could you please do this question for me as soon as possible

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: Could You Please Do This Question For Me As Soon As Possible 1 (60.14 KiB) Viewed 36 times

An industrial scale refrigerator has R134a as the working fluid. The condenser operates on an isobar (that is, at constant pressure) with an exit temperature of 40 °C; the evaporator is at 4 °C. The mass flow rate through the cycle is 5.0 kg/s. The schematic of the cycle is given in the left panel of the figure below; the right panel shows the temperature-entropy (TS) diagram. a. What is the refrigeration rate (0.1? [10 marks] b. What work rate (power) does the compressor need? [10 marks] Use the tables for R134a as provided at the end of typed-up Lecture Notes 4 (on refrigeration & liquefaction). T 3 3 4 3 condenser throttle valve compressor 2 evaporator 2 A S
m/kg TABLE A-10 Properties of Saturated Refrigerant 134a (Liquid-Vapor): Temperature Table Specific Volume Internal Energy Enthalpy kJ/kg kJ/kg Sat. Sat. Sat. Sat. Sat. Sat. Temp. Press. Liquid Vapor Liquid Vapor Liquid Evap. Vapor °C bar WE he hu -40 0.5164 0.7055 0.3569 -0.04 204.45 0.00 222.88 222.88 -36 0.6332 0.7113 0.2947 4.68 206.73 4.73 220.67 225.40 0.7704 0.7172 0.2451 9.47 209.01 9.52 218.37 227.90 -28 0.9305 0.7233 0.2052 14.31 211.29 14.37 216.01 230.38 -26 1.0199 0.7265 0.1882 16.75 212.43 16.82 214.80 231.62 Entropy kJ/kgK Sat. Sat. Liquid Vapor S Sg Temp. °C VFX 10 -32 0.0000 0.0201 0.0401 0.0600 0.0699 0.9560 0.9506 0.9456 0.9411 0.9390 -40 -36 -32 -28 - 26 -24 -22 -20 -18 -16 1.1160 1.2192 1.3299 1.4483 1.5748 0.7296 0.7328 0.7361 0.7395 0.7428 0.1728 0.1590 0.1464 0.1350 0.1247 19.21 21.68 24.17 26.67 29.18 213.57 214.70 215.84 216.97 218.10 19.29 21.77 24.26 26.77 29.30 232.85 234.08 235.31 236.53 237.74 0.0798 0.0897 0.0996 0.1094 0.1192 0.9370 0.9351 0.9332 0.9315 0.9298 -24 -22 -20 -18 --16 213.57 212.32 211.05 209.76 208.45 205.77 203.00 200.15 197.21 194.19 R-134a -12 -8 -4 0 4 1.8540 2.1704 2.5274 2.9282 3.3765 0.1068 0.0919 0.0794 0.0689 0.0600 34.25 39.38 44.56 49.79 55.08 220.36 222.60 224.84 227.06 229.27 34.39 39.54 44.75 50.02 55.35 240.15 242.54 244.90 247.23 249.53 0.1388 0.1583 0.1777 0.1970 0.2162 -12 -8 -4 0 4 0.7498 0.7569 0.7644 0.7721 0.7801 0.7884 0.7971 0.8062 0.8157 0.8257 0.9267 0.9239 0.9213 0.9190 0.9169 0.9150 0.9132 0.9116 0.9102 0.9089 8 12 16 20 24 3.8756 4.4294 5.0416 5.7160 6.4566 0.0525 0.0460 0.0405 0.0358 0.0317 60.43 65.83 71.29 76.80 82.37 231.46 233.63 235.78 237.91 240.01 60.73 66.18 71.69 77.26 82.90 191.07 