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Balancing Equations by the Method of Oxidation-Reduction

Posted by Jim Clark on 22nd May and posted in Tutorial

Preliminaries: You might wish to review oxidation numbers before continuing
An oxidation-reduction reaction is a reaction in which some atoms oxidation numbers change.
Reaction (1) is an oxidation-reduction reaction because H changes from 0 to +1; O changes from 0 to -2 0        0     +1 -2
(1) H2 + O2 ® H2O
Reaction (2) is not an oxidation-reduction reaction because the oxidation numbers do not change +1-2+1   +1-1     +1-1    +1-2
(2) NaOH + HCl ® NaCl + H2O
Some definitions
The atom oxidized: the atom whose oxidation number increases In reaction (1), H
The atom reduced: the atom whose oxidation number decreases In reaction (1), O
The half reactions show the gain or loss of electrons by one atom (oxidized or reduced):
The oxidation half reaction: H0 - 1 e- ® H+1
The reduction half reaction: O0 + 2 e- ® O-2
The oxidizing agent is the reactant containing the atom reduced In reaction (1), O2
The reducing agent is the reactant containing the atom oxidized In reaction (1), H2
Balancing an oxidation-reduction reaction
Find the number of electrons gained and lost by the agents. Each H2 loses 2 e-, since each H loses 1 e-;
Each O2 gains 4 e-, since each O gains 2.
Select coefficients in front of them so that the numbers of electrons gained and lost are equal.

-2e- +4e-
H2 + O2 ® H2O Therefore
2 H2’s will supply 4 e- to 1 O2
2 H2 + O2 ® H2O

Now complete the balanced equation in the usual way, by placing a 2 before H2O 2 H2 + O2 ® 2 H2O

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