To find out how much space (volume) a sample of iridium will occupy, we can use the formula that relates mass, density, and volume:
\[ \text{Volume} = \frac{\text{Mass}}{\text{Density}} \]
Step 1: Identify the variables
- Mass (m) = 974 g
- Density (ρ) = 22.56 g/mL
Step 2: Plug the values into the formula
Using the formula for volume, we calculate:
\[ \text{Volume} = \frac{974 , \text{g}}{22.56 , \text{g/mL}} \]
Step 3: Perform the division
Now, we perform the calculation:
\[ \text{Volume} = \frac{974}{22.56} \approx 43.2 , \text{mL} \]
Conclusion
The sample of iridium with a mass of 974 g will occupy approximately 43.2 mL.