Exam 1 Solutions - Introduction To Thermodynamics | ENGI 2334, Exams of Thermodynamics

Download Exam 1 Solutions - Introduction To Thermodynamics | ENGI 2334 and more Exams Thermodynamics in PDF only on Docsity! Joel Huber ao From: Sent: To: Subject: Attachments: Hi All Nikhila Mahadevapuram <nmahadevapuram2@uh.edu> Monday, October 14, 2013 1:51 PM H_20133_ENGI_2334_11716 (2013FA-11716-ENGI2334-Introduction To Thermodynamics) : H_20133_ENGI_2334_11716 (2013FA-11716-ENGI2334-Introduction To Thermodynamics): EXAM 1 - Grade Exam1L.pdf Grades for Exam 1 are uploaded on Black board. Class average i have attached the histogram for the class performance. Best Nikki No. of Students 25 20 15 Y, tj; 10 Y y Ld LL 7 Yi WM tif Vy 0 20 40 60 80 CHEE 2334: Introduction to Thermodynamics Fall 2013, Exam 1 Name (Print) | Ucvoe People soft # womyyyiiiity_ Exam Format: 4 problems, 80 pts total. Extra credit: 1 problem, 10 pts total No cell phones. Do NOT write on the back of the page. Extra paper is included in the packet. Show all work to receive full or partial credit. Clearly explain any assumptions/approximations. Put a box around your final answer (for calculations). Include units where appropriate. Your work must be legible! !!! Return the formula sheet along with exam booklet with name and people soft # IT vemos vec) blank ges Nz o » At Problem 2: 20 pts. no AT ) An ideal gas goes through an expansion process in\hich the volume triples. Which process will lead to the larger work output: An isothermal process or a polytropic process with n= 1.77 What percentage more work is done by that process? C-=PA Stare 4 [ State om Sw = Fely p - Ow = Phady | fae Sw * Pay VY zy Vy -2y WwW, = 5” pay / Problem 3: 20 pts. A nozzle receives an ideal gas flow with a velocity of 50 mis fen exit is at 100 kPa, 400 K with a velocity of 350 m/s, Determine the inlet temperature if the gas is argon, eth hydrogen or oxygen. State all assumptions. Soe Ste phenol. ~ Ve ss0"s ex wena Vv, 250 "s * No AQ “4 (a | T= 4ookk aiuae y _: ne @ _ <reh Crete og os oo re too ——— | Ar iv 8 25207, = ~ 59 (ua) *oQexe? / \ d Teno | US; 7BL ) go 2 Hea 400) # cose | ooo | = 4622.4 } | ee — os 27, 2 TAR (Ge) + 68. LO \ Oryge™ e127, > +l — | \ i \ 12 6S 4IS K | \ I 7 hl? \ 6 a J Problem 4: 20 pts. Find the missing property: v = specific volume (m’/kg), P = Pressure, u = specific intemal energy. a) NH; at 30°C, v=0.1 m’/kg, P =?, u=? , -b) HyO at 175°C, v=2, P=?, w= 2100 ki/kg Hy) — fa Dore phase f c) H2O at 200 kPa, 150°C, v2, u=? “* | y= Ws" < 7 Nig — Dn Rome -2 phase | i aoe, | Wz 2IOO Key Te Cc | — v2 | Mis | vee | a ak (Pa neT er.) [CR S92 Ae) Se as (2307 Kya ju ‘Aus = WatX Ue Vag? VE * VS | acs = THOM, + xX 1342.08 Ava, ol nF[ks * 00180 + X(1OBS) ) Quality X= IO4% SY / _ksj,| wz (Baowe J) + JOU (10164 ies) 2, coil | CRI 2/588 ) = 7 RF | [Xero Peg | | fri =teor=) © HO ~ ae heateoh 7 P= oc kee  © APPENDIX A Si UNITS: SINGLE-STATE PROPERTIES -++---++ TABLE AS Properties of Various Ideal Gases at 25°C, 100 kPa* (SI Units) Chemical Molecular R p Ce