Density Practice Problem Worksheet

What is Density?

Density is a measure of how tightly packed the molecules of a substance are. It is defined as the mass of a substance per unit volume. The SI unit of density is kilograms per cubic meter (kg/m^3). The same as its imperial counterpart, kilograms per cubic feet (kg/ft³).

The density of a substance can be used to determine its state of matter. Solids have the highest density, followed by liquids, and then gases. The density of a substance can also be used to calculate its mass, volume, or concentration.

Solving Density Problems

To solve density problems, you need to know the following formulas:

Mass = Density x Volume
Volume = Mass / Density
Density = Mass / Volume

To solve a density problem, simply plug the given values into the appropriate formula. For example:

• What is the density of a rock that has a mass of 10 kg and a volume of 2 m^3?
  Density = Mass / Volume
  = 10 kg / 2 m^3
  = 5 kg/m^3

• What is the volume of a liquid that has a mass of 500 g and a density of 1.2 g/mL?
  Volume = Mass / Density
  = 500 g / 1.2 g/mL
  = 416.67 mL

• What is the mass of a gas that has a volume of 10 L and a density of 0.5 g/L?
  Mass = Density x Volume
  = 0.5 g/L x 10 L
  = 5 g

  

Practice Problems

1. A piece of metal has a mass of 500 g and a volume of 100 cm^3. What is the density of the metal?
2. A liquid has a mass of 250 g and a volume of 200 mL. What is the density of the liquid?
3. A gas has a density of 1.5 g/L and a volume of 5 L. What is the mass of the gas?
4. A solid has a mass of 1000 g and a density of 2 g/cm^3. What is the volume of the solid?
5. A substance has a density of 0.5 g/mL. What is the mass of 100 mL of the substance?
6. A container has a volume of 200 L. What is the mass of air in the container if the density of air is 1.2 g/L?
7. A balloon has a volume of 10 L. What is the mass of helium in the balloon if the density of helium is 0.18 g/L?
8. A rock has a mass of 500 g and a volume of 200 cm^3. What is the density of the rock?
9. A piece of wood has a mass of 200 g and a volume of 500 cm^3. What is the density of the wood?
10. A liquid has a mass of 300 g and a volume of 250 mL. What is the density of the liquid?

Answers

1. 5 g/cm^3
2. 1.25 g/mL
3. 7.5 g
4. 500 cm^3
5. 50 g
6. 240 g
7. 1.8 g
8. 2.5 g/cm^3
9. 0.4 g/cm^3
10. 1.2 g/mL