To determine the identity of the sample, we can calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 17.6 g
- Volume = 1.96 cm³
Now, let's 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 density with the known densities of the materials listed:
- Copper: approximately 8.96 g/cm³
- Lead: approximately 11.34 g/cm³
- Silver: approximately 10.49 g/cm³
- Zinc: approximately 7.14 g/cm³
The calculated density of approximately 8.98 g/cm³ is very close to the density of copper (8.96 g/cm³).
Therefore, the identity of the sample is A. copper.