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