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8.
A chain bracelet is found. It looks as though it might be made of either gold or of
copper. When the bracelet is submerged in a graduated cylinder containing water, the
volume of the water rises from 9.2 cm to 11.7 cm3. The bracelet has a mass of 45 g. Is
the bracelet made of gold or copper? (Note: The density of gold is 19.3 g/cm and the
density of copper is 8.92 g/cmº.)

Respuesta :

vancecouturier

Answer:

The bracelet is made of gold.

Explanation:

The bracelet displaces the water by [tex]11.7cm^3-9.2cm^3 = 2.5cm^3[/tex] and thus has a volume of [tex]2.5cm^3[/tex]. If the bracelet has a mass of 45g, we know that the density of the bracelet is then [tex]\frac{45g}{2.5cm^3}[/tex], which can be simplified to [tex]18\frac{g}{cm^3}[/tex]. This is closer to the density of gold, so it can be assumed that the bracelet is made of gold.

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