154 Chapter 4 Solution Stoichiometry and Types of Reactions
electronic bookkeeping tool is called an oxidation number, which we assign to in-
dividual atoms on the basis of where electrons in a bond are likely to be found.
For example, in the ionic compound NaCl, in which sodium has given an electron
to chlorine, we say that the sodium ion has an oxidation number of +1, because
it has one less electron than the sodium atom. The chloride ion has an oxidation
number of −1, because it has one more electron than the chlorine atom. We use
oxidation numbers to keep track of electrons as they move among atoms, mole-
cules, and ions in redox reactions and, in fact, in all types of reactions. The term
oxidation number is often used interchangeably with the term
oxidation state.
In the iron and oxygen reaction that produces iron(III) oxide,
4Fe → 4Fe
3+
+ 12e
−
(oxidation)
3O
2
+ 12e
−
→ 6O
2−
(reduction)
each iron started as a neutral atom (sometimes noted with a superscript “
0
”, F e
0
)
and was oxidized, losing three electrons, to form Fe
3+
. The oxidation number (or
oxidation state) of the iron is now +3. The oxygen molecule includes two oxygen
atoms that share electrons equally—that is, neither atom exerts a strong prefer-
ence for the bonding electrons—so each oxygen atom is assigned (remember,
we are bookkeepers here!) an oxidation state of 0. When oxygen reacts with
iron, the electrons gained produce oxide ions (O
2−
) that have an oxidation num-
ber of −2.
When atoms are combined to make a molecule, they neither lose nor gain
electrons to form ions. Instead, the electrons in molecules are shared, to one de-
gree or another, between the atoms. Overall, the molecule is electrically neutral,
with a net charge of zero and, therefore, a net oxidation number of 0. However, in
many molecules, there is a tendency for electrons to be closer to the nuclei of
some atoms than of others. For example, in water (H
2
O), there is a marked ten-
dency for the electrons in each of the two hydrogen-to-oxygen bonds to be found
closer to the oxygen nucleus than to the hydrogen nucleus (Figure 4.3). This
behavior is indicated in our electron bookkeeping system by giving oxygen an ox-
idation state of −2. The electron from each hydrogen atom is drawn away from
its nucleus more of the time, and we denote this by giving each hydrogen atom an
oxidation number of +1. Our chemical understanding has led to a host of book-
keeping conventions to assign oxidation numbers to the individual atoms that
make up a molecule. These rules are listed in order of importance in Table 4.5. In
cases where the rules appear to contradict each other, follow the rule that comes
first in the table.
What oxidation numbers would we assign to the carbon and hydrogen atoms
of methane (CH
4
)? By following the rules in Table 4.5, we determine that each hy-
drogen atom has a +1 oxidation number. Because the molecule is neutral overall,
we assign the oxidation number −4 to this carbon atom. The carbon atom in car-
bon monoxide (CO), on the other hand, is assigned a different oxidation number.
According to the rules, the oxygen atom has an oxidation number of −2. The car-
bon atom must, then, have an oxidation number of +2.Carbon monoxide is more
oxidized than methane. The oxidation number of the carbon atom in each com-
pound bears this out.
It is important that we understand the difference between the oxidation
numbers of atoms in molecules and the oxidation numbers of ions in ionic com-
pounds. In molecules, assigning oxidation states is simply an accounting proce-
dure used to keep track of electrons; it does not imply that electrons have really
been lost or gained by any atoms. Remember that we have just assigned the
oxidation numbers on the basis of some simple rules that hypothetically assume
the electrons are transferred when the molecule is made. In ionic compounds, on
the other hand, the oxidation number of an ion is the real charge on the ion.
Video Lesson: Oxidation
Numbers