Sample Exam 3 (C) Solutions

Sample Exam 3 (C) Solutions - EML 3100 — Exam 3 — Fall...

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Unformatted text preview: EML 3100 — Exam 3 — Fall 2012 Friday: November 30 Problem 1 120 points): Consider the ideal, steady-state gas-refi'igeration cycle shown in the schematic below. The working fluid is helium and the following operating conditions are known; Use properties for helium at STP and assume that the specific heats are constants. T] = -125 °C, T2 = 275 °C, 7‘; = 50 °C, T4 = —185 °C, PQ/P] = 26, TL: 175 K, TH: 300K “hi 7LT “M 2 (A) Complete the vertical axis of the phase diagram provided by labeling the mean effective temperatures, T; and T13, the min. and max. process temperatures, TL and TH, and the reservoir temperatures, TL and TH. (B) Calculate the mean effective process temperature, TL" . ‘ II l 1 LCD M~las+a7say a {33—} 37345 Problem 2 (20 gointsz: An ideal turbojet engine With an afterburner is shown in the schematic below. Assume the air-standard model holds and the engine operates in steady-state with the following conditions. T2=605K, T3=1200K, T4l,.=896K, T4b=1600 K, ]}=1367K, k = 9/7, FHV= 43,000 kJ/kg-fiiel QHI OH = 0H1 + 0H2 = nix-FHV (A) Calculate the effective average specific heat, cp, for the air in the engine. (B) Calculate the air-to—filel ratio, AF. (C) Calculate the jet velocity V}. 6) ‘ LUQ (9/7IOQX7 lid/a3“) CP 3 w 1 W k~l ' q/7* l ‘ @ Hm New We“) 50 - A}: 1”— a W 09034;: Jr’ntb‘rm) @9445? UN ‘ 6655M“ ‘ 3%) K k~oflr® __ 3'M . .. 5 Problem 3 [20 points): A fossil-fueled steam power plant operates on the basic Rankine cycle shown in the schematic. The following operating conditions are known. P] =10 kPa, v] = 0.001010 m3/kg, P2 = 15000 kPa, h; = 3308.5 kJ/kg, _ Izp=75 %, m=85 % GD 63) (:9 0” Determine P4, 343, and the net work produced per unit mass of steam Wm. @ \Vms ’W 5% ~ 5% M3,)ollgl CD 63‘“; \(tha v a : ___,__,__.——————a MS“ W 53 I S€ 353q_e3 -I%18( 8-150! twee W6 “’7' ‘WP “M %T : a; “’f’ 30 _ was wand A (‘17- LJ73 ‘ ‘77]: o F G) i” l 6‘ (A) (69 _C_ § g @ Problem 4 120 points): Consider the ideal, steady—state Brayton cycle with reheat shown in the schematic below. The air—standard model holds and the following operating conditions are known. P1=100kPa, T1=3OOK,P2=900kPa, T3=1100K, T4=750K, T6=1100K, k=4/3 Determine T2 and Ta _C7g I: T: i?) , - aw 1’73 To; — @GD VOL!“ > ‘ “T01; €101-97 K i e» ‘D ' 1" ® ’6‘ Th l P >9 ~ — - w 1 P4 71/ 4/3 ‘ “V34 Hog? : [Oh be? ) (P6 q) i793 R: Wag-7 Moat 69 T: 5mg keg Problem 5 (20 points): For each of the systems below (1) identify the base cycle from the given list, (2) identify any relevant cycle modifiers (choose all that apply), and (3) identify the labeled devices from the given list. _ DeVIces: Burner Compressor Condenser Evaporator lntercooler Turbine Pump Regenerator Steam Generator Valve Base Cycles: Brayton Cycle Diesel Cycle Gas Refrigeration Cycl- (1) Base Cycle: Vgfi- 4' ‘ all that apply: Otto Cycle Rankine Cycle Vapor Compression Cycle (1) Base Cycle: Rgflkwe (2) Circle all that apl : we; A. HDEM § B. EVAPOfiA/TD K C- M D. [Put/VIP E. COMDWSEK F. NTERCOGLER ‘G. TuflEnME (1) Base Cycle: Gns Qseeigggtw (2) Circle all that apply: 7 Intercooling Reheat H. KEEN: ng (1) Base Cycle: BmYWN’ V (2) Circle all that apply: Intercooling‘ Reheat ' ...
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