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ANSWERS TO END-OF-CHAPTER PROBLEMS Fundamentals of Heat and Mass Transfer (6th Edition) Introduction to Heat Transfer (5th Edition) F.P. Incropera D.P. DeWitt T.L. Bergman A.S. Lavine CHAPTER 1 1.1 14.5 W/m 2 , 58 W 1.2 2667 W 1.3 4312 W, \$4.14/d 1.4 0.10 W/m K 1.5 8400 W 1.6 19,600 W, 120 W 1.7 54 mm 1.8 16.6 W/m 2 , 35.9 W 1.9 375 mm 1.10 110.40°C, 110.24C 1.11 1.1°C 1.12 (a) 9800 W/m 2 1.13 (a) 1400 W/m 2 ; (b) 18,000 W/m 2 1.14 (a) 22.0 W/m 2 K; (b) 22.12, 0.6 1.15 4570 W/m 2 K, 65 W/m 2 K 1.16 51.8°C, 3203 ° C 1.17 6.3 m/s 1.18 0.35 W, 5.25 W 1.19 2.94 W 1.21 15 mW 1.22 6.3 W/m 2 K 1.23 102.5°C 1.25 254.7 K 1.27 0.42, 264 W 1.28 (a) 18,405 W; (b) \$6450 1.30 3.5% 1.31 (a) 0.223 W; (b) 3.44 W 1.32 (a) 8.1 W; (b) 0.23 kg/h 1.33 100°C 1.34 (a) 0, 144 W, 144 W, 0; 0, 144 W, 144 W, 0; (b) 2.04 × 10 5 W/m 3 ; (c) 39.0 W/m 2 K 1.35 (a) 0.052°C/s; (b) 48.4°C 1.36 375 W, 1.8 × 10 -4 W, 0.065 W 1.37 6380 kWh, \$510 or \$170 1.38 (a) 4180 s; (b) 319 K, 359 K; (c) 830 K

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1.39 (a) 0.0181 m 3 /s, 4.7 m/s; (b) 5.97 W 1.40 840 kW 1.41 (a) 32.5 kW/m 2 , 126 kW/m 2 , 17.6 K/s, 68.6 K/s 1.43 (a) 104 K/s; (b) 1251 K 1.46 (a) 1950 A 1.47 132 J/kg K 1.48 (a) –0.084 K/s; (b) 439 K 1.49 (a) 1.41 × 10 -3 kg/s 1.50 3.2 h 1.51 (a) 60.6 × 10 -3 kg/s m 2 , 121 g/m 2 ; (b) 32.3 × 10 -3 kg/s m 2 1.53 49°C 1.54 (a) 7.13 × 10 -3 m 3 /s; (b) 70°C 1.55 (a) 86.7°C; (b) 47°C 1.56 (a) –0.044 K/s; (b) 230 W, 230 W 1.57 (a) 26 ° C; (b) 4.0 × 10 -5 ℓ/s 1.58 (b) 80 ° C 1.59 12.2 W/m 2 K, 12.2 W/m 2 ⋅° C 1.60 (a) 600 K 1.61 375 W/m 2 K 1.62 (a) 5500 W/m 2 ; (b) 87.8°C 1.63 (a) 5268 W; (b) 41°C 1.65 345°C 1.66 (a) 84°C 1.67 214 K, 20.0 mW 1.68 (a) 190.6 W 1.69 (a) 153°C 1.70 (a) 386 W/m 2 ; (b) 27.7°C; (c) 55% 1.71 (a) 47.0°C or 39.9°C CHAPTER 2 2.8 (a) –280 K/m, 14.0 kW/m 2 ; (b) 80 K/m, –4.0 kW/m 2 ; (c) 110°C, –8.0 kW/m 2 ; (d) 60°C, 4.0 kW/m 2 ; (e) –20°C, –10.0 kW/m 2 2.9 (a) 2000 K/m, –200 kW/m 2 ; (b) –2000 K/m, 200 kW/m 2 ; (c) 2000 K/m, –200 kW/m 2 2.11 0, 60 K/m 2.12 100°C, 18.75 W; –40°C, 16.25 W 2.14 1010 W, \$1050; 151 W, \$157; 10.1 W, \$10 2.15 (a) 85 µW 2.16 14.5 (Btu/h ft 2 ⋅° F) -1 , 18 (Btu/h ft 2 ⋅° F) -1 , 18 (Btu/h ft 2 ⋅° F) -1 2.17 (a) 15.0 W/m K, 400 K; (b) 70.0 W/m K, 380 K 2.18 (b) 5.9 × 10 -3 W/m K, (c) 0.74 × 10 -3 ° C, (d) 25.02 ° C 2.19 765 J/kg K, 36.0 W/m K 2.22 (a) 0, 0.98 × 10 5 W/m; (b) 56.8 K/s 2.23 (a) 2 × 10 5 W/m 3 ; (b) 0, 10,000 W/m 2 2.24 (a) 200 W/m 2 , 182 W/m 2 , 18 W/m 2 ; (b) 4.3 W/m 2 K
