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15 November, 22:27

A power plant burns 1000 kg of coal each hour and produces 500 kW of power. Calculate the overall thermal efficiency if each kg of coal produces 6 MJ of energy.

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  1. 15 November, 23:51
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    The overall thermal efficiency is 30%.

    Explanation:

    Given;

    Output power = 500 kWh

    input energy per kg of coal = 6 MJ = 6 x 10⁶ J = 1.66667 kWh

    1000 kg of coal will produce 1000 x 1.66667 kWh = 1666.67 kWh

    Thus, total input power = 1666.67 kWh

    Overall thermal efficiency = Total output power/Total input Power

    Overall thermal efficiency = (500/1666.67) * 100

    Overall thermal efficiency = 0.29999 * 100

    Overall thermal efficiency = 30%

    Therefore, the overall thermal efficiency is 30%.
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