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
5
What is the identity of a sample that has a volume of 1.96 cm3 and a mass of 17.6 g?
A.
lead
B.
silver
C.
copper
D.
zinc

1 answer

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

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

Given:

  • Mass = 17.6 g
  • Volume = 1.96 cm³

Let's calculate the density:

\[ \text{Density} = \frac{17.6 , \text{g}}{1.96 , \text{cm}^3} \approx 8.98 , \text{g/cm}^3 \]

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

  • 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 8.98 g/cm³ is closest to the density of copper (8.96 g/cm³).

Therefore, the identity of the sample is:

C. copper