Cv é Gas Formula Mass (ke/kmol) = (kJ/kg-K) (kg/m?) (K/cg-K) ——(kuJ/kg-K) ke = Steam H,0 18.015 0.4615 0.0231 1.872 1.410 1.327 Acetylene CiHy 26.038 0.3193 10s 1.699 1,380 1231 Air _ 28.97 0.287 1.169 1,004 0.717 1.400 Ammonia NHy 17.031 0.4882 0.694 2.130 1,642 1.297 Argon Ar 39.948 0.2081 1.613 0.520 (Ou2) 1,667 Butane ~ CaHio 58.124 0.1430 2.407 L716 1.573 1.091 | Carbon dioxide CO; 4401 0.1889 1.775 0.842 0.653 1.289 Carbon monoxide CO 28.01 0.2968 113 1.041 0.744 1.399 Ethane CrHy 30.07 0.2765 1.222 1.766 1.490 1.186 Ethanol C.H;OH 46.069 0.180S 1.883 1.427 1.246 1.145 | Ethylene CaHy 28.054 0.2964 113d 1.548 1.252 1.237 Heliura He 4.003 2.0771 0.1618 5.193 3.16 1.667 1 Hydrogen Hy 2.016 4.1243 0.0813 14.209 0.085 1.409 | Methane CHa 16.043 0.5183 0.648 2254736 1.299 Methanol CHjOH 32042 0.2595 131 1.405 1.146 1.227 Neon f Ne » > 20.183 0.4120 0.814 1.03 0.618 1.667 Nitric oxide NO 30.006 02771 1.21 0.993 0,716 1.3877 Nitrogen Na 28.013 0.2968 113 1.042 0.745 1.400 Nitrous oxide N20 44013 0.1889 1.775 0.879 1.274 n-Octane CH 114,23 0.07279 0.092 wu 1.044 Oxygen Q, 31.999 0.2598 1.292 0.922 662 1.393 Propane Cie 44.094 0.1886, 1.808 1.679 1.490 1.126 R-12 CChr; 120.914 0.06876 4.98 0.616 0.547 ~ 1.126 R-22 CHCIF; 36.469 0.09616 3.54 0.658 0.562 LA71 R-32 CF2H) 52.024 0.1598 2.125 0.822 0.662 1.242 R-125 CHF,CF,; — 120.022 0.06927 4.918 0.791 0.722 1.097 R-13da CF;CH;F — 102.03 0.08149 4.20 0.852 0.771 1.106 | R-410a - . 72.585 0.11455 2.967 0.809 0.694 1.165 Sulfur dioxide SO, 64.059 0.1298 2.618 0.624 0.494 1.263 Sulfur trioxide 80; 80.053 0.10386 3.272 0.635 0.531 1.196 “Or saturation pressure if itis less than 100 kPa. i : BE pe sete “APPENDIX D EQUATIONS OF one soeteenee T SIMPLE FLUID Zc = 0.2901 Compressibility factor, Z 0.01 Ou 1 10 Reduced pressure, P, FIGURE D.1 Lee~Kesler simple fluid compressibility factor.  pts APPENDIX D EQUATIONS OF STATE «++ TASLE D.2 The Lee-Kesler Equation of State The Lee-Kesler generalized equation of state is ah Dad+2 in which Leaks ain The set of constants is as follows: Constant Simple Flulds Cansrant Simple Fluids by 0.118 1193 C3 0.0 by 0.265 728 cy 0.042 724 by 0.154 790 dy x 10* 0.155 488 ba 0,030 323 dy x 10 0,623 689 ef 0.023 6744 B 0.653 92 o 0.018 6984 y 0.060 167 TABLE D.3 Saturated Liquid~Fapor Compressibilities, Lee~Kesler Simple Fluid Tr 0.40 0.50 0.60 0.70 0.30, 0.85 0.90 0.95 1 P, sat 2.764 4.6E-3 0.028 0.099 0.252 0.373 0.532 0.737 1 Z 6.5E-5 9.SE-4 0.0052 0.017 0,042. 0.062 0.090 9132 0.29 Z, 0,999 0.988 0.987 0.897 0.807. 0.747 0.673 0.569 0.29 TABLE D.4 Acentrie Factor far Some Substances Substance w Substance w Ammonia NH; 0.25 Water H:0 0.344 Argon Ar 0.001 a-Butane CyHia 0.199 Bromine Bry 0.108 Ethane Cie 0.099 Helium He —0.365 Methane CHy 0.011 Neon Ne ~0.029 R-32 CF Ha 0.277 Nitrogen Na 0.039 | R-125 CHF2CFs 0.305  TABLE B.1.3 Superheated Vapor Water . @ APPENDIX B SIUNITS: THERMODYNAMIC TABLES **t+1sese-s-ressesereseee Temp. v a A s v 4 A s co (m'/kg) (kJ/kg) (kJ/kg) (kJ /kg-K) (m/kg) (kJ/kg) (k/kg) (kJ/kg-K) P = 10 kPa (45.81°C) P= 50 kPa (81.33°C) Sat. 1467355 2437.89 (2584.63 8.1501 3.24034 2483.85 2645.87 7.5939 30 1486920 2443.87 2592.56 8.1749 - - — - 100 1719561 2515.50 2687.46 8.4479 3.41833 2511.61 2682.52 7.6947 150 1951251 2587.86 =—-2782.99- 8.6881 3.88937 2585.61. 