Example 11.2
Identify the oxidants and reductants in the following redox reactions.
a) C
H 12
O 22
(s) + 12O 11
(g) 2
→
12CO
(g) + 11H 2
O(l) 2
O^2
is elemental and is the oxidant as the
oxidation state of O changes from 0 in O
to -2 2
on the right. C
H 12
O 22
is the reducing agent. Assigning oxidation states of +1 to H and -2 11
to O allows us to determine that C is zero in C
H 12
O 22
, while it is +4 in CO 11
. Each of the 2
24 O atoms in 12O
undergoes a two-electron oxidation (0 to -2), so it is a 48-electron 2
reduction. Similarly, each of t
he 12 C atoms undergoes a four-ele
ctron oxidation (0 to +4),
so it is a 48-electron oxidat
ion.* Thus, n = 48 electrons.
* This is a redox reaction that d
oes not involve an electron transfer
because the transfer of 48 electrons requires the formation of C
4+ and
2-O
ions, while all of the product and reactant bonds are covalent, and
all of the atoms have zero formal charge. The bonds become more polar but not ionic, so electrons
move
away from carbon atoms and
toward oxygen atoms, but
they are not transferred.
b) 3Cu(s) + 2NO
1- 3
(aq) + 8H
1+(aq)
→
3Cu
2+(aq) + 2NO(g) + 4H
O(l) 2
Elemental copper undergoes a two-electron oxi
dation from 0 to +2, so it is the reducing
agent. Each of the three Cu atoms undergoes a tw
o-electron oxidation, so this is a 3 x 2 =
6 electron oxidation. NO
1- is then identified as the oxi 3
dant. The oxidation state of N
changes from +5 in NO
1- 3
to +2 in NO. Each N undergoes a three-electron reduction so
this is a 2 x 3 = 6 electron r
eduction. Consequently, n = 6.
Example 11.3
How many electrons are required for the reduction of 0.15 mol of Cr
O 2
2- to Cr 7
3+?
First, balance the Cr atoms in the electron transfer: Cr
O 2
2- 7
→
2Cr
3+^
The oxidation state of chromium is +6 in Cr
O 2
2- and +3 in Cr 7
3+, so 3 mol electrons are
required for
each
mole of Cr. Use the factor-label meth
od to determine moles of electrons.
27
0.15 mol Cr O
2-
2 mol Cr
×
27
1 mol Cr O
1-
2-
3 mol e×1 mol Cr
1-
= 0.90 mol e
11.2
HALF-REACTIONS A redox reaction can be written as the sum of
two half-reactions: oxi
dation and reduction.
The two half-reactions for the reaction of iron and copper (II) are:
Oxidation half-reaction:
Fe
→
Fe
2+ + 2e
1-^
Reduction half-reaction:
Cu
2+ + 2e
1-^
→
Cu
Net redox reaction:
Cu
2+ + Fe
→
Cu + Fe
2+^
The two half-reactions indicate the changes that
occur in each of the two redox couples. In
this reaction, two electrons are given up in
the oxidation half-reaction, and two electrons
Chapter 11 Electron Transfer and Electrochemistry