Question

The table shows the densities of some commonly used metals.
Densities of Metals (g/cm₴)
Cobalt
8.9
Silver
10.5
Lead

Platinum
11.3
Chromium
21.4
7.2
A sample of an unknown metal has a mass of 428 grams and a volume of 20 cm'. What is the metal?
(1 point)
• Chromium
• Silver
• Platinum
• Lead

Answer 1

To determine the unknown metal, we first need to calculate its density using the given mass and volume. The formula for density (\( \rho \)) is:

\[
\rho = \frac{\text{mass}}{\text{volume}}
\]

For the unknown metal:

- Mass = 428 grams
- Volume = 20 cm³

Now, we calculate the density:

\[
\rho = \frac{428 \, \text{g}}{20 \, \text{cm}^3} = 21.4 \, \text{g/cm}^3
\]

Now we can compare this calculated density with the densities of the metals provided in the table:

- Cobalt: 8.9 g/cm³
- Silver: 10.5 g/cm³
- Lead: 7.2 g/cm³
- Platinum: 11.3 g/cm³
- Chromium: 21.4 g/cm³

The calculated density of the unknown metal is 21.4 g/cm³, which matches the density of Chromium.

Thus, the metal is **Chromium**.