To determine the metal, we first need to calculate the density of the unknown sample using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 428 grams
- Volume = 20 cm³
Calculating the density:
\[ \text{Density} = \frac{428 \text{ g}}{20 \text{ cm}^3} = 21.4 \text{ g/cm}^3 \]
Now, we can compare the calculated density with the densities listed in the table:
- Cobalt: 8.9 g/cm³
- Silver: 10.5 g/cm³
- Lead: 11.3 g/cm³
- Platinum: 21.4 g/cm³
- Chromium: 7.2 g/cm³
The calculated density of 21.4 g/cm³ matches the density of Platinum.
Therefore, the unknown metal is Platinum.
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