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13 May, 01:58

Suppose you have a solid that looks like gold but you believe it to be fool's gold. The mass of the solid is 23.5 grams. When the solid is lowered into a graduated cylinder the water level rises from 47.5 to 52.2 mL. Is the simple fool's gold

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  1. 13 May, 02:23
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    The sample is fool's gold

    Explanation:

    Density is defined as the ratio between mass in grams and volume in mililiters.

    A sample of pure gold has a density of 19.3g/mL.

    Using Archimedes' principle, the volume of the sample is:

    52.2mL - 47.5mL = 4.7mL

    As the mass of the sample is 23.5g, the density is:

    23.5g / 4.7mL = 5g/mL

    The denisty of the sample is very different to density of pure gold, that means:

    the sample is fool's gold
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