187.85 184.52 181.09 177.55 251.80 254.03 256.22 258.36 260.45 0.2354 0.2545 0.2735 0.2924 0.3113 8 12 16 20 24 Bob四四四四四四%%%%% 26 28 30 32 34 6.8530 7.2675 7.7006 8.1528 8.6247 0.8309 0.8362 0.8417 0.8473 0.8530 0.0298 0.0281 0.0265 0.0250 0.0236 85.18 88.00 90.84 93.70 96.58 241.05 242.08 243.10 244.12 245.12 85.75 88.61 91.49 94.39 97.31 175.73 173.89 172.00 170.09 168.14 261.48 262.50 263.50 264.48 265.45 0.3208 0.3302 0.3396 0.3490 0.3584 0.9082 0.9076 0.9070 0.9064 0.9058 26 28 30 32 34 36 38 40 42 44 9.1168 9.6298 10.164 10.720 11.299 0.8590 0.8651 0.8714 0.8780 0.8847 0.0223 0.0210 0.0199 0.0188 0.0177 99.47 102.38 105.30 108.25 111.22 246.11 247.09 248,06 249.02 249.96 100.25 103.21 106.19 109.19 112.22 166.15 164.12 162.05 159.94 157.79 266.40 267.33 268.24 269.14 270.01 0.3678 0.3772 0.3866 0.3960 0.4054 0.9053 0.9047 0.9041 0.9035 0.9030 36 38 40 42 44 48 52 56 60 12.526 13.851 15.278 16.813 0.8989 0.9142 0.9308 0.9488 0.0159 0.0142 0.0127 0.0114 117.22 123.31 129.51 135.82 251.79 253.55 255.23 256.81 118.35 124.58 130.93 137.42 153.33 148.66 143.75 138.57 271.68 273.24 274.68 275.99 0.4243 0.4432 0.4622 0.4814 0.9017 0.9004 0.8990 0.8973 48 52 56 60 70 21.162 1.0027 0.0086 152.22 260.15 154.34 124.08 278.43 0.5302 0.8918 70 80 26.324 1.0766 0.0064 169.88 262.14 172.71 106.41 279.12 0.5814 0.8827 80 90 32.435 1.1949 0.0046 189.82 261.34 193.69 82.63 276.32 0.6380 0.8655 90 100 39.742 1.5443 0.0027 218.60 248.49 224.74 34.40 259.13 0.7196 0.8117 100 Source: Tables A-10 through A-12 are calculated based on equations from D. P. Wilson and R. S. Basu, "Thermodynamic Properties of a New Stratospherically Safe Working Fluid - Refrigerant 134a." ASHRAE Trans, Vol. 94, P. 2. 1988, pp. 2095-2118.
Tables in SI Units 737 TABLE A-11 Properties of Saturated Refrigerant 134a (Liquid-Vapor): Pressure Table Specific Volume Internal Energy Enthalpy m/kg kJ/kg kJ/kg Sat. Sat. Sat. Sat. Sat. Press. Temp. Liquid Vapor Liquid Vapor Liquid Evap bar °C U. hi he 0.6 -37.07 0.7097 0.3100 3.41 206.12 3.46 221.27 0.8 -31.21 0.7184 0.2366 10.41 209.46 10.47 217.92 1.0 - 26.43 0.7258 0.1917 16.22 212.18 16.29 215.06 1.2 -22.36 0.7323 0.1614 21.23 214.50 21.32 212.54 1.4 -18.80 0.7381 0.1395 25.66 216.52 25.77 210.27 Sat. Vapor hi Press bar U x 10 224.72 228.39 231.35 233.86 236.04 0.6 0.8 1.0 1.2 1.4 Entropy kJ/kg-K Sat. Sat. Liquid Vapor 31 0.0147 0.9520 0.0440 0.9447 0.0678 0.9395 0.0879 0.9354 0,1055 0.9322 0.1211 0.9295 0.1352 0.9273 0.1481 0.9253 0.1710 0.9222 0.1911 0.9197 0.2089 0.9177 0.2251 0.9160 0.2399 0.9145 0.2723 0.9117 0.2999 0.9097 