Final Answer:
The volume occupied by a 21.8 g sample of osmium is 0.965 cm³.
Step-by-step explanation:
Osmium has a density of 22.6 g/cm³. The formula for density is given by

Rearranging the formula to solve for volume, we get
Plugging in the given values, the volume of the osmium sample is
, which equals 0.965 cm³.
In simple terms, density represents how much mass is packed into a given volume. For osmium, this means that for every cubic centimeter of space, there are 22.6 grams of osmium. When you have a 21.8 g sample, you can calculate the volume it occupies by dividing the mass by the density.
This calculation is particularly useful in various scientific and industrial applications, such as determining the amount of material needed for a specific space or understanding the composition of substances. In this case, it helps us find the volume of osmium occupied by a given mass, aiding in precise measurements and formulations in fields like chemistry and materials science.