The thermal conductivity of helium at a certain temperature is (0.15 mathrm{~W} / mathrm{m} cdot mathrm{K}). Calculate

Question:

The thermal conductivity of helium at a certain temperature is \(0.15 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). Calculate the helium temperature assuming ideal gas behavior, and compare it to the temperature found in Table A.4.

Data From Table A.4:-

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TABLE A.4 Thermophysical Properties of Gases at Atmospheric Pressure" T (K) P (kg/m) (kJ/kg- A-10 V-10 (kJ/kg -K) (N-5/m) (m/s) k-10' (W/m-K) -10 (m/s) Pr Air, M=28.97 kg/kmol 100 3.5562 1.032 71.1 2.00 9.34 2.54 0.786 150 2.3364 1.012 103.4 4.426 13.8 5.84 0.758 200 1.7458 1.007 132.5 7.590 18.1 10.3 0.737 250 1.3947 1.006 159.6 11.44 22.3 15.9 0.720 300 1.1614 1.007 184.6 15.89 26.3 22.5 0.707 350 0.9950 1.009 208.2 20.92 30.0 29.9 0.700 400 0.8711 1.014 230.11 26.41 33.8 38.3 0.690 450 0.7740 1.021 250.7 32.39 37.3 47.2 0.686 500 0.6964 1.030 270.1 38.79 40.7 56.7 0.684 550 0.6329 1.040 288.4 45.57 43.91 66.7 0.683 600 0.5804 1.051 305.8 52.69 46.9 76.9 0.685 650 0.5356 1.063 322.5 60.21 49.7 873 0.690 700 0.4975 1.075 338.8 68.10 52.4 98.0 0.695 750 0.4643 1.087 354.6 76.37 54.9 109 0.702 800 0.4354 1.099 369.8 84.93 57.3 120 0.709 850 0.4097 1.110 384.3 93.80 59.6 131 0.716 900 0.3868 1.121 398.1 102.9 62.0 143 0.720 950 0.3666 1.131 411.3 112.2 64.3 155 0.723 1000 0.3482 1.141 424.4 121.9 66.7 168 0.726 1100 0.3166 1.159 449.0 141.8 71.5 195 0.728 1200 0.2902 1.175 473.0 162.9 76.3 224 0.728 1300 0.2679 1.189 496.0 185.1 82 257 0.719 1400 0.2488 1.207 530 213 91 303 0.703 1500 0.2322 1.230 557 240 100 350 0.685 1600 0.2177 1.248 584 268 106 390 0.688 1700 0.2049 1.267 611 298 113 435 0.685 1800 0.1935 1.286 637 329 120 482 0.683 1900 0.1833 1.307 663 362 128 534 0.677 2000 0.1741 1.337 689 396 137 589 0.672 2100 0.1658 1.372 715 431 147 646 0.667 2200 0.1582 1.417 740 468 160 714 0.655 2300 0.1513 1.478 766 506 175 783 0.647 2400 0.1448 1.558 792 547 196 869 0.630 2500 0.1389 1.665 818 589 222 960 0.613 3000 0.1135 2726 955 841 486 1570 0.536 Ammonia (NH,), M = 17.03 kg/kmol 300 0.6894 2.158 101.5 14.7 24.7 16.6 0.887 320 0.6448 2.170 109 16.9 27.2 19.4 0.870 340 0.6059 2.192 116.5 19.2 29.3 22.1 0.872 360 0.5716 2.221 124 21.7 31.6 24.9 0.872 380 0.5410 2.254 131 24.2 34.0 27.9 0.869

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