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2 June, 12:33

The engine that powers a crane burns fuel at a temperature of 1500 oC. It is cooled by air at a temperature of 20 oC. The crane is used to lift a 1000 kg steel girder 30 m into the air. If the engine is 40 % as efficient as a Carnot engine, what is it's thermal efficiency in %?

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  1. 2 June, 13:43
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    Given that,

    Warm temperature TH = 1500°C

    K = °C + 273

    TH=1500+273=1773K

    Cold temperature TL = 20°C

    TL = 20+273

    TL = 293K

    The efficiency of a Carnot engine is given as

    η = 1 - (TL/TH)

    η = 1 - (293/1773)

    η = 1 - 0.165

    η = 0.8347

    Then, in %

    η = 0.8347*100

    η = 83.47%

    Thermal efficiency is 83.47%
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