1.6 1.6 1.8 2.0 2.4 2.8 - 15.62 -12.73 -10.09 -5.37 -1.23 0.7435 0.7485 0.7532 0.7618 0.7697 29.66 33.31 36.69 42.77 48,18 218.32 219.94 221.43 224.07 226.38 29.78 33.45 36.84 42.95 48.39 237.97 239.71 241.30 244,09 246.52 1.8 2.0 2.4 2.8 0.1229 0.1098 0.0993 0.0834 0.0719 0.0632 0.0564 0.0509 0.0409 0.0341 208.19 206.26 204.46 201.14 198.13 195.35 192.76 190.32 184.74 179.71 3.2 3.6 4.0 5.0 6.0 2.48 5.84 8.93 15.74 21.58 0.7770 0.7839 0.7904 0.8056 0.8196 53.06 57.54 61.69 70.93 78.99 228.43 230.28 231.97 235.64 238.74 53.31 57.82 62.00 71.33 79.48 3.2 3.6 4.0 5.0 6.0 248.66 250.58 252.32 256.07 259.19 261.85 264.15 266.18 267.97 270.99 7.0 8.0 9.0 10.0 12.0 26.72 31.33 35.53 39.39 46.32 0.8328 0.8454 0.8576 0.8695 0.8928 86.19 92.75 98.79 104.42 114.69 241.42 243.78 245.88 247.77 251.03 86.78 93.42 99.56 105.29 115.76 175.07 170.73 166.62 162.68 155.23 0.3242 0.3459 0.3656 0.3838 0.4164 0.9080 0.9066 0.9054 0.9043 0.9023 7.0 8.0 9.0 10.0 12.0 14.0 16.0 18.0 20.0 25.0 30.0 52.43 57.92 62.91 67.49 77.59 86.22 0.9159 0.9392 0.9631 0.9878 1.0562 1.1416 0,0292 0.0255 0.0226 0.0202 0.0166 0.0140 0,0121 0.0105 0.0093 0.0069 0.0053 123.98 132.52 140,49 148.02 165.48 181.88 253.74 256.00 257.88 259.41 261.84 262.16 125.26 134.02 142.22 149.99 168.12 185.30 148.14 141.31 134.60 127.95 111.06 92.71 273.40 275.33 276.83 277.94 279.17 278.01 0,4453 0.4714 0.4954 0.5178 0.5687 0.6156 0.9003 0.8982 0.8959 0.8934 0.8854 0.8735 14.0 16.0 18.0 20.0 25.0 30.0
"C kJ/kg-K 0.9395 0.9602 0.9918 TABLE A-12 Properties of Superheated Refrigerant 134a Vapor T V $ V h m /kg kJ/kg kJ/kg kJ/kg K m'/kg kJ/kg kJ/kg p = 0.6 bar = 0.06 MPa p = 1.0 bar = 0.10 MPa (T = -37.07°C) (Tat= -26.43°C) Sat. 0.31003 206.12 224.72 0.9520 0.19170 212.18 231.35 -20 0.33536 217.86 237.98 1.0062 0.19770 216.77 236.54 -10 0.34992 224.97 245.96 1.0371 0.20686 224.01 244.70 0 0.36433 232.24 254.10 1.0675 0.21587 231.41 252.99 10 0.37861 239.69 262.41 1.0973 0.22473 238.96 261.43 20 0.39279 247.32 270.89 1.1267 0.23349 246,67 270.02 30 0.40688 255.12 279.53 1.1557 0.24216 254.54 278.76 40 0.42091 263.10 288.35 1.1844 0.25076 262.58 287.66 50 0.43487 271.25 297.34 1.2126 0.25930 270.79 296.72 60 0.44879 279.58 306.51 1.2405 0.26779 279.16 305.94 70 0.46266 288.08 315.84 1.2681 0.27623 287.70 315.32 80 0.47650 296.75 325.34 1.2954 0.28464 296.40 324.87 90 0.49031 305.58 335.00 1.3224 0.29302 305.27 334.57 1.0227 1.0531 1.0829 1.1122 1.1411 1.1696 1.1977 1.2254 1.2528 1.2799 0.9273 0.9362 0.9684 p = 1,4 bar = 0.14 MPa (7.