Objective: To calculate density.

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Objective To calculate density.
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• - Volume of a cube or block length x width x
  height
• - Volume of irregular shaped object use water
  displacement

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Density

• density mass/volume OR d m/v
• d
• Example An object has a mass of 22 g and a
  volume of 11 cm3. What is the density of this
  object?

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Sink
Float
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Example 1

1. An object has a mass of 18.9 g and a volume of
   7.0 mL. What is the density?
2. What is it? (refer to table of densities on page
   17)?
3. Will it float?

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Example 1 Answer

• An object has a mass of 18.9 g and a volume of
  7.0 mL. What is the density?
• d m/v 18.9 g / 7.0 mL 2.7 g/mL
• 2. What is it? (refer to table of densities on
  page 17)?
• Aluminum
• 3. Will it float?
• 2.7 g/mL gt density of water (1.0 g/mL) SINK

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Example 2

1. A liquid has a mass of 4.743 g and a volume of
   6.0 mL. What is the density?
2. What is it (refer to the table of densities on
   page 17)?
3. Will it float?

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Example 2 Answer

• A liquid has a mass of 4.743 g and a volume of
  6.0 mL. What is the density?
• d m/v 4.743 g/6.0 mL 0.79 g/mL
• 2. What is it (refer to the table of densities on
  page 17)?
• ethanol
• 3. Will it float?
• 0.79 g/mL lt density of water (1.0 g/mL) ? float

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Example 3

• What is the density of a cube with a length of
  5.0 cm and a mass of 26 g?

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Example 3 Answer

• What is the density of a cube with a length of
  5.0 cm and a mass of 26 g?
• Volume length x width x height
• Volume 5.0 cm x 5.0 cm x 5.0 cm 125 cm3
• Density m/v 26 g/125 cm3 0.21 g/cm3

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Example 4

• An irregularly shaped stone was lowered into a
  graduated cylinder holding a volume equal to 2.0
  mL. The height of the water rose to 7.0 mL. If
  the mass of the stone was 25 g, what was the
  density?

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Example 4 Answer

• An irregularly shaped stone was lowered into a
  graduated cylinder holding a volume equal to 2.0
  mL. The height of the water rose to 7.0 mL. If
  the mass of the stone was 25 g, what was the
  density?
• Volume 7.0 mL 2.0 mL 5.0 mL
• Density m/v 25 g / 5.0 mL 5.0 g/mL

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Density Equation

• Density Mass/Volume d m/v
• Mass Density x Volume m d x v
• Volume Mass/Density v m/d

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Example 5

• If the density of an object is 8.7 g/mL and the
  volume is 15 mL, what is the mass of the object?

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Example 5 Answer

• If the density of an object is 8.7 g/mL and the
  volume is 15 mL, what is the mass of the object?
• Mass d x v
• Mass 8.7 g/mL x 15 mL
• Mass 130.5 g ? 130 g

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Example 6

• If the density of an object is 3.6 g/mL and the
  mass is 60.0 g, what is the volume of the object?

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Example 6 Answer

• If the density of an object is 3.6 g/mL and the
  mass is 60.0 g, what is the volume of the object?
• Volume m/d
• Volume (60.0 g) / (3.6 g/mL)
• Volume 16.67 mL ? 17 mL

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Example 7

• If the density of an object is 5.5 g/mL and the
  mass is 1.2 kg, what is the volume of the object?

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Example 7 Answer

• If the density of an object is 5.5 g/mL and the
  mass is 1.2 kg, what is the volume of the object?
• Volume m/d
• Volume 1200 g/(5.5 g/mL)
• Volume 218 mL ? 220 mL

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Example 8

• 5.0 mL of the ethanol has a mass of 3.9 g, and
  5.0 mL of benzene has a mass of 4.4 g. Which
  liquid is denser?

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Example 8 Answer

• 5.0 mL of the ethanol has a mass of 3.9 g, and
  5.0 mL of benzene has a mass of 4.4 g. Which
  liquid is denser?
• Ethanol Benzene
• Density Mass/Volume Density Mass/Volume
• Density 3.9 g/5.0 mL Density 4.4 g/5.0 mL
• Density 0.78 g/mL Density 0.88 g/mL
• Benzene is more dense.