Calculating the Mass of a Gold Bracelet

Question:

You want to measure the volume of a gold bracelet. A specimen with 20 mL of water is available; when inserting the bracelet, the water level rises to 25 mL. If the density of gold is 19300 Kg/m³, what will be the mass of the bracelet?

Answer:

The volume of the bracelet is 5 cm³ and the mass is 0.0965 Kg.

Explanation:

To calculate the mass of the gold bracelet, we can use the formula:

Mass = Volume × Density

Given that the volume of water increased by 5 mL after inserting the bracelet, we can determine the volume of the bracelet to be 5 cm³ (since 1 mL is equivalent to 1 cm³).

We know that 1 m³ is equal to 1,000,000 cm³, so 0.000005 m³ is the volume of the bracelet in cubic meters (5 cm³ converted to m³).

Now, by multiplying the volume (0.000005 m³) by the density of gold (19300 Kg/m³), we can find the mass of the bracelet:

Mass = 19300 Kg/m³ × 0.000005 m³ = 0.0965 Kg

Therefore, the mass of the gold bracelet is 0.0965 Kg.