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
27
What is the identity of a sample that has a volume of 3.62 cm3 and a mass of 28.5 g?
A.
iron
B.
lead
C.
silver
D.
mercury

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To identify the metal in the sample, we can calculate its density using the formula:

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

Given the mass of the sample is 28.5 g and its volume is 3.62 cm³, we can calculate the density as follows:

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

Now, we can compare this calculated density to the densities of the given metals:

  • 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 is closest to the density of iron (7.87 g/cm³). Therefore, the identity of the sample is:

A. iron