To identify the metal sample, we can start by calculating its density using the following formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 28.5 g
- Volume = 3.62 cm³
Now, substituting in the values:
\[ \text{Density} = \frac{28.5 , \text{g}}{3.62 , \text{cm}^3} \approx 7.87 , \text{g/cm}^3 \]
Now, we compare this calculated density with the densities of the metals listed:
- 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 7.87 g/cm³ matches the density of iron.
Therefore, the identity of the sample is:
C. iron
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