What is the identity of a sample that has a volume of 1.96 cm3 and a mass of 17.6 g?

A.
copper
B.
lead
C.
silver
D.
zinc

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

To determine the identity of the 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

Now, 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 density with the known densities of the materials listed:

  • Copper: approximately 8.96 g/cm³
  • Lead: approximately 11.34 g/cm³
  • Silver: approximately 10.49 g/cm³
  • Zinc: approximately 7.14 g/cm³

The calculated density of approximately 8.98 g/cm³ is very close to the density of copper (8.96 g/cm³).

Therefore, the identity of the sample is A. copper.