Question: A Carnot heat engine receives heat from a TER at TTER through a heat exchanger where the heat transfer rate is proportional to the temperature

A Carnot heat engine receives heat from a TER at TTER through a heat exchanger where the heat transfer rate is proportional to the temperature difference as QH = A(TTER-TH). It rejects heat to a cold reservoir at TC. If the heat engine is to maximize the work output, show that the high temperature in the cycle should be selected as TH = sqrt(TTERTC).

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