6. Restaurants often put plates of food under heat lamps to keep them warm after cooking. One possible design has a circ

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6 Restaurants Often Put Plates Of Food Under Heat Lamps To Keep Them Warm After Cooking One Possible Design Has A Circ 1 (33.39 KiB) Viewed 41 times

6. Restaurants often put plates of food under heat lamps to keep them warm after cooking. One possible design has a circular heater at a temperature of 1000 K mounted above a plate of food. You want to analyze how well this design will work to keep a plate of mashed potatoes warm. Assume that the backside of the heater is perfectly insulated (all heat is leaving the surface adjacent to the plate) and the back surface of the plate of potatoes is also insulated. You can ignore the effect of other surfaces in the kitchen. 60 cm D. 20 cm Mashed Potatoes a) Assume that the surface of the mash potatoes is diffuse and grey with an emissivity of 0.9. The ambient conditions in the serving area are 300 K. Calculate the power provided to the heating element to maintain the system at a steady-state. b) Calculate the temperature of the mashed potatoes (assuming there is no variation in temperature within the food) when it is under the heat lamp e) To understand the problem better, the spectral emissivity of the food was measured. The results (below) found that the potatoes are diffuse and semi-grey. Calculate the total hemispherical emissivity and absorptivity of the potatoes assuming that they are irradiated by a 1000 K source, and the surface temperature is 400K 0.95 Spectral Absorptivity F 0.60 0.00 3.00