To determine the identity of the sample, we can use the formula for density, which is:
\[ \text{Density} = \frac{\text{mass}}{\text{volume}} \]
Where:
- mass = 10.8 g
- volume = 0.56 cm³
Now, we can calculate the density of the sample:
\[ \text{Density} = \frac{10.8 , \text{g}}{0.56 , \text{cm}^3} \approx 19.29 , \text{g/cm}^3 \]
Now we can compare this calculated 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 19.29 g/cm³ is closest to the density of gold (19.32 g/cm³).
Therefore, the identity of the sample is:
A. gold
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