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Introduction to Density. Density is the measurement of the mass of an object per unit volume of that object. d = m / V Density is usually measured in g/mL or g/cm 3 for solids or liquids. Volume may be measured in the lab using a graduated cylinder or calculated using:

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introduction to density
Introduction to Density
  • Density is the measurement of the mass of an object per unit volume of that object.

d = m / V

  • Density is usually measured in g/mL or g/cm3 for solids or liquids.
  • Volume may be measured in the lab using a graduated cylinder or calculated using:
  • Volume = length x width x height if a box or
  • V = pr2h if a cylinder.
  • Remember 1 mL = 1 cm3
how to measure the density of a solid in the laboratory
How to measure the density of a solid in the laboratory.
  • Obtain a clean graduated cylinder.
  • Fill the graduated cylinder with enough water to cover the object. Record the volume
  • Carefully place the object into the water filled graduated cylinder.
  • Record the new water level.
  • The volume of the object is the Vfinal – Vinitial.
introduction to density4
Introduction to Density
  • Example: An object has a mass of 50.0 g and occupies a volume of 52.0 mL. What is its density?

d = m / V = 50.0 g / 52.0 mL = 0.98 g/mL

  • Example: A cylinderical piece of metal is 2.03 inches high and has a diameter 17.0 mm wide and weighs 31.599 g. Identify the metal.

V=pr2h = p(1.70 cm/2)2* (2.03 in [2.54 cm/1in]) =11.7 cm3 D = m/V = 31.599 g / 11.7 mL = 2.70 g/mL

The metal is aluminum!

practice problems on density
Practice Problems on density

15.9 mL

1.58 g/mL

___________ 1. Calculate the volume, in microliters, of a cylinder that is 32.42 mm long with a diameter of 0.0789 cm.

  •  ___________ 2. Calculate the density of a solution if 45.0 mL of the solution weighs 7.12 x 10-2 kg.
  •  ___________ 3. The Hope diamond weighs 45.52 carats and has a density of 3.51 g/cm3. What is the volume of this diamond? (1 carat = 200 mg)
  •  ___________ 4. A plastic material weighing 2.2 lb is shaped into a cylinder 13.5 cm in height and 6.8 cm in diameter. Will this object sink or float in water?
  •  ___________ 5. A student fills a 50.0 mL graduated cylinder with 25.0 mL of water, then places a spherical object weighing 54.367 g into the graduated cylinder. The new volume is 41.5 mL. Calculate the density of the object.

2.59 cm3

2.0 g/cm3; sink

3.29 g/mL