2.25 (b) 2 × 10 5 W/m 3 ; (c) –2950 W/m 2 , 5050 W/m 2 ; (d) 51 W/m 2 K, 101 W/m 2 K; (f) –2 × 10 5 W/m 3 ; (g) 20°C, 4.94 × 10 6 J/m 2 2.26 (a) 10 6 W/m 3 ; (b) 120°C, 10 4 K/m, –10 5 K/m 2 ; (c) 220°C, 10 4 K/m, –10 5 K/m 2 ; (d) 220°C, 2 × 10 4 K/m, –2 × 10 5 K/m 2 2.40 (a) 0.20 m; (b) 0; (c) –144,765 W; (d) 72,380 W, –72,380 W 2.41 (d) 133°C, 122°C, 133.1°C 2.43 (d) 52.5°C 2.45 (c) 18.0 kW/m 2 , –360 K/m; (d) 8.73 × 10 6 J/m 2 ; (e) 8.73 × 10 6 J/m 2 2.51 (a) 1.8 × 10 6 W/m 3 ; (c) 1.8 × 10 5 W/m 2 ; (d) 7.77 × 10 7 J/m 2 2.53 (a) 25°C, 35°C; (b) 50°C, 30°C; (c) 86.1°C 2.54 (b) 3.18 × 10 8 W/m 3 , 1.59 × 10 5 W/m 2 CHAPTER 3 3.2 (a) 7.7°C, 4.9°C 3.3 (a) 1270 W/m 2 3.4 (b) 2830 W/m2 3.5 14.1 W/m 2 3.6 (a) 996 W/m 2 K, 0.40%; (b) 14.5 W/m 2 K, 37.9% 3.7 (a) 0.553; (b) 22.1°C, 10.8°C; (c) –56.3°C 3.8 (a) 29.4 W 3.9 1.53 W/m K 3.10 (a) 17 mm; (b) 20.7 mm; (c) 40.3 kW, 550 W 3.11 (b) 86 mm 3.12 0.79 W/m K, 43.6 W/m K 3.13 (b) 4.21 kW; (c) 0.6% 3.14 1.30 × 10 8 J 3.15 0.185 K/W 3.16 2.13 3.17 (b) 64 m, 8, 307 kW, 40% 3.18 (a) 0.0875 m, 0.963 m, 0.0008 m, 0.015 m; (b) 573.5 K, 313.1 K, 53.5 K, 313.1 K; (c) 135 W, 33.75 W, 108.4 W, 10.2 W 3.19 (b) 327°C 3.20 (a) 34,600 W/m 2 3.21 3.70 × 10 4 W/m 2 , 55.6°C 3.22 (a) 762 W 3.24 590 W 3.25 (a) 1.97 × 10 6 K/W 3.27 (b) 49°C; (c) 67,200 W/m 2 3.28 (a) 0.268 W 3.29 (b) 5.76 kW 3.30 (b) 189 W 3.34 (a) 48.3 × 10 6 K/W; (b) 62.3 ° C 3.35 (a) 603 W/m 3.36 0.784 m, 0.784 m, 0.025 m

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3.37 2380 W/m 3.39 (a) 12.6 W/m; (b) 7.7 W/m 3.40 (a) 214 mm, 420 W/m 3.41 (a) 251 W/m; (b) 23.5°C 3.42 (a) 4 W/m, 1.27 × 10 6 W/m 3 ; (b) 58°C; (c) 37.6°C, 34.8°C 3.43 4.5 W/m, 13 mm 3.44 (b) 239°C 3.45 (a) 47.1 W/m; (c) 3.25 h 3.47 (a) 779°C; (b) 1153°C, 779°C; (c) 0.0175 m, 318°C 3.48 (a) 3727 W/m, 163 W/m; (b) 0.26 yr 3.49 1830 W/m 3.51 5 mm 3.52 (b) 1040 W/m, 407 K, 325 K 3.53 (a) 0.01 m; (b) 770 W/m, 909 W/m; (c) 55 mm 3.54 8670 W 3.55 (a) 99.8% 3.57 0.062 W/m K 3.59 5.34 mm 3.60 (a) 489 W, (b) 120°C 3.61 13.5 mm, 91% 3.62 601 K 3.63 181 W/m 2 K 3.64 (b) 35.5 mW, 44.9 mW 3.65 (b) 3000 W/m 2 3.67 (a) 1.69 m 3.68 77.9°C 3.69 0.157 W
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