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15 February, 19:31

An internal combustion engine uses fuel, of energy content 44.4 MJ/kg, at a rate of 5 kg/h. If the efficiency is 28%, determine the power output and the rate of heat rejection.

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  1. 15 February, 23:07
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    Efficiency = Power Output / Power Input

    Power Input = Rate of Energy input = 44.4 MJ/kg * 5 kg/h

    = 222 MJ/h

    But 1 hour = 3600seconds

    222 MJ/h = 222 MJ/3600s = 0.061667 MW J/s = Watts

    Power input = 0.061667 MW = 61 667 W

    From Efficiency = Power Output / Power Input

    28% = Power Output / 61667

    Power Output = 0.28 * 61667

    Power Output = 17266.76 W

    Power Output ≈ 17 267 W

    Rate of heat rejection = Power Input - Power Output

    = 61667 - 17267 = 44400 W

    Rate of heat rejection = 44 400W.
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