To identify the metal sample, we need to calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 17.6 g
- Volume = 1.96 cm³
Now, we can calculate the density:
\[ \text{Density} = \frac{17.6 , \text{g}}{1.96 , \text{cm}^3} \approx 8.98 , \text{g/cm}^3 \]
Now, we can compare this calculated density with 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 8.98 g/cm³ closely matches the density of copper, which is 8.96 g/cm³.
Thus, the identity of the sample is:
D. copper