659.6 kJ/kg. During the process, there is heat transfer to the steam With magnitude or'so kJ. Also, a paddle wheel transfers energy to the steam by work in the amount of 18.5 kJ. There is no significant change in the kinetic or potential energy of the steam. Determine the energy transfer by work from'the steam to the piston during the process, in k]. 3. Air is contained in a rigid well—insulated tank with a volume of 0.6 mg. The tank is fitted with a paddle wheel that transfers energy to the air at a constant rate of 4 W for l h. The initial density of the air is 1.2 kg/m3. If no changes in kinetic or potential energy occur, determine (a) The specific volume at the final state, in mB/kg. (13) Energy transfer by work, in kJ. (c) Change in specific intemal energy of the air, in kJ/kg. 4. Determine the quality of a two-phase liquid—vapor mixture of (a) H20 at 100°C with a specific voiume of 0.8 m3/kg. (b) Refrigerant 134a at 0°C with a specific volume of 0.7721 cm3 / g. (c) Ammonia at -40°C-with a specific volume _of l m3/kg. (d) Refrigerant 22 at 1 MPa with a specific volume of 0.0054 m3/kg. 5. A closed vessel with a volume of 0.018 m3 contains 1.3 kg of Refrigerant 22 at 10 bar. Determine the temperature, in 0C, and the quality, x, of the R-22 if appropriate. 6. Five kg of H20 are contained in a closed rigid tank at an initial pressure of 20 bar and a quality of 50%. Heat transfer occurs until the tank contains Only saturated vapor. Determine the volume of the tank, in m3, and the final pressure, in bar. Due Tuesday, January 22, 2008 . E I i i i | . | I i Mm _Kiwwnm; F} 3/de Eyfik-m amdgrfiamcs é} prflceag 11m WAI'CJA 'ilfifii‘é 31W: Eéiy'flfil MELT" Mfié Work 1’P1f/‘fif‘394’1‘9mgfi i’r) 157L7'h’ g? V] r“ rial ~62, mrgfj i 5‘ hmcauin . Sawmafirc Evin-3% 037123;.” r ' __ . gm»: WMWMWWGM 2 :3 4(2- Q m _ [gamu- 1 l ‘“ Mmfiaaémgmwl—xw “ I, Qqam’e%mi/flaflmm frace33 MW L?” amSfi-J 1:5" ‘JaéE/n vi?) 1 be. (3 1?:5'7’13fihC1y/fnlder‘ W £3336.me167" (Md; £5 éeg 335142). m ‘3. a Karla 4‘ APE :- 0 APP 15:74. fig} 'fihfi 3357!” Law 07L 716* W? Jg/nfiamjcfi 7’29 ‘fic. Q12,” Mam-3"“ {M (fix?!) + % .4529 a,“ 4.53} “mg-51;: .3”; M . 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PS2 Solutions - MAE 105A Introduction to Engineering...

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