To determine the unknown metal's identity, we first need to calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
Given:
- Mass = 428 grams
- Volume = 20 cm³
Now, let's calculate the density:
\[ \text{Density} = \frac{428 , \text{g}}{20 , \text{cm}^3} = 21.4 , \text{g/cm}^3 \]
Now, we can compare this density to the densities of the metals provided 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 density of the unknown metal (21.4 g/cm³) matches the density of Platinum.
Therefore, the unknown metal is Platinum.