Units and Dimensions 25 32.174 lb ft0.453 59 24 kg 0.3048 m (Ibf) Ibf s? X. Ibf 1 lb ft (0.0254)² m² in (in?) 2. in kg m = 6894.75 6894.75 N/m? - S m (Table 2.7 gives 6.894 757 × 10' as the value for...


Hello, can someone help me please explain why Celsius equals Kelvin in the solution shown in attached image?thank you


Units and Dimensions 25<br>32.174 lb ft0.453 59 24 kg 0.3048 m<br>(Ibf)<br>Ibf s?<br>X.<br>Ibf<br>1<br>lb<br>ft<br>(0.0254)² m²<br>in<br>(in?)<br>2.<br>in<br>kg m<br>= 6894.75<br>6894.75 N/m?<br>-<br>S m<br>(Table 2.7 gives 6.894 757 × 10' as the value for the conversion factor for<br>lbf<br>to pascal.)<br>in?<br>EXAMPLE 2.4 In the SI system, thermal conductivity has the unit W/(m K). The thermal<br>xQ<br>conductivity of a solid material can be calculated as k =<br>where Q is the rate of heat<br>ΑΔΤ<br>transfer, x is the thickness of solid, A is the area of heat transfer and AT is the temperature<br>difference across the solid. The following values were obtained experimentally: Q = 10 000 kJ/h,<br>A = 1 m2, x = 100 mm and AT = 800 K.<br>%3D<br>%3D<br>%3D<br>(a) Calculate the thermal conductivity of the solid in W/(m K).<br>(b) Express the thermal conductivity in kcal/(h m °C).<br>(c) If thermal conductivity of a second material is 0.15 Btu/(h ft °F), which one will make<br>a better thermal insulator?<br>Solution<br>1000 J<br>10 000 kJ<br>/(a) The rate of heat transfer, Q=10000 kJ/h =-<br>kJ<br>= 2777.78 I/s<br>3600 s<br>h<br>We have:<br>x = 100 mm = 0.1 m, A = 1 m², AT = 800 K<br>%3D<br>Substituting these values in the given equation, we get<br>xQ_0.1x 2777.78<br>k =<br>ΑΔΤ<br>1x 800<br>J<br>0.347<br>sm K<br>W<br>= 0.347<br>m K<br>%3D<br>W<br>0.347-

Extracted text: Units and Dimensions 25 32.174 lb ft0.453 59 24 kg 0.3048 m (Ibf) Ibf s? X. Ibf 1 lb ft (0.0254)² m² in (in?) 2. in kg m = 6894.75 6894.75 N/m? - S m (Table 2.7 gives 6.894 757 × 10' as the value for the conversion factor for lbf to pascal.) in? EXAMPLE 2.4 In the SI system, thermal conductivity has the unit W/(m K). The thermal xQ conductivity of a solid material can be calculated as k = where Q is the rate of heat ΑΔΤ transfer, x is the thickness of solid, A is the area of heat transfer and AT is the temperature difference across the solid. The following values were obtained experimentally: Q = 10 000 kJ/h, A = 1 m2, x = 100 mm and AT = 800 K. %3D %3D %3D (a) Calculate the thermal conductivity of the solid in W/(m K). (b) Express the thermal conductivity in kcal/(h m °C). (c) If thermal conductivity of a second material is 0.15 Btu/(h ft °F), which one will make a better thermal insulator? Solution 1000 J 10 000 kJ /(a) The rate of heat transfer, Q=10000 kJ/h =- kJ = 2777.78 I/s 3600 s h We have: x = 100 mm = 0.1 m, A = 1 m², AT = 800 K %3D Substituting these values in the given equation, we get xQ_0.1x 2777.78 k = ΑΔΤ 1x 800 J 0.347 sm K W = 0.347 m K %3D W 0.347-"= 0.347 m K J (b) sm K cal 4.1868 J cal = 0.347 3 298.557- °C hm°C S 3600 s x m × K × K

Jun 07, 2022
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