An inventor just invented a kind of heat engine that could operate at a maximum temperature of1000K and minimum temperature of 300K. This heat engine is used to drive a heat pump which extracts heat from the reservoir at 300 K. Its capacity is operating at a rate twice that at which the engine rejects heat to it. If the efficiency of the engine is 40% of the maximum possible and the COP of the heat pump is 50% of the maximum possible, what is the temperature of the reservoir to which the heat pump rejects heat? What is the rate of heat rejection from the heat pump if the rate of heat supply to the engine is 50 kW?

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Answered: An inventor just invented a kind of…

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An inventor just invented a kind of heat engine that could operate at a maximum temperature of
1000K and minimum temperature of 300K. This heat engine is used to drive a heat pump which extracts heat from the reservoir at 300 K. Its capacity is operating at a rate twice that at which the engine rejects heat to it. If the efficiency of the engine is 40% of the maximum possible and the COP of the heat pump is 50% of the maximum possible, what is the temperature of the reservoir to which the heat pump rejects heat? What is the rate of heat rejection from the heat pump if the rate of heat supply to the engine is 50 kW?

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