To determine the identity of the sample, we can calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 2.44 g
- Volume = 0.34 cm³
Let's calculate the density:
\[ \text{Density} = \frac{2.44 , \text{g}}{0.34 , \text{cm}^3} \approx 7.18 , \text{g/cm}^3 \]
Now, we can compare this 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 7.18 g/cm³ is closest to the density of zinc (7.14 g/cm³).
Therefore, the identity of the sample is: C. zinc