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11 April, 10:03

How many pounds of coal would you have to burn to generate enough heat to boil a 15 l kettle?

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  1. 11 April, 12:52
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    Note that

    The heating value of standard coal is about 30,080 kJ/kg

    1 L of water has a mass of 1.0 kg

    The mass of 15 L of water = 15 kg.

    The latent heat of vaporization of water is about 2260 kJ/kg,

    The energy required to boil 15 L of water is

    (2260 kJ/kg) * (15 kg) = 33900 kJ

    The mass of coal required to provide this energy is

    (33900 kJ) / (30080 kJ/kg) = 1.127 kg

    Because 1 kg = 2.205 lb, the mass of coal required is

    (1.127 kg) * (2.205 lb/kg) = 2.485 lb

    Answer: 2.49 lb (nearest hundredth)
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