Final answer:
To find the density of the piece of jewelry, use the mass (132.6 g) and the displaced volume (12.6 mL) to get 10.52 g/mL. This density helps to hypothesize that the jewelry may be made of either lead or silver if it's a single substance.
Step-by-step explanation:
Calculating the Density of a Piece of Jewelry:-
To calculate the density of the piece of jewelry, you would use the formula Density = Mass/Volume. In this case, the mass of the jewelry given is 132.6 g, and the volume can be determined by the water displacement method. The initial volume of water in the graduated cylinder is 48.6 mL, and after submerging the jewelry, it rises to 61.2 mL. Therefore, the volume displaced by the jewelry is 61.2 mL - 48.6 mL = 12.6 mL.
Density of the jewelry = Mass of the jewelry / Volume displaced
= 132.6 g / 12.6 mL
= 10.52 g/mL. This density is characteristic of certain metals, which aids in identifying the material of the jewelry.
Identifying the Substance of the Jewelry:-
Given the calculated density, one can compare this value to known densities of substances. A density of 10.52 g/mL is close to the density of lead or silver, making it likely that the jewelry could be made of one of these metals. If a pure substance is assumed, then additional information such as color, luster, and other physical properties would be needed for a precise identification.
The concept of density is widely utilized in physics and engineering to determine the composition and qualities of objects.