-18.80°C) Sat. 0.13945 216.52 236.04 -10 0.14549 223.03 243.40 0 0.15219 230.55 251.86 10 0.15875 238.21 260.43 20 0.16520 246,01 269.13 30 0.17155 253.96 277.97 40 0.17783 262.06 286.96 0.18404 270.32 296.09 60 0.19020 278.74 305.37 70 0.19633 287.32 314.80 80 0.20241 296.06 324.39 90 0.20846 304.95 334.14 100 0.21449 314.01 344.04 p = 1.8 bar = 0.18 MPa (T=-12.73°C) 0.10983 219.94 239.71 0.11135 222.02 242.06 0.11678 229.67 250.69 0.12207 237.44 259.41 0.12723 245.33 268.23 0.13230 253.36 277.17 0.13730 261.53 286.24 0.14222 269.85 295.45 0.14710 278.31 304.79 0.15193 286.93 314.28 0.15672 295.71 323.92 0.16148 304.63 333.70 0.16622 313.72 343.63 0.9322 0.9606 0.9922 1.0230 1.0532 1.0828 1.1120 1.1407 1.1690 1.1969 1.2244 1.2516 1.2785 0.9998 1.0304 1.0604 50 1.0898 1.1187 1.1472 1.1753 1.2030 1.2303 1.2573 0.9222 0.9253 0.9256 0.9582 0.9399 p = 2.0 bar = 0.20 MPa (7.-10.09°C) Sat. 0.09933 221.43 241.30 -10 0.09938 221.50 241.38 0 0.10438 229.23 250.10 10 0.10922 237.05 258.89 20 0.11394 244.99 267.78 30 0.11856 253.06 276.77 40 0.12311 261.26 285.88 50 0.12758 269.61 295.12 60 0.13201 278.10 304.50 70 0.13639 286.74 314.02 80 0.14073 295.53 323.68 90 0.14504 304.47 333.48 100 0.14932 313.57 343.43 0.9898 1.0206 1.0508 p = 2.4 bar = 0.24 MPa (Tat-5.37°C) 0.08343 224.07 244.09 0.08574 228,31 248.89 0.08993 236.26 257.84 0.09399 244.30 266.85 0.09794 252.45 275.95 0.10181 260.72 285.16 0.10562 269.12 294.47 0.10937 277.67 303.91 0.11307 286.35 313.49 0.11674 295.18 323.19 0.12037 304.15 333.04 0.12398 313.27 343.03 0.9721 1.0034 1.0339 1.0804 1.1094 1.1380 1.0637 1.0930 1.1218 1.1661 1.1939 1.2212 1.2483 1.1501 1.1780 1.2055 1.2326
U 14 m/kg kJ/kg kJ/kg kJ/kg-K p = 3.2 bar = 0.32 MPa (T-2.48°C) 0.06322 228.43 248,66 0.9177 T U h °C m/kg kJ/kg kJ/kg kJ/kg K p = 2.8 bar = 0.28 MPa (T-1.23°C) Sal. 0.07193 226.38 246.52 0.9197 0 0.07240 227.37 247.64 0.9238 10 0.07613 235.44 256.76 0.9566 20 0.07972 243.59 265.91 0.9883 30 0.08320 251.83 275.12 1.0192 40 0.08660 260.17 284.42 1.0494 50 0.08992 268.64 293.81 1.0789 60 0,09319 277.23 303.32 1.1079 700.09641 285.96 312.95 1.1364 80 0.09960 294.82 322.71 1.1644 90 0.10275 303.83 332.60 1.1920 100 0.10587 312.98 342.62 1.2193 110 0.10897 322.27 352.78 1.2461 120 0.11205 331.71 363.08 1.2727 0.06576 0.06901 0.07214 0.07518 0.07815 0.08106 0.08392 0.08674 0.08953 0.09229 0,09503 0.09774 234.61 255.65 242.87 264.95 251.19 274.28 259.61 283.67 268.14 293.15 276.79 302.72 285.56 312.41 294.46 322.22 303.50 332.15 312.68 342.21 322.00 352.40 331.45 362.73 0.9427 0.9749 1.0062 1.0367 1.0665 1.0957 1.1243 1.1525 1.1802 1.2076 1.2345 1.2611 p 0.9117 Sat. 