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Idealist

  • 3 years ago

A 5.00-grain aspirin tablet has a mass of 320 mg. For how many kilometers would the energy equivalent of this mass power an automobile? Assume 12.75 km/L and a heat of combustion of 3.65x10^7 J/L for the gasoline used in the automobile.

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  1. agent0smith
    • 3 years ago
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    Convert the mass (320mg = 0.32kg) to energy in joules J \[E=mc ^{2}\] The engine uses 3.65x10^7 J/L so we need to find how many litres of gasoline, G, that energy is equivalent to: \[\frac{ E }{3.65x10^7 J/L } = G\] Then we multiply the number of litres of gasoline, G, by the fuel efficiency 12.75 km/L to find the distance in kilometres that it'll take us: \[G \times 12.75 km/L = distance\]

  2. agent0smith
    • 3 years ago
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    oops, that mass should be 320mg = 0.32g = 0.00032 kg

  3. Idealist
    • 3 years ago
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    Thanks.

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