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C4.1: Density. Physical Science. C4.1 Density. Supplies: A pencil and science notebook Standards: 8a) Density is mass per unit volume 8b) Calculate the density of substances from measurements of mass and volume 9f) Apply simple mathematic relationships to determine a missing quantity.

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C4 1 density

C4.1: Density

Physical Science


C4 1 density1
C4.1 Density

  • Supplies: A pencil and science notebook

  • Standards:

    • 8a) Density is mass per unit volume

    • 8b) Calculate the density of substances from measurements of mass and volume

    • 9f) Apply simple mathematic relationships to determine a missing quantity


C4 1 density2
C4.1 Density

  • You will be taking notes using Cornell Notes format or Charting Notes format.


C4 1 density3
C4.1 Density

  • Definitions

  • Density: the mass of matter per unit volume; density is typically expressed in units of grams per milliliter (g/mL), grams per cubic centimeter (g/cm3), or kilograms per cubic meter (kg/m3).


Density is a property of matter
Density is a property of matter

  • Population density?

  • Forest density?

  • Density of stars?

  • Air quality?


Density in physics
Density in Physics

  • Density is a property of matter, like color or size.

  • Density is mass per unit volume.

  • Given a cubic centimeter of

    • Steel

    • Water

    • Air

  • Which has more mass?


Units of density
Units of density

  • Units are g/cm3

  • Ratio means

  • 1 g/cm3 = 1000 kg/m3

  • Steel at 8.7 g/cm3 is 8,700 kg/m3 (multiply by 1000 and change units.)

  • Oak at 600 kg/m3 is 0.60 g/cm3 (divide by 1000 and change units.)

  • How does the density of oak compare to the density of water?


Solving problems
Solving problems

  • D=m/v

  • Solve for m

  • Solve for v


Solve it
Solve it

  • A stainless steel sphere has a mass of 25 grams and a volume of 3.2 cm3. What is the density of the sphere?

  • A cube has a mass of 7.8 grams. The length of the sides of the cube is 1.2 cm. What is the density of the cube?


Solve it then compare
Solve it, then compare

  • Honey’s density is 1.4 g/cm3

  • Write this as kg/m3

  • Sandstone’s density is 20,280 kg/m3

  • Write this as g/cm3

  • Compare answers with with someone nearby.



Determining density

Use a balance to find the mass

Use a graduated cylinder to find the volume (not a beaker – why?)

D = mass/volume

Determining Density


Using a graduated cylinder
Using a graduated cylinder

  • Read the mark at eye level

  • Read volume at center of meniscus (ask your teacher!)

  • 1 mL = 1 cm3


Volume of solids
Volume of solids

  • Length X width X heights gives cubic centimeters

  • What is the volume of a box that is 10” long, 5” wide, and 3” high?

  • What is the volume of a box that is 2’ long, 1’ wide, and 9” high?


More volumes use 3 14 for
More volumes, use 3.14 for π

  • Sphere: V=(4/3)πr3

  • What is the volume of a sphere with a radius of 2 cm?

  • Cylinder: V=πr3h

  • What is the volume of a cylinder that is 10 cm tall and has a radius of 3 cm?


Irregular shapes
Irregular shapes

  • Volume by displacement of fluid

  • Remember: 1 mL = 1 cm3

  • Fill graduates cylinder with fluid to known level (50 mL)

  • Carefully slide object down the side of the cylinder

  • Compute the increase in the fluid height

  • 82 mL - 50 mL = 32 mL

  • 32 mL = 32 cm3


Compute this
Compute this

  • I fill a graduated cylinder with 50 mL of water.

  • I slip a stone into the cylinder and the water raises to 62 mL.

  • What is the volume of the stone?


Why density varies
Why density varies

  • Mass of each atom or molecule that that makes up the substance – a calcium atom has more ‘stuff’ in it than an oxygen atom.

  • How tightly the atoms are packed -- the atoms are closer together in diamond that in graphite, but both are carbon.

  • (Except for water) solids are more dense than liquids

  • Liquids are more dense than gases


Ticket out answer this
Ticket Out: Answer this

  • Which has more mass, a pound of bricks or a pound of feathers?

  • Which is more dense, a pound of bricks or a pound of feathers.


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