There has long been an interest in using the vast quantities of thermal energy in the oceans to run heat engines. A heat engine needs a temp

Question

There has long been an interest in using the vast quantities of thermal energy in the oceans to run heat engines. A heat engine needs a temperature difference, a hot side and a cold side. Conveniently, the ocean surface waters are warmer than the deep ocean waters. Suppose you build a floating power plant in the tropics where the surface water temperature is ~ 35.0 C. This would be the hot reservoir of the engine. For the cold reservoir, water would be pumped up from the ocean bottom where it is always ~ 5.00 C.
What is the maximum possible efficiency of such a power plant?

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RobertKer 4 years 2021-09-02T18:45:02+00:00 1 Answers 11 views 0

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    2021-09-02T18:46:26+00:00

    Answer:

    Explanation:

    The maximum efficient power plant will be the plant based on carnot cycle whose efficiency is given by the following formula

    Efficiency = (T₁ – T₂)  / T₁

    T₁ is temperature of hot reservoir and T₂ is temperature of cold reservoir.

    Putting the given values

    efficiency of power plant = (35 – 5) / (273 + 35 )

    = 30 / 308

    = .097

    = 9.7 %

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