Simply put, the mole represents a number. Just as the term dozen
refers to the number twelve, the mole represents the number 6.02 x 1023.
(If you're confused by the form of this number refer to our The Metric System
Now that's a big number! While a dozen eggs will make a nice omelet, a mole of eggs will fill all of the oceans on earth more than 30 million times over. Think about it: It would take 10 billion chickens laying 10 eggs per day more than 10 billion years to lay a mole of eggs. So why would we ever use such a big number? Certainly the local donut store is not going to "supersize" your dozen by giving you a mole of jelly-filled treats.
The mole is used when we're talking about numbers of atoms and molecules. Atoms and molecules are very tiny things. A drop of water the size of the period at the end of this sentence would contain 10 trillion water molecules. Instead of talking about trillions and quadrillions of molecules (and more), it's much simpler to use the mole.
The number of objects in one mole, that is, 6.02 x 1023,
is commonly referred to as Avogadro's number. Amadeo Avogadro was
an Italian physics professor who proposed in 1811 that equal volumes of
different gases at the same temperature contain equal numbers of
molecules. About fifty years later, an Italian
scientist named Stanislao Cannizzaro used Avogadro's hypothesis to
develop a set of atomic weights for the known elements by comparing the
masses of equal volumes of gas. Building on this work, an Austrian high
school teacher named Johann Josef Loschmidt calculated the size of a molecule of air
in 1865, and thus developed an estimate for the number of molecules in a
given volume of air. While these early estimates have since been
refined, they led to the concept of the mole - that is, the theory that
in a defined mass of an element (its atomic weight) there is a precise
number of atoms: Avogadro's number.
A sample of any element with a mass equal
to that element's atomic weight (in grams) will contain precisely one mole of atoms
(6.02 x 1023 atoms). For example, helium has an atomic
weight of 4.00. Therefore, 4.00 grams of helium will contain one
mole of helium atoms. You can also work with fractions (or
multiples) of moles:
Mole/Weight Relationship Examples Using Helium
# Helium Atoms
1.505 x 1023
3.01 x 1023
6.02 x 1023
1.204 x 1024
6.02 x 1024
Other atomic weights are listed on the periodic
table (see our Periodic Table page). For each element listed, measuring out a quantity of
the element equal to its atomic weight in grams will yield 6.02 x 1023atoms of that element.
The atomic weight of an element identifies both the mass of one mole of
that element and the total number of protons and neutrons in an atom of
that element. How can that be? Let's look at hydrogen.
One mole of hydrogen atoms will weigh 1.01 grams.
Each hydrogen atom consists of one proton surrounded by one
electron. But remember, the electron weighs so little that it does
not contribute much to an atom's weight. Ignoring the weight of hydrogen's
electrons, we can say that one mole of protons (H nuclei) weighs
approximately one gram. Since protons and neutrons have about the
same mass, a mole of either of these particles will weigh about one gram.
For example, in one mole of helium, there are two moles of protons and two
moles of neutrons - four grams of particles.
If you stand on a scale with a friend, the scale will register the
combined weight of both you and your friend. When atoms form
molecules, the atoms bond together, and the molecule's weight is the
combined weight of all of its parts.
For example, every water molecule (H2O) has two atoms of
hydrogen and one atom of oxygen. One mole of water molecules will
contain two moles of hydrogen and one mole of oxygen.
Mole and Weight Relationships of Water and Its Parts
A bottle filled with exactly 18.02 g water will contain 6.02 x 1023 water molecules. The concept of fractions and multiples
described above also applies to molecules: 9.01 g of water would contain
1/2 mole, or 3.01 x 1023 molecules. You can calculate
the molecular weight of any compound simply by summing the weights of
atoms that make up that compound.
Anthony Carpi, Ph.D. “The Mole” Visionlearning Vol. CHE-1 (5), 2003.
The first hypothesis to present ... is the supposition that the number of integral molecules in any gases is always the same for equal volumes, or always proportional to the volumes. - Amadeo Avogadro 1776-1856