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

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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