An art collector brings a small statue of a cat to a lab for analysis. It is sup

Question

An art collector brings a small statue of a cat to a lab for analysis. It is supposed to be pure gold, but he suspects fraud. The collector asks if this can be analyzed without damaging the piece. The laboratory technician weighs the object and finds a mass of 310.2g. The laboratory technician then measures the volume by water displacement and finds that the object has a volume of 20.2cm^3(cubic centimeters). The lab also has a small authentic sample of pure gold. It is only 1.3cm^3 in volume and has a mass of only 25.1g. Determine if the small statue of a cat is pure gold. Show complete and appropriate calculations for full credit.

Explanation / Answer

m = 310.2 g

Vdisp = 20.2 cm3

D statue = m/V = 310.2/20.2 = 15.3564 g/cm3

Dsample = m/V = 25.1/1.3 =19.30769 g/cm3

since the densities are not the same, this are NOT the same material

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