Is the bracelet made of gold or copper?
The volume of water in the graduated cylinder rises from 9.2 cm to 11.7 cm when the chain bracelet is submerged. The density of the bracelet is closer to the density of gold (18 g/cm³) than to the density of copper (8.92 g/cm³).
Calculating the Density of the Bracelet:
To solve this problem, we can use the formula: Density = Mass/Volume.
First, we need to calculate the initial volume of the bracelet. The difference in water levels gives us the volume of the bracelet: 11.7 cm - 9.2 cm = 2.5 cm.
Now, we can calculate the density of the bracelet by dividing its mass by its volume: Density = 45 g / 2.5 cm = 18 g/cm³.
Comparing Densities:
Comparing this calculated density with the known densities of gold and copper, we can determine the material of the bracelet.
The density of gold is 19.3 g/cm³, while the density of copper is 8.92 g/cm³. Since the density of the bracelet is closer to the density of gold (18 g/cm³) than to the density of copper (8.92 g/cm³), we can conclude that the bracelet is made of gold.
Conclusion:
Therefore, based on the density calculation, the bracelet is made of gold.