Question

Using a balance, you recorded the mass of the metal sphere to be 34.5grams using a balance.

Choose the density of the sample:
a. 0.58 g/mL
b. 2.70 g/mL
c. 138 ml/g
d. 1.73 g/mL

Answer 1

The density of the jewelry is 10.52 g/mL, which is determined by dividing its mass by the volume displaced when submerged in water. Based on this density, if the jewelry is made of one substance, it is likely not pure gold, as gold has a higher density.

Step-by-step explanation:

To determine the density of an object, you can use the formula:

Density (g/mL) = Mass (g) / Volume (mL).

For the jewelry in question:

1. Calculate the volume displaced by the jewelry by subtracting the initial volume of water from the final volume after submersion. Volume displaced = 61.2 mL - 48.6 mL = 12.6 mL.
2. Next, use the mass of the jewelry (132.6 g) and the volume it displaced (12.6 mL) to calculate the density: Density = 132.6 g / 12.6 mL = 10.52 g/mL.
3. Comparing this density with known densities of substances, we can deduce the likely material. Given the calculated density, if we assume the jewelry is made from a single substance, a substance with similar density to the result should be considered. For example, gold has a density of roughly 19.3 g/cm³ or 19.3 g/mL.

The calculated density is less than that of gold, which means if the jewelry is made of a single substance, it is likely not pure gold. Further analysis, including the consideration of alloys or different metals with densities closer to 10.52 g/mL, is necessary to make an informed guess.