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17 March, 02:53

An electric power plant manages to transfer 76% of the heat produced in the burning of fossil fuels to steam. Of the heat carried by the steam, 45 % is converted to mechanical work of the spinning turbine. Which best describes the overall efficiency of the heat-to-work conversion of the plant?

greater than 76% efficient

76% efficient

45% efficient

less than 45% efficient

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Answers (1)
  1. 17 March, 04:22
    0
    Working backwards, the work output is

    (45%) of (76%) of (the heat from the fossil fuel).

    That's (0.45) x (0.76) x (the heat from the fuel)

    = 0.342 of the heat from the fuel.

    The overall efficiency of the heat-to-work conversion

    of the plant is 34.2%.

    t looks like that's less than 45%.
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