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A 2.37 m wide by 1.17 m high metal plate must be insulated to prevent contact burn injuries. If the
{kins = 0.036 W/m∙K}
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- What mass of water at 25.0C must be allowed to conic to thermal equilibrium with a 1.85-kg cube of aluminum initially at 1.50 102C to lower the temperature of the aluminum to 65.0C? Assume any water turned to steam subsequently recondenses.An aluminum rod 0.500 m in length and with a cross-sectional area of 2.50 cm2 is inserted into a thermally insulated vessel containing liquid helium at 4.20 K. The rod is initially at 300 K. (a) If one-half of the rod is inserted into the helium, how many liters of helium boil off by the time the inserted half cools to 4.20 K? Assume the upper half does not yet cool. (b) If the circular surface of the upper end of the rod is maintained at 300 K, what is the approximate boil-off rate of liquid helium in liters per second after the lower half has reached 4.20 K? (Aluminum has thermal conductivity of 3 100 W/m K at 4.20 K; ignore its temperature variation. The density of liquid helium is 125 kg/m3.)For the human body, what is the rate of heat transfer by conduction through the body's tissue with the following conditions: the tissue thickness is 3.00 cm, the difference in temperature is 2.00 , and the skin area is 1.50 m2. How does this compare with the average heat transfer rate to the body resulting from an energy intake of about 2400 kcal per day? (No exercise is included.)
- One easy way to reduce heating (and cooling) costs is to add extra insulation in the attic of a house. Suppose a single-story cubical house already had 15 cm of fiberglass insulation in the attic and in all the exterior surfaces. If you added an extra 8.0 cm of fiberglass to the attic, by what percentage would the heating cost of the house drop? Take the house to have dimensions 10 m by 15 m by 3.0 m. Ignore air infiltration and heat loss through windows and doors, and assume that the interior is uniformly at one temperature and the exterior is uniformly at another.The convection heat transfer coefficient for a clothedperson standing in moving air is expressed as h = 14.8V 0.69for 0.15 < V < 1.5 m/s, where V is the air velocity. For aperson with a body surface area of 1.7 m2 and an averagesurface temperature of 29°C, determine the rate of heat lossfrom the person in windy air at 10°C by convection for airvelocities of (a) 0.5 m/s, (b) 1.0 m/s, and (c) 1.5 m/s.A 400.0 gg chunk of an unknown metal, which has been in boiling water for several minutes, is quickly dropped into an insulating Styrofoam beaker containing 1.20 kgkg of water at room temperature (20.0∘C∘C). After waiting and gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0 ∘C∘C. Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat of the metal? Express your answer in Joules per kilogram-Kelvin.