To determine the unknown metal based on the given mass and volume, we can calculate the density using the formula:
\[ d = \frac{m}{v} \]
where \( d \) is density, \( m \) is mass, and \( v \) is volume.
Given:
- Mass \( m = 17.8 , \text{g} \)
- Volume \( v = 2 , \text{cm}^3 \)
Now, substituting the values into the formula:
\[ d = \frac{17.8 , \text{g}}{2 , \text{cm}^3} = 8.9 , \text{g/cm}^3 \]
Next, we compare this density with the densities of the metals listed:
- Chromium has a density of approximately 7.19 g/cm³.
- Platinum has a density of approximately 21.45 g/cm³.
- Lead has a density of approximately 11.34 g/cm³.
The calculated density of 8.9 g/cm³ does not match the densities of chromium, platinum, or lead, as it is between the densities of chromium and lead but does not correspond directly to either.
However, this suggests that the unknown metal is likely best represented by those metals in a general context but does not conform directly to any specific standard density. If you were looking for a direct answer from the list given, it is closest to Lead based on the density approximation.
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