The density of a substance tells us how much mass is contained in a given volume. To find the volume occupied by a certain mass, we can use the formula:
Volume = Mass / Density
a. Volume occupied by 100.0 grams of liquid water at 0 degrees Celsius
Given:
- Mass of water = 100.0 grams
- Density of water = 0.9987 g/cm³
Using the formula:
Volume of water = 100.0 g / 0.9987 g/cm³
Volume of water ≈ 100.3 cm³
This means that 100.0 grams of liquid water occupies approximately 100.3 cm³ at 0 degrees Celsius.
b. Volume occupied by 100.0 grams of ice at 0 degrees Celsius
Given:
- Mass of ice = 100.0 grams
- Density of ice = 0.917 g/cm³
Using the same formula:
Volume of ice = 100.0 g / 0.917 g/cm³
Volume of ice ≈ 109.0 cm³
Thus, 100.0 grams of ice occupies approximately 109.0 cm³ at 0 degrees Celsius.
To summarize:
- Volume of 100.0 grams of liquid water at 0 degrees Celsius is about 100.3 cm³.
- Volume of 100.0 grams of ice at 0 degrees Celsius is about 109.0 cm³.