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A fresh-food product is held in cold stor- age at 278.0 K. It is packed in a container in the shape of a flat

 

A fresh-food product is held in cold stor- age at 278.0 K. It is packed in a container in the shape of a flat slab with all faces insulated except for the top flat surface, which is exposed to the air at 278.0 K. For estimation purposes, the surface temperature will be assumed to be 278 K. The slab is 152.4 mm thick and the exposed surface area is 0.186 m. The density of the food- stuff is 641 kg/m'. The heat of respiration is 0.070 kJ/kg h and the thermal conduc- tivity is 0.346 W/m K. Calculate the maximum temperature in the food product at steady state and the total heat given off in W. (Note: It is assumed in this problem that there is no air circulation inside the foodstuff. Hence, the results will be conser- vative, since circulation during respiration will reduce the temperature.)

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