To identify the metal sample, we first need to calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 28.5 g
- Volume = 3.62 cm³
Calculating the density:
\[ \text{Density} = \frac{28.5 , \text{g}}{3.62 , \text{cm}^3} \approx 7.88 , \text{g/cm}^3 \]
Now we can compare this calculated density to the densities of the options 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 7.88 g/cm³ closely matches the density of iron, which is 7.87 g/cm³. Therefore, the identity of the sample is:
D. iron
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