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14 February, 12:35

A coal-burning power plant generates electrical power at a rate of 650 megawatts (MW), or 6.50 * 108 J/s. The plant has an overall efficiency of 38% for the conversion of heat to electricity. Given this efficiency, how much heat energy in joules is produced in one year of operation?

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  1. 14 February, 13:04
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    Energy produce in one year = 20.49 x 10¹⁶ J/year

    Explanation:

    Given that

    Plant produce 6.50 * 10⁸ J/s of energy.

    It produce 6.50 * 10⁸ J in 1 s.

    We know that

    1 year = 365 days

    1 days = 24 hr

    1 hr = 3600 s

    1 year = 365 x 24 x 3600 s

    1 year = 31536000 s

    So energy produce in 1 year = 31536000 x 6.50 * 10⁸ J/year

    Energy produce in one year = 204984 x 10¹² J/year

    Energy produce in one year = 20.49 x 10¹⁶ J/year
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