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29 November, 19:36

An electric generator coupled to a windmill produces an average electric power output of 15 kW. The power is used to charge a storage battery. Heat transfer from the battery to the surroundings occurs at a constant rate of 1.8 kW. Determine, for 8 h of operation

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  1. 29 November, 19:42
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    Explanation:

    The electric power generated by the windmill = P = 15 kW.

    Heat dissipation by the battery = Q = 1.8 kW.

    The power is generated for 1 hour.

    we know, 1 kW = 1 kJ/s

    Hence,

    P=15*60*60 = 54000 kJ

    Q=1.8*60*60 = 6480 kJ

    Net power stored in the battery,

    Δ

    E

    =

    P

    -

    Q

    Δ

    E

    =

    54000

    -

    6480

    Δ

    E

    =

    47520

    k

    J

    Total amunt of energy stored in the battery is 47520 kJ.
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