To find the unknown metal, we can use the formula for density:
\[ d = \frac{m}{v} \]
where:
- \(d\) is the density,
- \(m\) is the mass,
- \(v\) is the volume.
Given:
- Mass (\(m\)) = 17.8 g
- Volume (\(v\)) = 2 cm³
Now, calculate the density:
\[ d = \frac{17.8 , \text{g}}{2 , \text{cm}^3} = 8.9 , \text{g/cm}^3 \]
Next, we can compare this density value with the densities of the metals listed:
- Chromium: approx. 7.2 g/cm³
- Platinum: approx. 21.5 g/cm³
- Lead: approx. 11.3 g/cm³
- Silver: approx. 10.5 g/cm³
- Cobalt: approx. 8.9 g/cm³
The density of the unknown metal is 8.9 g/cm³, which matches the density of Cobalt.
Therefore, the unknown metal is Cobalt.
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