4-4 Density

 Density is the amount of matter in a given unit of volume.  It can be measured in grams per cubic centimeter (g/cm3).   It is a measure of how tightly packed the atoms of a substance are.  When we say that ice is less dense than water, we mean that the water molecules are more tightly packed when they are in the liquid state.  The formula for determining density is                                                             

 or

One always hears that muscle is denser that fat.  This means that I can work out, not lose weight and still lose inches off my waist.  This is because 1 pound of muscle will take up less space than 1 pound of fat.

Mass is typically measured in grams.  Volume is typically measured in ml which is the same thing as cm3 (or cubic centimeters of cc.  1 ml = 1 cm3 = 1 cc)

The density of water is 1.00 g/ml.  The density of some common elements are shown below:

 

            Densities of selected elements           

element

density (g/cm3)

appearance

aluminum

2.70

silvery white, metallic

antimony

6.68

silvery white, metallic

cadmium

8.64

silvery white, metallic

carbon (graphite)

2.25

black, dull

chromium

7.2

steel gray, hard

cobalt

8.9

silvery gray, metallic

Copper

Gold

8.92

19.3

reddish, metallic

yellow, metallic

iron

7.86

silver, metallic

lead

11.3

silvery-bluish white, soft, metallic

manganese

7.2

gray pink, metallic

Nickel

Platinum

8.9

21.4

silver, metallic

silver, metallic

silicon

2.32

steel gray, crystalline

silver

10.5

silver, metallic

tin (gray)

5.75

gray

tin (white)

7.28

white metallic

Zinc

7.14

bluish white, metallic

 

Sample problem:  A solid has a mass of 128 g.  It is a rectangular solid 1.0 cm by 2.0 cm by 3.0 cm.  What is the density of the solid and what metal is it?

Volume = length x width x height = 1 cm x 2 cm x 3 cm = 6 cm3 or 6 ml.

D= M/V = 128 g / 6 ml=  21.4 g/ml

The metal must be platinum!

 

One can see the usefulness of densities for determining types of metals at this web site:

http://www.24carat.co.uk/densityofgoldandothermetals.html