1. Calculations Involving Density
Introduction to the Density Formula
This video will introduce you to the density formula and show you how to change it to the form you need for a particular question.

2. Density is defined as Mass per Unit Volume.

3. Density is defined as Mass per Unit Volume.
Mass and volume are both extrinsic properties. Their values depends on the quantity of the substance you have.
Mass and volume are both extrinsic properties. Their values depend on the quantity of the substance you have.

4. Density is defined as Mass per Unit Volume.
Mass and volume are both extrinsic properties. Their values depends on the quantity of the substance you have.
For example 1 penny has a mass of 2.35 grams and a volume of centimeters cubed.
For example, 1 penny has a mass of 2.35 g and a volume of cm3.

5. Density is defined as Mass per Unit Volume.
Mass and volume are both extrinsic properties. Their values depends on the quantity of the substance you have.
While 2 pennies have a total mass of 4.7 grams and a total volume of centimeters cubed.
For example, 1 penny has a mass of 2.35 g and a volume of cm3.
While 2 pennies have a total mass of 4.70 g and a total volume of cm3.

6. Density is defined as Mass per Unit Volume.
Density is an intrinsic properties. Its value does not depend on the quantity of the substance you have.
Calculating the density of the metal pennies are made from using 1 penny:
If we calculate the density of the metal pennies are made from using 1 penny, Density equals mass divided by volume, which is 2.35 grams divided by centimeters cubed, which works out to 5.69 grams per centimeter cubed.

7. Density is defined as Mass per Unit Volume.
Density is an intrinsic properties. Its value does not depend on the quantity of the substance you have.
Calculating the density of the metal pennies are made from using 2 pennies:
If we calculate the density of the metal pennies are made from using 2 pennies, Density equals mass divided by volume, which is 4.70 grams divided by centimeters cubed, which again works out to 5.69 grams per centimeter cubed. The mass and the volume have both doubled, but the density remains the same.

8. Density is defined as Mass per Unit Volume.
The equation for Density is:
The formula for density is given by the equation d equals m over v.

9. Density is defined as Mass per Unit Volume.
The equation for Density is:
Where:
d is the density,
m is the mass, and
V is the volume
Where d is the density, m is the mass, and V is the volume.

10. Units of Mass: g, kg, mg The units for these quantities can vary.
The units for these can vary. Mass is commonly expressed in grams, kilograms, or milligrams.

11. Units of Volume: cm3, m3, mL, L
The units for these quantities can vary.
Units of Mass: g, kg, mg
Units of Volume: cm3, m3, mL, L
While volume is commonly expressed in centimeters cubed, meters cubed, millilitres or litres.

12. The unit for density is usually a mass unit over a volume unit.

13. The unit for density is usually a mass unit over a volume unit.
Most common are g/cm3, g/mL, and kg/m3
The most common density units are grams per centimeter cubed, grams per milliltre, and kilograms per meter cubed (or kilograms per cubic meter)

14. The Density Equation can also be rearranged to solve for mass or volume:

15. The Density Equation can also be rearranged to solve for mass or volume:
Of course, density is equal to m over V.

16. The Density Equation can also be rearranged to solve for mass or volume:
Cross-multiplying gives m equals d times V.

17. The Density Equation can also be rearranged to solve for mass or volume:
And solving for V gives V equals m over d.

18. The Density Equation can also be rearranged to solve for mass or volume:
A useful mnemonic is:
A mnemonic is a tool to help us remember something. A useful mnemonic for the density equation is.

19. m d V A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
A useful mnemonic is: d V
A circle with an M on top and a D and V on the bottom. To find the equation for each variable, just put your hand on it and see how the others are arranged..

20. m d V To solve for DENSITY A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for DENSITY
A useful mnemonic is: d V
To solve for denisty put your hand on the d.

21. m d V To solve for DENSITY A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for DENSITY
A useful mnemonic is: d V
So d equals m over V.

22. m d V To solve for MASS A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for MASS
A useful mnemonic is: d V
To solve for mass, put your hand on the m.

23. m d V To solve for MASS A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for MASS
A useful mnemonic is: d V
So m equals d times V

24. m d V To solve for VOLUME A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for VOLUME
A useful mnemonic is: d V
To solve for volume, put your hand on the V

25. m d V To solve for VOLUME A useful mnemonic is:
The Density Equation can also be rearranged to solve for mass or volume: m
To solve for VOLUME
A useful mnemonic is: d V
So V equals m over D. It is extremely important when using this mnemonic that you write the letters correctly in the circle. If you do them wrong, then all your equations will be wrong. To rememeber than m is on top and d and V are below, think of something like mountain over deep valley.

26. When using the density formula, make sure the units you use for the variables will combine or cancel to give the unit you need in your answer!
A useful mnemonic is:
When using the density formula, make sure the units you use for the variables will combine or cancel to give the unit you need in your answer!

27. When using the density formula, make sure the units you use for the variables will combine or cancel to give the unit you need in your answer! In some cases you may need to convert units before you put the given quantities into your equation.
A useful mnemonic is:
In some cases you may need to convert units before you put the given quantities into your equation.

28. When using the density formula, make sure the units you use for the variables will combine or cancel to give the unit you need in your answer! In some cases you may need to convert units before you put the given quantities into your equation. You’ll see examples of this in other videos in this section.
A useful mnemonic is:
You’ll see examples of this in other videos in this section. Just make sure you are always consious of the units you are using when doing any calculation in chemistry.