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
28
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.
lead
C.
iron
D.
mercury
Answers
GPT-4o mini
To identify the metal sample, we can start by calculating its density using the following formula:
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 28.5 g
- Volume = 3.62 cm³
Now, substituting in the values:
\[
\text{Density} = \frac{28.5 \, \text{g}}{3.62 \, \text{cm}^3} \approx 7.87 \, \text{g/cm}^3
\]
Now, we compare this calculated density with 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 7.87 g/cm³ matches the density of iron.
Therefore, the identity of the sample is:
**C. iron**
\[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
\]
Given:
- Mass = 28.5 g
- Volume = 3.62 cm³
Now, substituting in the values:
\[
\text{Density} = \frac{28.5 \, \text{g}}{3.62 \, \text{cm}^3} \approx 7.87 \, \text{g/cm}^3
\]
Now, we compare this calculated density with 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 7.87 g/cm³ matches the density of iron.
Therefore, the identity of the sample is:
**C. iron**