1)A Carnot heat engine operates between a heat source at 1200 K and the environm
ID: 1856912 • Letter: 1
Question
1)A Carnot heat engine operates between a heat source at 1200 K and the environment at 300 K. The net work produced by the engine is used to power a Carnot refrigerator which removes heat from a cooled space at -20C at a rate of 320 kJ/min and rejects it to the same environment at 300 K. Determine a) the net work supplied to the refrigerator, b) the heat supplied by the heat source of the heat engine, c) the heat rejected by the refrigerator, and d) the total heat rejected by the engine and the refrigerator. 2)A heat pump supplies heat to a house at the rate of 150 000 kJ/h when the house is maintained at 25C. Over the period of one month, the heat pump operates for 120 hours to transfer energy from a heat source outside the house to the inside the house. Consider two different outside sources: the first is the outside air at -3C and the second is a lake at 7. If electricity costs $0.06/kWh, determine the maximum money saved by using the lake water rather than the outside air as the outside energy source. 3)Determine the entropy changes of the heat sources and heat sink in problem 1. That is, the heat source for the heat engine, the heat source of the refrigerator and the atmosphere to which the heat engine and the refrigerator reject heat.
Explanation / Answer
A)
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