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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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