To determine the identity of the sample, we need to calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 100.5 g
- Volume = 7.42 cm³
Now, we can calculate the density:
\[ \text{Density} = \frac{100.5 , \text{g}}{7.42 , \text{cm}^3} \approx 13.55 , \text{g/cm}^3 \]
Now, we compare this density value to 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 13.55 g/cm³ matches the density of mercury.
Thus, the identity of the sample is: B. mercury.