A furnace fails in a home in the winter. Mercifully, the electric power remains on. The resident engineer (ells her spouse not to worry; they'll move into the kitchen, where the heat discarded from the refrigerator may provide for a temporarily comfortable living space. However (the engineer is reminded), the kitchen loses heat to the outdoors. Use the following data to determine the allowable rate of heat loss (kW) from the kitchen for the engineer's proposal to make sense.
Data: Desired kitchen temperature = 290 K.
Refrigerator freezer temperature = 250 K.
Average mechanical power input to refrigerator = 0.40 kW.
Performance: Actual ω = 65% of Carnot ω.