0.05089 10 0.05119 20 0.05397 30 0.05662 40 0.05917 50 0.06164 60 0.06405 70 0.06641 80 0.06873 90 0.07102 100 0.07327 110 0,07550 120 0.07771 0.07991 140 0.08208 4.0 bar = 0.40 MPa (T=893°C) 231.97 252.32 232.87 253.35 241.37 262.96 249.89 272.54 258.47 282.14 267.13 291.79 275.89 301.51 284.75 311.32 293.73 321.23 302.84 331.25 312.07 341.38 321.44 351.64 330.94 362.03 340.58 372.54 350.35 383.18 0.9145 0.9182 0.9515 0.9837 1.0148 1.0452 1.0748 1.1038 1.1322 1.1602 1.1878 1.2149 1.2417 1.2681 1.2941 p=5.0 bar -0.50 MPa (T= 15.74°C) 0.04086 235.64 256.07 0.04188 239.40 260.34 0.04416 248.20 270.28 0.04633 256.99 280.16 0.04842 265.83 290.04 0.05043 274.73 299.95 0.05240 283.72 309.92 0.05432 292.80 319.96 0.05620 302.00 330.10 0.05805 311.31 340.33 0.05988 320.74 350.68 0.06168 330.30 361.14 0.06347 339.98 371.72 0.06524 349.79 382.42 0.9264 0.9597 0.9918 1.0229 1.0531 1.0825 1.1114 1.1397 1.1673 1.1949 1.2218 1.2484 1.2746 130 p = 6,0 bar -0.60 MPa (7 = 21.58°C) Sat. 0.03408 238.74 259.19 0.9097 30 0.03581 246.41 267.89 0.9388 40 0.03774 255.45 278.09 0.9719 50 0.03958 264.48 288.23 1.0037 60 0.04134 273.54 298.35 1.0346 70 0.04304 282.66 308.48 1.0645 80 0.04469 291.86 318.67 1.0938 90 0.04631 301.14 328.93 1.1225 100 0.04790 310.53 339.27 1.1505 110 0.04946 320.03 349.70 1.1781 120 0.05099 329,64 360.24 1.2053 130 0.05251 339.38 370.88 1.2320 140 0.05402 349.23 381.64 1.2584 0.05550 359.21 392.52 1.2844 160 0.05698 369.32 403.51 1.3100 p = 7.0 bar -0.70 MPa (7) = 26.72°C) 0.02918 241.42 261.85 0.02979 244.51 265.37 0.03157 253.83 275.93 0.03324 263.08 286.35 0.03482 272.31 296.69 0.03634 281.57 307.01 0.03781 290.88 317.35 0.03924 300.27 327.74 0.04064 309.74 338.19 0.04201 319.31 348.71 0.04335 328.98 359.33 0.04468 338.76 370,04 0.04599 348.66 380.86 0.04729 358.68 391.79 0.04857 368.82 402.82 0.9080 0.9197 0.9539 0.9867 1.0182 1.0487 1.0784 1.1074 1.1358 1.1637 1.1910 1.2179 1.2444 1.2706 1.2963
U 11 h m/kg kJ/kg kJ/kg kJ/kg K P = 8,0 bar = 0.80 MPa (Tu = 31.33°C) Sat. 0.02547 243.78 264.15 0.9066 40 0.02691 252.13 273.66 0.9374 50 0.02846 261.62 284.39 0.9711 60 0.02992 271.04 294.98 1.0034 70 0.03131 280.45 305.50 1.0345 80 0.03264 289.89 316.00 1.0647 90 0.03393 299.37 326.52 1.0940 100 0.03519 308.93 337.08 1.1227 110 0.03642 318.57 347.71 1.1508 120 0.03762 328.31 358.40 1.1784 130 0.03881 338.14 369.19 1.2055 140 0.03997 348.09 380.07 1.2321 150 0.04113 358.15 391.05 1.2584 160 0.04227 368,32 402.14 1.2843 170 0.04340 378.61 413.33 1.3098 180 0.04452 389.02 424.63 1.3351 U h m/kg kJ/kg kJ/kg kJ/kg. K p = 9,0 bar = 0.90 