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C4.1: Density Physical Science

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

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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).

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**Density is a property of matter**

Population density? Forest density? Density of stars? Air quality?

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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?

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**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?

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Solving problems D=m/v Solve for m Solve for v

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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?

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**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.

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Density Samples

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**Determining Density Use a balance to find the mass**

Use a graduated cylinder to find the volume (not a beaker – why?) D = mass/volume

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**Using a graduated cylinder**

Read the mark at eye level Read volume at center of meniscus (ask your teacher!) 1 mL = 1 cm3

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**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?

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**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?

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**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

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**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?

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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

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**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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