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25 July, 04:24

A trash compactor can reduce the volume of its contents to 0.350 their original value. neglecting the mass of air expelled, by what factor is the density of the rubbish increased?

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  1. 25 July, 08:18
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    Let m = the mass of the trash

    Let V = original volume

    The original density is m/V

    After the volume is compressed, it is 0.35 of the original volume.

    The mass remains the same, so the new density is

    m / (0.35V) = 2.857V

    The increase in original density is 2.857 = 285.7% (approximately 300%)

    Answer: The density increases by a factor of 2.85 (or a factor of about 3)
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