MPa (Tat = 35.53°C) 0.02255 245.88 266.18 0.9054 0.02325 250.32 271.25 0.9217 0.02472 260,09 282.34 0.9566 0.02609 269.72 293.21 0.9897 0.02738 279.30 303.94 1.0214 0.02861 288.87 314.62 1.0521 0.02980 298.46 325.28 1.0819 0.03095 308,11 335.96 1.1109 0.03207 317.82 346.68 1.1392 0.03316 327.62 357.47 1.1670 0.03423 337.52 368.33 1.1943 0,03529 347.51 379.27 1.2211 0.03633 357.61 390.31 1.2475 0.03736 367.82 401.44 1.2735 0.03838 378.14 412.68 1.2992 0.03939 388.57 424.02 1.3245 p = 12.0 bar = 1.20 MPa (7 = 46.32°C) 0.01663 251.03 270.99 0.9023 p - 10.0 bar 1.00 MPa (7= 39.39°C) Sat. 0.02020 247.77 267.97 0.9043 40 0.02029 248.39 268.68 0.9066 50 0.02171 258.48 280.19 0.9428 60 0.02301 268.35 291.36 0.9768 70 0.02423 278.11 302.34 1.0093 80 0.02538 287.82 313.20 1.0405 90 0.02649 297.53 324.01 1.0707 100 0.02755 307.27 334.82 1.1000 110 0.02858 317.06 345.65 1.1286 120 0.02959 326.93 356,52 1.1567 130 0.03058 336.88 367.46 1.1841 140 0.03154 346.92 378.46 1.2111 150 0.03250 357.06 389.56 1.2376 160 0.03344 367.31 400.74 1.2638 170 0.03436 377.66 412.02 1.2895 180 0.03528 388.12 423.40 1.3149 0.01712 0.01835 0.01947 0.02051 0.02150 0.02244 0,02335 0.02423 0.02508 0.02592 0.02674 0,02754 0.02834 0.02912 254.98 265.42 275.59 285.62 295.59 305.54 315.50 325.51 335.58 345.73 355.95 366.27 376.69 387.21 275.52 287.44 298.96 310.24 321.39 332.47 343.52 354.58 365.68 376.83 388.04 399.33 410.70 422.16 0.9164 0.9527 0.9868 1.0192 1.0503 1.0804 1.1096 1.1381 1.1660 1.1933 1.2201 1.2465 1.2724 1.2980 p = 14.0 bar -1.40 MPa (7 = 52.43°C) Sat 0.01405 253.74 273.40 0.9003 60 0.01495 262.17 283.10 0.9297 70 0.01603 272.87 295.31 0.9658 80 0.01701 283.29 307.10 0.9997 90 0.01792 293.55 318.63 1.0319 100 0.01878 303.73 330.02 1.0628 110 0.01960 313.88 341.32 1.0927 120 0.02039 324.05 352.59 1.1218 130 0.02115 334.25 363.86 1.1501 140 0.02189 344.50 375.15 1.1777 150 0.02262 354.82 386.49 1.2048 160 0.02333 365.22 397.89 1.2315 170 0.02403 375.71 409.36 1.2576 180 0.02472 386.29 420.90 1.2834 190 0.02541 396.96 432.53 1.3088 200 0.02608 407.73 444.24 1.3338 P 16,0 bar = 1.60 MPa (7... 57.92°C) 0.01208 256.00 275.33 0.01233 258.48 278.20 0.01340 269.89 291.33 0.01435 280.78 303.74 0.01521 291.39 315.72 0.01601 301.84 327.46 0.01677 312.20 339.04 0.01750 322.53 350.53 0.01820 332.87 361.99 0.01887 343.24 373.44 0.01953 353.66 384.91 0.02017 364.15 396.43 0.02080 374.71 407.99 0.02142 385.35 419.62 0.02203 396,08 431.33 0.02263 406.90 443.11 0.8982 0.9069 0.9457 0.9813 1.0148 1.0467 1.0773 1.1069 1.1357 1.1638 1.1912 1.2181 1.2445 1.2704 1.2960 1.3212