PbO2 + Cl- = Pb(OH)3 + ClO-

how to balance this reaction by half reaction method?

Divide the given reaction into two half reactions:

Reduction half reaction: PbO2 → Pb(OH)3-

Oxidation half reaction:  Cl-  → ClO-

Since other atoms are balanced, balance O and H atoms by adding H+ and H2O in both equations:

PbO2  + H+ + H2O → Pb(OH)3-

Cl-  + H2O → ClO- + 2H+

Balance charge by adding electrons in both the reactions:

PbO2  + H+ + H2O + 2e → Pb(OH)3-

Cl-  + H2O → ClO- + 2H+ + 2e

Since the number of electrons lost and gained are same, add both the reactions:

PbO2+ 2 H2O +Cl- → Pb(OH)3-+ ClO- + H+

The reaction occurs in basic medium, so add OH- on both sides of the equation:

PbO2 + 2 H2O +Cl- + OH- → Pb(OH)3-  + ClO- + H+  + OH-

PbO2 + 2 H2O +Cl- + OH- → Pb(OH)3-  + ClO- + H2O  ( since  H-+ + OH- = H2O)

The balanced equation is:

PbO2 + H2O +Cl- + OH- → Pb(OH)3+ ClO-

 

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