The identity of a sample can be determined using the concept of density. Density is a physical property of matter that relates the mass of a substance to its volume.
To find the density of the sample, you can use the formula: Density = Mass / Volume.
Given:
- Volume = 0.56 cm³
- Mass = 10.8 g
Calculate the density of the sample using the provided values:
Density = 10.8 g / 0.56 cm³ ≈ 19.29 g/cm³
Now, compare the calculated density to the typical densities of the materials listed:
- Lead: Density ≈ 11.34 g/cm³
- Silver: Density ≈ 10.49 g/cm³
- Mercury: Density ≈ 13.53 g/cm³
- Gold: Density ≈ 19.32 g/cm³
The calculated density of the sample (19.29 g/cm³) is closest to the density of gold (19.32 g/cm³). Therefore, the identity of the sample is likely gold, which corresponds to option OD.
