MAE 105A W08 PS 8 Solutions - MAE 105A Introduction to...

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Unformatted text preview: MAE 105A Introduction to Engineering Thermodynamics Winter 2008 Problem Set 8 Air initially at 14 bar and 60°C expands to a final pressure of 2.8 bar in an isothermal, internally reversible process. Determine the heat transfer and the work, each in k1 per kg of air. Sketch the processes on p—v and T—S diagrams. . Determine the final temperature in DC when air is expanded isentropically from 1000 kPa, 477°C to 100 kPa in a piston—cylinder assembly. (a) Assume that the specific heats CD and CV are constants. (1)) Assume that the specific heats Cp and CV are temperature dependent. (c) Comment on your results. [Problem 6.54 in Moran and Shapiro]. For the silicon chip of Example 2.5, determine the rate of entropy production, in kW/K. What is the cause of entropy production in this case? [Problem 6.57 in Moran and Shapiro]. An electric water heater having a 200 liter capacity employes an electric resistor to heat water from 23 to 55°C. The outer surface of the resistor remains at an average temperature of 80°C. Heat transfer from the outside of the water heater is negligible and the states of the resistor and the tank holding the water do not change significantly. Modeling the water as incompressible, determine the amount of entropy produced, in iii/K, for (a) the water as the system (b) the overall water heater including the resistor. Compare the results of parts (a) and (b), and discuss. . A large slab of concrete, 5 n1 X 8 m X 0.3 myis used as a thermal storage mass in a solar— heated house. If the slab cools overnight from 230C to 18°C in an 18°C house, what is the entropy generation associated with this process? . A rigid storage tank of 1.5 m3 contains 1 kg of argon at 30°C. Heat is then transferred to the argon from a furnace operating at 1300°C until the specific entropy of the argon has increased by 0.343 kJ/kg—K. Find the heat transfer and the entropy generation during this process. 'Due Tuesday, March 4, 2008 Know: Hiv 3+ known { Candi-Hons expands in a. mversiblz, [I'bo “Mermad fraCess. F1 m5: (Pm) wt; ) 2. Air“ Inhawes as an {dial 7,35. 5. 4. spar-o T—S cLLagurm/h air as 5 wn. AKE=O ‘Fu-v diagram, uni-Hal m R =3» “Hoar TL: co”c= 333K 51-341 2: P25" 2.8km- Tza 602-: 333K 5' RM mu“: I‘SDWW‘ Proms. W 2332! “1-45 {guah‘onfigy .Eh " 4—5. —- .- 2 "‘ “'2 ¥&P ,. c? T g 59%;; > 52 5, fl» .3 T... 1 .55 r T 51-5. =-R mfg-raw? fiafifi): +0.4qu L515 = 5,5, 3— 53 TC! 2 .2 _ = W (“ST )3n+rav @ S(? S b 3.5; T6513.) 333K(+ 0.4614) fig-K M1- whu‘cak is Eiua’ 1‘0 311, Sl‘M-CL... fig far-occur, 1‘3 3507‘?“ fig area umr “L F‘ VMAI. Furmrnwve‘, u- curvé mpresucfs flat/york. £33".- \J‘Jfi. = l54‘fl: M1. rm -- M “3 m _ Mi '1 4%" M = 5413 I. 7111- P—U‘ and 7-5 disarray”; are ‘P TA Shawn 51' 71.2. Nab-:13. l l 2‘ 2. mdvé-A‘nfh‘on o'F‘ en'h'b’pb, WAS 2 used +0 dvf-‘k-rmfne 3n. fin'ncaffl-L Procgss was Inkmalt NVdeibLe~ 7L2. ama Mada-1‘13. 715 czar-V: Mrmfiew‘b gig. 3, TR:— Fl‘rsf Law was 14.9%! 4v aalcula-lt ul '5. 4;- 5| 52.5 KMwm' Air expands l's4n‘t'mpi‘calha. in a Pis+on~cylrndcr asscmblg. Ea‘ncl: (ct) TS. far wnshmfi 6P Cv Cb) T" {a ‘H’. _+ ~d ‘ CC) CDmmu-L'l‘; on PtSLaLlJ'l‘S.) 2 r- 1 rd LLFe 4P8ncLCrL‘l' CF56") ‘Enaimufha Placid; 1- Closgrd *5 5km consis'h heal, a‘f‘ Hui. 34-31.: 1.. Birth Cylimékr. [an-[00011190. 2. mm tits: bbhavi or TI: 4+}¢C=mx 5_ Farffa : cmc‘, cons‘f‘an‘l‘s ‘ 4.. Isenhvpl‘c. Processfimb 51:5. $8121 5. Perth): CF: 1.095%) CV; 5.?16 fig FL: [DOEPQ 5' =15 Anafauguls: L 1 (0.) Using. 771.2239! Tafs sweat-fan; 735:: dh—N’dp J A _E_. 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