half cell method -- is essentially the same as a redox reaction.
there are always 2 reactions in a redox reaction, namely the reduction reaction and oxidation reaction.
reduction can be defined as the gain of electrons in an atom, or the decrease in oxidation state of an atom.
oxidation can be defined as the loss of electrons in an atom, or the increase in oxidation state of an atom.
an example is the oxidation of iron in iron (II) sulphate by hydrogen peroxide.
the equation at first glance, is
H2O2 + FeSO4 --> H2O + Fe2(SO4)3
(1) if u seperate the reduction and oxidation reactions u'll get
H2O2 --> H2O
Fe2+ --> Fe3+
note that SO4- is not counted. it is a spectator ion and hence is not reduced or oxidised.
(2) now to balance them. first consider that all the atoms are balanced. (except for hydrogen and oxygen)
no balancing needed here, but u know what to do next time.
(3) balance oxygen by adding H2O
H2O2 --> 2H2O
(4) balance hydrogen by adding H+
2H+ + H2O2 --> 2H2O
(5) balance charges by adding electrons.
2H+ + 2e- + H2O2 --> 2H2O
Fe2+ --> Fe3+ + e-
VOILA! both half reactions are balanced.
now to combine them. remember, charge conversation requires charges on both sides to be equal. this can be done by ensuring the number of electrons on both sides of the equation are equal;
overall electron gain = overall electron loss
so we get
2H+ + 2e- + H2O2 --> 2H2O
2Fe2+ --> 2Fe3+ + 2e-
combining now...
2H+ + 2e- + 2Fe2+ + H2O2 --> 2H2O + 2Fe3+ + 2e-
removing electrons...
2H+ + 2Fe2+ + H2O2 --> 2H2O + 2Fe3+
if u want u can add the SO42- which will give us..
H2SO4 + 2FeSO4 + H2O2 --> 2H2O + Fe2(SO4)3
and there u have it, u're done!
NOTE: the above method is for reactions taking place in acidic medium. for basic and neutral mediums, , different methods are used.