A 10 kg solid at 100°C with a specific heat of 0.8 kJ/kg°C is immersed in 40 kg of 20°C liquid with a specific heat of 4.0 kJ/kg°C. Estimate the temperature after a long time it the container is insulated (Specific heat of
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- 1.60 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.An ordinary egg can be approximated as a 5.5-cm-diameter sphere. The egg is initially at a uniform temperature of 8°C and is dropped into boiling water at 97°C. Taking the properties of the egg to be ρ = 1020 kg/m3 and cp = 3.32 kJ/kg·°C, determine how much heat is transferred to the egg by the time the average temperature of the egg rises to 70°C.THARMOFLUID A student living in a 3-m X 4-m X 4-m dormitory room turns on her 100-W fan before she leaves the room on a summer day, hoping that the room will be cooler when she comes back in the evening. Assuming all the doors and heat trans windows are tightly closed and disregarding any heat fer let through the walls and the windows, determine the temperature in the room when she comes back 8 h later. Use specific heat values at room temperature, and assume room to be at 100 kPa and 20°C in the morning she leaves.
- Determine the heat extracted(in KJ) from 2000 kg of water from 25°C to ice at -10°C.Awatermelon initially at 35°C s to be cooled by dropping it into a lake at 15 °C. After 4 h and 40 min of cooling, the center temperature of watermelon is measured to be 20°C. Treating the watermelon as a 20-cm-diameter sphere and using the properties k= 0.618 W/m-K, a = 0.15 x 10-6 m2/s, p = 995 ka/m3, and cp= 4.18 kJ/kg'K, determine the average heat transfer coefficient and the surface temperature of watermelon at the end of the cooling period.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. How many moles of air are present in the system if the metal cylinder is in the cold tank and the measured pressure and the total air volume are 104160 and 0.00015 m3, respectively?
- Consider a 1000-W iron whose base plate is made of 0.5-cm-thick aluminum alloy 2024-T6 (ρ = 2770 kg/m3 and cp = 875 J/kg·°C). The base plate has a surface area of 0.03 m2 . Initially, the iron is in thermal equilibrium with the ambient air at 22°C. Assuming 90 percent of the heat generated in the resistance wires is transferred to the plate, determine the minimum time needed for the plate temperature to reach 200°C.In a manufacturing facility, 2-in-diameter brassballs (k = 64.1 Btu/h·ft·°F, r = 532 lbm/ft3, and cp =0.092 Btu/lbm·°F) initially at 250°F are quenched in a waterbath at 120°F for a period of 2 min at a rate of 120 ballsper minute. If the convection heat transfer coefficient is42 Btu/h·ft2·°F, determine (a) the temperature of the balls afterquenching and (b) the rate at which heat needs to be removedfrom the water in order to keep its temperature constant at120°F.) Stainless steel ball bearings (ρ = 8085 kg/m3and cp = 0.480 kJ/kgC) having adiameter of 1.22 cm are to be quenched in water at a rate of 1402 per minute.The balls leave the oven at a uniform temperature of 900C and are exposed to air at 300C for a while before they are dropped into the water. If thetemperature of the balls drops to 855C prior to quenching, determine:(i) The rate of heat transfer from the balls to the air; and(ii) The rate of entropy generation due to heat loss from the balls to the air.
- 3. A 16-cm diameter copper ball is to be heated from 100°C to an average temperature of 150°C in 25 minutes. Taking the average density and specific heat of copper in this temperature range to be 8950 kg/m3 and Cp = 0.395 kJ/kg · °C, respectively, determine the total amount of heat transfer (BTU) to the copper ball.A student living in a 4-m x 6-m x 6-m dormitory room turns on her 150-W fan before she leaves the room on a summer day, hoping that the room will be cooler when she comes back in the evening. Assuming all the doors and windows are tightly closed and disregarding any heat transfer through the walls and the windows, determine the temperature in the room when she comes back 10 h later. Use specific heat values at room temperature, and assume the room to be at 100 kPa and 15°C in the morning when she leaves.A student living in a 4-m x 6-m x 6-m dormitory room turns on her 150-W fan before she leaves the room on a summer day, hoping that the room will be cooler when she comes back in the evening. Assuming all the doors and windows are tightly closed and disregarding any heat transfer through the walls and the windows, determine the temperature in the room when she comes back 10 h later. Use specific heat values at room temperature, and assume the room to be at 100 kPa and 15°C in the morning when she leaves. ANS. 58.2 C