2780.08 7.9400 200 21.82507 2661.27 2879.52 8.9037 4.35895 2659.85° 2877.64 8.1579 250 2413559 2735.95 2977.31 9.1002 4.82045 2734.97 2975.99 8.3555 300 2644808 2812.06 3076.51 9.2812 5.28391 2811.33 3075.52 8.5372 400 3106252 2968.89 = 3279.51 9.6076 6.20929 2968.43. «3278.89 8.8641 500 39.67896 © 3132.26 © 3489.05 9.3977 7.13364 3131.94 3488.62 9.1845 600 4029488 © 3302.45 «370540 ~——10,1608 8.05748 3302.22 3705.10 9.477 700 4491052 3479.63 «3928.73 10.4028 8.98104 3479.45 «3928.51, 9.6599. 800 4952599 3663.84 «4159.10 10,6281 9.90444 3663.70 4158.92 9.8852 900 5414137 3855.03 4396.44 10.8395 10.82773 385491 = 4396.30 10.0967 1000 58.75669 4053.01 4640.58 «11.0392 11.75097 4052.91 4640.46 10.2964 1100 6337198 4257.47 4891.19 11.2287 (2.67418 425737 4891.08 10.4858 1200 6798724 4467.91. 5147.78 11,4090 13.59737 4467.82 5147.69. 10,6662 1300 72.60250 4683.68 += 5409.70 14.5810. 1452054 4683.58 5409.61 10,8382 100 kPa (99,62°C) 200 kPa (120.23°C) Sat. 1.69400 2506.06 2675.46 7.3593 0.88573 2529.49 2706.63 7.1271 150 1.93636 2582.75 2776.38 72.6133 0.95964 23 S3_2768.80 1.2195 200‘ (217226 = 2658.05 2875.27 7.8342 1.08034 2870.46 7.5066 250 2.40606 = «2733.73. 2974.33. «8.0332. i9e8o © 2731.22 ° 7.1085" 300 2.63876 = 2810.41. «3074.28 = 8.2157 1.31616 2808.55 3071.79 7.8926 400 3.10263 2967.85 3278.11 8.5434 1.54930 2966.69 -3276.55 8.2217 $00 3.56547. 3131.54 = 3488.09 8.8341 1.78139 3130.75 -3487.03 8.5132 600 4.02781 3301.94 3704.72 9.0975 2.01297 3301.36 = 3703.96 8.7769 700 4.48986 = 3479.24 «3928.23 9.3398 2.24426 © 3478.81 3927.66 9.0194 300 495174 3663.53 4158.71 9.5652 2.47539. 3663.19 4158.27 9.2450 900 5.41353 3884.77 4396.12 9.7767 2.70643 3854.49 4395.77 9.4565 1000 5.87526 4052.78 4640.31 9.9764 2.93740 4052.53 4640.01 9.6563 1100 6.33696 4257.25 4890.95 10.1658 3.16834 4257.01 4890.68 9.8458 1200 6.79863 4467.70 «5147.56 10.3462 3.39927 4467.46 © 5147.32 10.0262 1300 7.26030 4683.47 © 5409.49 10,5182 3.63018 4683.23 5409.26 10.1982 300 kPa (133.55°C) 400 kPa (143.63°C) Sat. 0.60582 © -2543.55 2725.30 6.9918 0.46246 = «-2593.55 2738.53 6.8958 150 0.63388 «=—-2570.79 2760.95 1.0778 0.47084 «2564.48 «(2752.82 6.9299 200 0.71629 2650.65 (2865.54 73115 0.53422 2646.83 2860.51 7.1706  Bree B_ SIUNITS: THERMODYNAMIC TABLES «++ TABLE B.1.5, Saturated Solid-Saturated Vapor, Water 1.010878: 0.010874 —22 0.08535 0.0010871 1357.863 —24 0.07012 0.0010868 1639,752 -26 0.05741 0.0010864 1986775 d.001086r 68353 2414,200% d.0010858 ' Specific Volume, m'/kg Internal Energy, ki/kg Temp. Press. Sat. Solid Evap. Sat. Vapor Sat. Solid Evap. Sat. Vapor eo (kPa) ” Vg Ye uy Mig My 0.01 0.6113 0.010908 206.152 206.153 —333.40 2708.7 2375.3 0 0.6108 0.0010908 206.314 206.315 333.42 2708.7 2375.3 -2 0.5177 0.010905 241.662 241,663 -337.61 2710.2 2372.5 4 0.4376 0.010908 ©." 