A cylindrical aluminum rod of 10-cm diameter and 1-m length is heat treated from 25°C to an average temperature of 450°C in an industrial furnace. Determine the heat transferred to the rods in the furnace. (Answer: 8980.9 kJ)
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- 2.34 Show that the temperature distribution in a sphere of radius . made of a homogeneous material in which energy is released at a uniform rate per unit volume , is1.60 Two electric resistance heaters with a 20 cm length and a 2 cm diameter are inserted into a well-insulated 40-L tank of water that is initially at 300 K. If each heater dissipates 500 W, what is the time required for bringing the water temperature in the tank to 340 K? State your assumption for your analysis.3-202 A 0.2-cm-thick, 10-cm-high, and 15-cm-long circuit board houses electronic componernts on one side that dissipate a total of 15 W of heat uniformly. The board is impregnated with conducting metal fillings and has an effective thermal conductivity of 12 W/m-K. All the heat generated in the components is conducted across the circuit board and is dissipated from the back side of the board to a medium at 37C, with a heat transfer coefficient of 45 W/m2-.K. (a) Determine the surface temperatures on the two sides of the circuit board. (b) Now a 0.1-cm-thick, 10-cm-high, and 15-cm-long aluminum plate (k 237 W/m-K) with 20 0.2-cm-thick, 2-cm-long, and 15-cm-wide aluminum fins of rectangular profile are attached to the back side of the circuit board with a 0.03-cm-thick epoxy adhesive (k = 1.8 W/m K). Determine the new temperatures on the two sides of the circuit board. FIGURE P3-202 Electronic components Fin 15 cm L0.3 cm 10 cm 0.2 cm 20 fins mm 2 mm
- b. Consider a 1000-W iron whose base plate is made of 0.005-m-thick aluminum alloy 195, Cast. The base plate has a surface area of 0.03 m?. Initially, the iron is in thermal equilibrium with the ambient air at 22 °C. Taking the heat transfer coefficient at the surface of the base plate to be 12 w/m²K and assuming 80 percent of the heat generated in the resistance wires is transferred to the plate, i. determine how long it will take for the plate temperature to reach 150 °C. Is it realistic to assume the plate temperature to be uniform at all times? ii. Air 22°C 1000 W ironAt a temperature of 21.4°C the hole in a steel plate has an area of 8.80 x 10- m2. You heat the plate until the area of the hole increases to 8.97 x 10- m2, which allows a steel rod to just slip through this hole. What is the final temperature of the plate? The coefficient of linear expansion of steel is 12 × 10-0/°C."Consider a heat engine with a piston chamber that has a diameter of 30 mm, a cold reservoir at 285 K and hot reservoir at 350 K. It is also equipped with a metal can cylinder that has a volume of 0.0002 m3. What is the total volume of air in the system if the metal can cylinder is in the hot reservoir and the measured pressure and height of the piston are 103850 Pa and 60 mm, respectively?" O 4.24x10-5 m3 O 4.25x10-2 m3 O 2,42x10-4 m3 O 3.70x10-4 m3
- A 0.025-mm-diameter stainless steel wire having K =16 W/m • C is connected to two electrodes. The length of the wire is 80 cm and it is exposed to a convection environment at 20 •C with h = 500 W/m2 • •C. A voltage is impressed on the wire that produces temperatures at each electrode of 200 -C. Determine the total heat lost by the wire in cal/hr.Under steady-state conditions, the wall of a brick house is measured to have an inside temperature of T = 29O K and an outside temperature of To = 320 K . Assume %3D this wall has constant thermal conductivity k = 1.5 W/(m²-K) and the temperature profile through the wall is linear. If the brick wall is 0.11 m thick, determine the total heat transfer through the wall (in Watts) if the wall has an area of 25 m².3-78E Steam exiting the turbine of a steam power plant at 100°F is to be condensed in a large condenser by cooling water flowing through copper pipes (k = 223 Btu/h ft. °F) of inner diameter 0.4 in. and outer diameter 0.6 in. at an average temperature of 70°F. The heat of vaporization of water at 100°F is 1037 Btu/lbm. The heat transfer coefficients are 1500 Btu/h ft² °F on the steam side and 35 Btu/h ft² °F on the water side. Determine the length of the tube required to con- dense steam at a rate of 120 lbm/h. Answer: 1148 ft Steam, 100°F 120 lbm/h Liquid water FIGURE P3-78E Cooling water
- What four processes are involved in heat transfer?A slab of iron with temperature, T-48 deg C is used to heat a flat glass plate that has an initial temperature of Tg1=18 deg C. Assuming no heat is lost to the environment, and the masses are m-0.49 kg for the slab and mg= 310 g for the plate, what is the amount of heat transferred when the two have reached equal temperature? Assume c=0.11 kcal/kg-deg C for iron and c=0.20 kcal/kg- deg C for glass.It is measured that a 2-m2 wall has a heat transfer rate of 7200 W. If the thickness of the wall is 0.02-m and the temperature difference on either side of the wall is 60ºC, determine the thermal conductivity in W/m K.