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- The surface area of an unclothed person is 1.50 m2, and his skin temperature is 33.0C. The person is located in a dark room with a temperature of 20.0C, and the emissivity of the skin is e = 0.95. (a) At what rate is energy radiated by the body? (b) What is the significance of the sign of your answer?arrow_forwardThe thermal conductivities of human tissues vary greatly. Fat and skin have conductivities of about 0.20 W/m K and 0.020 W/m K, respectively, while other tissues inside the body have conductivities of about 0.50 W/m K. Assume that between the core region of the body and the skin sin face lies a skin layer of 1.0 mm, fat layer of 0.50 cm, and 3.2 cm of other tissues. (a) Find the R-factor for each of these layers, and the equivalent R-factor for all layers taken together, retaining two digits. (b) Find the rate of energy loss when the core temperature is 37C and the exterior temperature is 0C. Assume that both a protective layer of clothing and an insulating layer of unmoving air a absent, and a body area of 2.0 m2.arrow_forwardA 1.0-m-long steel beam, initially at a temperature of 250 C, increases in temperature to 1000 C by inserting it into an insulating jacket for several minutes while the inside of the jacket is subsequently flooded with steam. By how much does the length of the steel beam expand? (The thermal coefficient of linear expansion for steel is 12 x 10-6 (C0)-1) a. 0.90 mm b. 1.0 mm c. 0.70 mm d. 0.80 mm e. 0.60 mmarrow_forward
- In an experiment to determine the thermal conductivity of a new metal alloy, a bar of the metal is completely surrounded by insulation and exposed to 707 W of constant heat energy at one end. The bar has a radius of 0.074 m and a length of 0.331 m. The entire set-up is place in a cold room and once the system has reached steady state conditions, the temperature at the hot end is measured to be 63.8°C and the temperature at the cold end is measured to be 14.9°C. What is the thermal conductivity (in W/m∙K) of the metal alloy [round your final answer to zero decimal places]? Another metal alloy was tested using the same set-up (same size and heat input) as question above. If the temperature difference between the hot end and the cold end for this test was found to be 30°C, it would indicate that this material is a better conductor of heat than the material tested in question above.arrow_forwardIn an experiment to determine the thermal conductivity of a new metal alloy, a bar of the metal is completely surrounded by insulation and exposed to 707 W of constant heat energy at one end. The bar has a radius of 0.074 m and a length of 0.331 m. The entire set-up is place in a cold room and once the system has reached steady state conditions, the temperature at the hot end is measured to be 63.8°C and the temperature at the cold end is measured to be 14.9°C. What is the thermal conductivity (in W/m∙K) of the metal alloy [round your final answer to zero decimal places]?arrow_forwardAn incandescent light bulb has a tungsten filament that is heated to a temperature of 3.00 x103 K when an electric current passes through it. If the surface area of the filament is approximately 1.00 x 10-4 m? and it has an emissivity of 0.370, what is the power radiated by the bulb?The Stefan-Boltzmann constant (0) is 5.670 x 10-8 W/(m 2. k4). Thank u!arrow_forward
- The exhaust duct from a heater has an inside diameter of 114.3 mm with ceramic walls 6.4 mm thick. The average k = 1.52 W/mK. Outside this wall, an insulation of rock wool 102 mm thick is installed. The thermal conductivity of the rock wool is k = 0.046+1.56*10-4T (°C) (W/mK). The inside surface temperature of the ceramic is T1= 588.7 K, and the outside surface temperature of the insulation is T3= 311 K. Calculate the heat loss for 1.5 m of duct and the interface temperature T2between the ceramic and the insulation.Assumesteady heat transfer.Hint: The correct value of km for insulation is that evaluated at the mean temperature of T2+T3/2. Hence, for the first trial assume a mean temperature of, say, 448 K. Then, calculate the heat loss and T2. Using this new T2, calculate a new mean temperature and proceed as before.arrow_forwardConsider a flat sheet of iron at 300 K does not receive any radiation from its surroundings. The metal is 10 cm x 10 cm x 0.1 cm; the heat capacity is 25 J/K mol; the density is 7.86 g/cm3 a) How many joules per second are lost by radiation initially? Assume that one flat side only radiates into space. b) After 20 minutes, what is the temperature of the metal plate?arrow_forwardObjects A and B have the same size and shape with emissivities eA and eB and temperatures TA and TB, respectively. (a) If eA = eB and TB = 4TA, what is the ratio PB /PA of their radiated powers? (b) If, instead, they radiate the same power and eA = 4eB, what is the ratio TB /TA of their Kelvin temperatures?arrow_forward
- A 1020 cm X 1120 cm house is built on a 15.2 cm thick concrete slab of thermal conductivity 0.64 W/m.K.. If the ground temperature of the slab is 7.3°C while the interior of the house is 21°C. (a*1)+ (b*1.5)+(c*2.5) = Calculate the following: a) The temperature difference in kelvin b) The temperature gradient (AT/Ax) in kelvin/metre c) The heat loss rate through the concrete slab in kilowattarrow_forwardA thin, square steel plate, 10 cm on a side, is heated in a blacksmith's forge to 800°C. If the emissivity is 0.60, what is the total rate of radiation of energy from the plate? A. 800 W B. 600 W C. 450 W D. 900 Warrow_forwardAn opaque horizontal plate is well insulated on the edges and the lower surface. The irradiation on the plate is 3000 W/m2, of which 500 W/m2 is reflected. The plate has a uniform temperature of 700 K and has an emissive power of 5000 W/m2. Determine the total emissivity and absorptivity of the plate.arrow_forward
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