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.