Final answer:
To find the mass of a substance from its density, multiply the density by the volume. The mass of 6.00 cm³ of mercury with a density of 13.5939 g/cm³ is 81.5634 grams, the mass of 25.0 mL of octane with a density of 0.702 g/cm³ is 17.55 grams, and the mass of 4.00 cm³ of sodium with a density of 0.97 g/cm³ is 3.88 grams.
Step-by-step explanation:
How to Calculate Mass from Density
To calculate the mass of a substance from its density, you use the formula:
Mass = Density × Volume
The units of density for solids and liquids are often expressed in grams per cubic centimeter (g/cm³), and for gases, it's grams per liter (g/L). Here are the mass calculations for various substances based on their densities:
- For mercury with a density of 13.5939 g/cm³ and a volume of 6.00 cm³:
- Mass = 13.5939 g/cm³ × 6.00 cm³ = 81.5634 grams
- For octane, with a density of 0.702 g/cm³ and volume 25.0 mL (note that 1 mL = 1 cm³):
- Mass = 0.702 g/cm³ × 25.0 cm³ = 17.55 grams
- For sodium with a density of 0.97 g/cm³ and a volume of 4.00 cm³:
- Mass = 0.97 g/cm³ × 4.00 cm³ = 3.88 grams
The above examples illustrate the calculation of mass of different materials using their density and volume.