283.798." 283.799- 2 < 341.78" 27S 2369.8 -6 0.3689 | o.0o10g98, |; 334138. 334139 34s 1 279 23670 “ ,0,0010894 "394.413. 394.414 —356.02° 2714.2 2364.2 0.0010891 466.756 466,757 —354.09 2715.5 2361.4 0.010888 553,802 593.803 — 358.14 2716.8 2358.7 0.0010884 658,824 658.824 —362.16 2718.0 2355.9 ieites iS oot ; 940,183, 1128.13 1357.864 1639,753 1986.776 * 0.00108S4" ©." 3601.82" gq. 2330.8" 0.0010851 4416.252 4416253 2728.7 2328.0 0.02016 0.0010848 5430.115 5430.116 2729.6 2325.2 —38 0.01618 0.0010844 6707.021 6707.022 2730.5 2322.4 W407 0.01286" 0.010841" 8366.398: °', 9366.396 °° QB 196 2719.2! 2721. 2722.7 2724.7 2342.0 2724.8 2339.2 2 272. Fe oT  . ® APPENDIX B Si UNITS: THERMODYNAMIC TABLES TABLE B.2 Thermtadynamic Properties of Ammonia TABLE 8.2.1 Saturated Ammonia Specific Volume, m'/kg Internal Energy, kJ/kg Temp. Press. Sat. Liquid Evap. Sat. Vapor Sat. Liquid Evap. Sat. Vapor («Cy (kPa) vy Yy¢p My uy an ay ~50 40.9 0.001424 2.62557 2.62700 —43.82 1309.1 1265.2 ~45 54.5 0.001437 2.00489 2.00632 ~22.01 1293.5 1271.4 —40 77 0.001450 15511 1.55256 0.10 1277.6 1277.4 -35 93.2 0.001463 1.21466 1.21613 21.93 1261.3 1283.3 -30 119.5 0.001476 0,96192 0.96339 44,08 1244.8 1288.9 -25 151.6 0,001490 0.76970 0.77119 66,36 1227.9 1294.3 ~20 190.2 0.001504 0.62184 0.62334 88,76 1210.7 1299.5 -15 236.3 0.001519 0.50686 0.50838 111.30 1193.2 1304.5 —10 290.9 0.001534 0.41655 0.41808 133.96 1175.2 1309.2 -5 354.9 0.001550 0.34493, 0.34648 156.76 1157.0 1313.7 0 429.6 0.001566 0.28763 0.28920 179.69 1138.3 1318.0 5 515.9 0.001583 0.24140 0.24299 202.77 1119.2 1322.0 10 615.2 0.001600 0.20381 0.20541 225.99 1099.7 1325.7 15 728.6 0.001619 0.17300 0.17462 249.36 1079.7 1329.1 20 857.5 0.001638 0.14758 0.14922 272.89 1059.3 1332.2 25 1003.2 0.001658 0.12647 0.12813 296.59 1038.4 1335.0 30 1167.0 0.001680 0.10881 0.11049 320.46 _ 1016.9 1337.4 38 1350.4 0.001702 0.09397 0.09567 144,50 994.9 1339.4 40 1584.9 0.001725 0.08141 0.08313 368.74 972.2 1341.0 45 1782.0 0.001750 0.07073 0.07248 393.19 948.9 1342.1 50 2033.1 0.001777 0.06159 0.06337 417.87 924.8 1342.7 55 2310.1 0.001804 0.05375 0.05555 441.79 399.9 1342.7 60 26144 . 0.001834 0.04697 0.04880 467.99 874.2 1342.1 65 2947.8 0.001866 0.04109 0.04296 493.51 847.4 1340.9 70 3312.0 0.001900 0.03597 0.03787 519.39 819.5 1338.9 75 3709.0 0.001937 0.03148 0.03341 $45.70 790.4 1336.1 80 4140.5 0.001978 0.02753, 0.02951 $72.50 759.9 1332.4 85 4608.6 0.002022 0.02404 0.02606 599.90 7278 1327.7 90 5115.3 0.002071 0.02093 0.02300 627,99 693.7 1321.7 95 5662.9 0.002126 0.01815 0.02028 656.95 657.4 1314.4 100 6253.7 0.002188 0.01565 0.01784 686.96 618.4 1305.3 | 10s 6890.4 0.002261 0.01337 0.01564 718.30 375.9 1294.2 110 1878.7 0.002347 0.01128 0.01363 751.37 529.1 1280.5 115 8313.3 0.002452 0.00933 0.01178 786.82 476.2 1263.1 120 9107.2 0.002589 0.00744 0.01003 825.77 414.5 1240.3 125 9963.5 0.002783 0.00554 0.00833 870.69 337.7 1208.4 130 10891.6 0.003122 0.00337 0.00649 929.29 226.9 1156.2 132.3 1333.2 0.004255 0 0.00426 1037.62 0 1037.6