Metal Density (g/cm3)

To find the identity of the sample, we need to calculate its density using the formula:

\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]

Given:

• Mass = 10.8 g
• Volume = 0.56 cm³

Now we can calculate the density:

\[ \text{Density} = \frac{10.8 \text{ g}}{0.56 \text{ cm}^3} \approx 19.29 \text{ g/cm}^3 \]

Next, we'll compare this calculated density with the densities of the metals provided:

• Aluminum: 2.70 g/cm³
• Zinc: 7.14 g/cm³
• Iron: 7.87 g/cm³
• Copper: 8.96 g/cm³
• Silver: 10.49 g/cm³
• Lead: 11.34 g/cm³
• Mercury: 13.55 g/cm³
• Gold: 19.32 g/cm³

The calculated density of approximately 19.29 g/cm³ is very close to the density of gold (19.32 g/cm³). Therefore, the identity of the sample is:

D. gold