A spherical vessel, 3.0 m in diameter (and negligible wall thickness), is used for storing a fluid at a temperature of 0°C. The vessel is covered with a 5.0-cm-thick layer of an insulation (k = 0.20 W/m·K). The surrounding air is at 22°C. The inside and outside heat transfer coefficients are 40 and 10 W/m2·K, respectively. Calculate (a) all thermal resistances, in K/W, (b) the steady rate of heat transfer, and (c) the temperature difference across the insulation layer.

A rod made of glass has a circular cross section with a diameter of 0.1200 m at a temperature of 20 degrees celsius. An aluminum ring has a diameter of 0.1196 m at a temperature of 20 degrees celsius. The coefficients of thermal expansion for glass and aluminum are 9.0 x 10-6 1/K and 24.0 x 10-6 1/K, respectively. At what temperature will the aluminum ring be able to slip over the glass rod? Between 225 and 250 degrees celsius Between 175 and 200 degrees celsius Between 100 and 125 degrees celsius Higher than 300 degrees celsius Between 250 and 275 degrees celsius Between 125 and 150 degrees celsius Between 275 and 300 degrees celsius Between 150 and 200 degrees celsius O Between 200 and 225 degrees celsius

The concrete slab of a basement is 11 m long and 8 m wide, and 0.20 m thick. During the winter, temperatures are nominally 17°C and 10°C at the top and bottom surfaces, respectively. If the concrete has a thermal conductivity of 1.4 W/mK, what is the rate of heat loss through the slab? If the basement is heated by a gas furnace operation at an efficiency of 90%, and natural gas is priced at $0.02. MJ, what is the daily cost of the heat loss. Answer: QLOSS = 4.312 kW, COST = $8.28/day

Suppose you walk into a sauna that has an ambient temperature of 52.0°C. (a) Calculate the rate of heat transfer in watts to you by radiation given your skin temperature is 37.0°C, the emissivity of skin is 0.98, and the surface area of your body is 1.40 m2. W (b) If all other forms of heat transfer are balanced (the net transfer is zero), at what rate will your body temperature increase in degrees Celsius per minute if your mass is 70 kg? °C/min

A closed box is filled with dry ice at a temperature of -81.3 oC, while the outside temperature is 21.5 oC. The box is cubical, measuring 0.392 m on a side, and the thickness of the walls is 4.40 × 10-2 m. In one day, 3.93 × 106 J of heat is conducted through the six walls. Find the thermal conductivity of the material from which the box is made.