A large piece of jewelry has a mass of 132.6 g. A graduated cylinder initially contains 48.6 mL water. When the jewelry is submerged in the graduated cylinder, the total volume increases to 61.2 mL.
(a) Determine the density of this piece of jewelry.
(b) Assuming that the jewelry is made from only one substance, what substance is it likely to be? Explain.
Guide On Rating System
Vote
(a) To determine the density of the jewelry, we can use the formula:
Density = mass/volume
The mass of the jewelry is given as 132.6 g and the volume of water displaced is the difference between the final and initial volumes of the graduated cylinder, which is (61.2 mL - 48.6 mL) = 12.6 mL.
To convert mL to cm^3, we divide by 1 mL = 1 cm^3. Thus, the volume of water displaced is also 12.6 cm^3.
Density = 132.6 g / 12.6 cm^3 = 10.57 g/cm^3
Therefore, the density of the jewelry is 10.57 g/cm^3.
(b) To determine the likely substance the jewelry is made of, we can compare its density to the densities of known substances. In this case, the density of 10.57 g/cm^3 is closest to the density of gold, which is around 19.3 g/cm^3.
Therefore, it is likely that the jewelry is made of gold.
Got a question with my answer?
Cheapmath.com is completely free!
Asking question is free.
Getting answers is free.
+99