To identify the metal in the sample, we can calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given the mass of the sample is 28.5 g and its volume is 3.62 cm³, we can calculate the density as follows:
\[ \text{Density} = \frac{28.5 \text{ g}}{3.62 \text{ cm}^3} \approx 7.88 \text{ g/cm}^3 \]
Now, we can compare this calculated density to the densities of the given metals:
- 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 7.88 g/cm³ is closest to the density of iron (7.87 g/cm³). Therefore, the identity of the sample is:
A. iron