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24 December, 12:14

You want to design an ideal Carnot heat engine that wastes only 35.0% of the heat that goes into it. The lowest cold-reservoir temperature available to you is + 15.0°C. If 150.0 J of work is done per cycle, the heat input per cycle is closest to

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  1. 24 December, 12:17
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    The heat input per cycle is closest to 230.8 J

    Explanation:

    Given;

    percentage of energy waste = 35%

    The lowest cold-reservoir temperature = 15.0°C

    useful work done in the reservoir per cycle = 150.0 J

    To design an ideal Carnot heat engine that wastes only 35.0% of the heat that goes into it.

    If 35% of heat input = wasted work, then

    65 % of heat input = useful work

    ∴ 0.65 * heat input = 150

    heat input = 150/0.65

    heat input = 230.8 J

    Therefore, the heat input per cycle is closest to 230.8 J
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