Question

Metal Density (g/cm3)
aluminum 2.70
zinc 7.14
iron 7.87
copper 8.96
silver 10.49
lead 11.34
mercury 13.55
gold 19.32
6
What is the identity of a sample that has a volume of 3.62 cm3 and a mass of 28.5 g?
A.
silver
B.
mercury
C.
lead
D.
iron

Answer 1

To identify the metal sample, we first need to calculate its density using the formula:

\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]

Given:
- Mass = 28.5 g
- Volume = 3.62 cm³

Calculating the density:

\[
\text{Density} = \frac{28.5 \, \text{g}}{3.62 \, \text{cm}^3} \approx 7.88 \, \text{g/cm}^3
\]

Now we can compare this calculated density to the densities of the options provided:

- Aluminum: 2.70 g/cm³
- Zinc: 7.14 g/cm³
- Iron: 7.87 g/cm³
- Copper: 8.96 g/cm³
- Silver: 10.49 g/cm³
- Lead: 11.34 g/cm³
- Mercury: 13.55 g/cm³
- Gold: 19.32 g/cm³

The calculated density of approximately 7.88 g/cm³ closely matches the density of iron, which is 7.87 g/cm³. Therefore, the identity of the sample is:

**D. iron**