To identify the unknown metal based on its mass and volume, we will first calculate its density using the formula:
\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]
In this case:
- Mass = 17.8 g
- Volume = 2 cm³
Now, we calculate the density:
\[ \text{Density} = \frac{17.8 , \text{g}}{2 , \text{cm}^3} = 8.9 , \text{g/cm}^3 \]
Next, we can compare the calculated density with the densities of the metals listed:
- 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 8.9 g/cm³ corresponds to the density of cobalt.
Therefore, the unknown metal is Cobalt.
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