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Redox Reactions

Question
CBSEENCH11006781

Balance the following redox reaction by ion-electron method:
stack MnO subscript 4 superscript minus left parenthesis aq right parenthesis space plus space straight I to the power of minus left parenthesis aq with left parenthesis in space basic space medium right parenthesis below right parenthesis space space space rightwards arrow space space space MnO subscript 2 left parenthesis straight s right parenthesis space plus space straight I subscript 2 left parenthesis straight s right parenthesis

Solution

The skeleton equation is:
MnO subscript 4 superscript minus left parenthesis aq right parenthesis space plus space straight I to the power of minus left parenthesis aq right parenthesis space space rightwards arrow space space space MnO subscript 2 left parenthesis straight s right parenthesis space plus space straight I subscript 2 left parenthesis straight s right parenthesis
Separation of the equation in two half reactions
(i) Write the O.N. of the atoms involved in the equation
   -7 -2           -1                 +4 -2    0
   left parenthesis MnO subscript 4 right parenthesis to the power of minus space plus space left parenthesis straight I right parenthesis to the power of minus space space space rightwards arrow space space space space left parenthesis MnO subscript 2 right parenthesis space plus space straight I subscript 2 
(ii) Identify the atoms which undergo a change in O.N.
    +7        -1                    +4         0
left parenthesis MnO subscript 4 right parenthesis to the power of minus space plus space left parenthesis straight I right parenthesis to the power of minus space space space space space rightwards arrow space space space space space left parenthesis MnO subscript 2 right parenthesis space plus space space straight I subscript 2
(iii) Find out the species involved in the oxidation and reduction half-reactions:

Oxidation half-reaction:
                   straight I to the power of minus space space space rightwards arrow space space straight I subscript 2
Reduction half-reaction:
                MnO subscript 4 superscript minus space space rightwards arrow space space space MnO subscript 2
Balancing the oxidation half reaction
                    2 straight I to the power of minus space space space rightwards arrow space space space straight I subscript 2 space plus space 2 straight e to the power of minus
Balancing the reduction half reaction
 The reduction half-reaction is:
                       MnO subscript 4 superscript minus space space rightwards arrow space space space space MnO subscript 2
(i) As the decrease in O.N. is 3, therefore add 3e- on the reactant side
                             MnO subscript 4 superscript minus space plus space 3 straight e to the power of minus space space rightwards arrow space space space MnO subscript 2
(ii) Balance O atoms by adding two H2O molecules on the product side 
               MnO subscript 4 superscript minus space plus space 3 straight e to the power of minus space space rightwards arrow space space space space MnO subscript 2 space plus space 2 straight H subscript 2 straight O
(iii) Balance the charges, by adding four OH- on the product side and balance H atoms by adding four H2O molecules on the reactant side. 
MnO subscript 4 superscript minus plus 3 straight e to the power of minus space plus space 4 straight H subscript 2 straight O space space rightwards arrow space space space MnO subscript 2 space plus space 4 OH to the power of minus space plus space 2 straight H subscript 2 straight O      Thus, the reduction half-reaction is balanced. Adding the two half reactions. In order to equate the electrons, multiply equation. (i) by 3 and equation, (ii) by 2 and add the two equations.


2 straight I to the power of minus space space space rightwards arrow space space space straight I subscript 2 space plus space 2 straight e to the power of minus right square bracket space cross times space 3
MnO subscript 4 superscript minus space plus space 3 straight e to the power of minus space plus space 2 straight H subscript 2 straight O space space rightwards arrow space space space MnO subscript 2 space plus space 4 OH to the power of minus right square bracket space cross times space 2
minus negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative negative
2 MnO subscript 4 superscript minus space plus space 6 straight I to the power of minus space plus space 4 straight H subscript 2 straight O space space space rightwards arrow space space space 3 straight I subscript 2 plus space 2 MnO subscript 2 space plus space 8 OH to the power of minus
o r space 2 MnO subscript 4 superscript minus left parenthesis aq right parenthesis plus 6 straight I to the power of minus left parenthesis aq right parenthesis plus 4 straight H subscript 2 straight O left parenthesis straight l right parenthesis space rightwards arrow space 3 straight I subscript 2 left parenthesis straight s right parenthesis space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space plus space 2 MnO subscript 2 left parenthesis straight s right parenthesis space plus space 8 OH to the power of minus left parenthesis aq right parenthesis
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