A power plant burns coal to generate electricity. Suppose that 1000 J of heat (Q) from the coal fire enters a boiler, which is kept at a con

Question

A power plant burns coal to generate electricity. Suppose that 1000 J of heat (Q) from the coal fire enters a boiler, which is kept at a constant temperature of 900 C. That 1000 J is used to boil water in a boiler. The steam from the boiler is used to drive a turbine that creates electricity (work). The excess heat is put into a cooling tower at 5 C.
Carnot efficiency If everything is perfectly efficient,
• What is the maximum efficiency that the plant could operate at?
• How much work could be done starting from that 1000 J?

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Thái Dương 3 years 2021-08-26T09:53:33+00:00 1 Answers 15 views 0

Answers ( )

  1. thienthi
    0
    2021-08-26T09:54:40+00:00
    Reply

    Answer:

    The work done will be “763 J“. A further explanation is given below.

    Explanation:

    The given values are:

    Q_1=1000 \ J

    Temperature,

    T_1=900^{\circ} C

    i.e,

        =1173

    T_2=5^{\circ}C

    i.e.,

        =278

    As we know,

    ⇒  \eta =1-\frac{T_2}{T_1}

    On substituting the values, we get

    ⇒     =1-\frac{278}{1173}

    ⇒     =\frac{1173-278}{1173}

    ⇒     =\frac{895}{1173}

    ⇒     =0.763

    then,

    ⇒  W=\eta Q_1

    ⇒       =0.763\times 1000

    ⇒       =763 \ J

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