DENSITY is defined in a qualitative manner as the measure
of the relative "heaviness" of objects with a constant
volume.
Both cans say 12 fl. oz. (fluid onces) or 355 mL. So they
appear to be the same size and weight so should have the same
density.
Density Comparison to Water: In chemistry, the density
of many substances is compared to the density of water. Does
an object float on water or sink in the water?
Put both cans into a large container of water to observe the
behavior of each in water.
Look at the graphic on the right. Which type of Coke is floating?
Sinking?
Comparison of:
Classic Coke
Diet Coke
355 mL
355 mL
Water = 355 g
Water = 355 g
Sugar = 39 g
Sugar = 0 g
Nutra Sweet = 0 g
Nutra Sweet = 0.1g
Tot. Wgt. = 394 g
Tot. Wgt. = 355.1 g
Mathematical Definition of Density
The formal definition of density is mass per unit volume.
Usually the density is expressed in grams per mL or cc. Mathematically
a "per" statement is translated as a division. cc is
a cubic centimeter and is equal to a mL Therefore,
Density =
mass =
g/mL
volume
Example: Calculate the density
in g/mL of Classic Coke if a 355 mL can weighs 394 g.
Solution:
Apply the definition:
Density =
394 g =
1.11 g/mL
355 mL
Example: Calculate the density in g/mL
of Diet Coke if a 355 mL can weighs 355.1 g.
Solution:
Apply the definition:
Density =
355.1 g =
1.00 g/mL
355 mL
The above calculations make the asumption
that the weight of the aluminum can is constant.