NCERT Class XI Chemistry Redox Reactions Solutions

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Question : 18
Total: 30
Balance the following redox reactions by ion - electron method :
(a) MnO4(aq)+I(aq)MnO2(s)+I2(s) (in basic medium)
(b) MnO4(aq)+SO2(g)Mn(aq)2++HSO4(aq) (in acidic solution)
(c) H2O2(aq)+Fe(aq)2+Fe(aq)3++H2O(l) (in acidic solution)
(d) Cr2O72+SO2(g)Cr(aq)3++SO42(aq) (in acidic solution)
Solution:  
(a) The skeleton equation is : MnO4(aq)+I(aq)MnO2(s)+I2(s)
(i) The O.N. of the atoms involved in the equation is:
(
+7
Mn
4
O4
)
+
1
I
+4
Mn
2
O2
+
0
I2

(ii) The species involved in the oxidation and reduction half reaction :

(iii) Oxidation half reaction : II2
Reduction half reaction : MnO4MnO2
(iv) Balancing the oxidation half reaction 2II2+2e ...(i)
(v) Balancing the reduction half reaction
(1) As the decrease in O.N. is 3, therefore, adding 3e– on the reactant side
MnO4+3eMnO2
(2) To balance the oxygen atoms, add two H2O molecules on the product side
MnO4+3eMnO2+2H2O
(3) To balance the charges, add 4 OH on the product side. Then to balance H atoms, add four H2O molecules on the reactant side.
MnO4+3e+4H2OMnO2+4OH+2H2O
MnO4+3e+2H2OMnO2+4OH ...(ii)
Thus, the reduction half reaction is balanced.
(vi) Adding the two half reactions
In order to equate the electrons, multiply eqn. (i) by 3 and eqn. (ii) by 2.
Add the two equations.
[2II2+2e]×3
[MnO4+3e+2H2OMnO2+4OH] × 2
–––––––––––––––––––––––––
2MnO4+6I+4H2O3I2+2MnO2+8OH
or 2MnO4(aq)+6I(aq)+4H2O(l)3I2(s)+2MnO2(s)+8OH(aq)
(b) The skeleton equation is : MnO4(aq)+SO2(g)Mn(aq)2++HSO4(aq)
(i) The O.N. of atoms involved in the equation is :
+7
Mn
2
O4
+
+4
S
2
O2
+2
Mn2+
+
+1
H
+6
S
2
O4

(ii) The species involved in the oxidation and reduction half reactions :

(iii) Oxidation half reaction : SO2HSO4
Reduction half reaction : MnO4Mn2+
(iv) Balancing the oxidation half reaction
(1) As the increase in O.N. is 2, therefore, add two electrons on the product side to balance change in O.N. SO2HSO4+2e
(2) In order to balance the number of oxygen atoms, add two H2O molecules on the reactant side and then to balance H atoms add 3H+ on the product side.
SO2+2H2OHSO4+3H++2e ... (i)
(v) Balancing the reduction half reaction
The reduction half reaction is : MnO4Mn2+
(1) As the decrease in O.N. is 5, therefore add 5e on the reactant side,
MnO4+5eMn2+
(2) In order to balance the no. of oxygen atoms, add four H2O molecules on the product side and then to balance H atoms add 8 H+ on the reactant side.
MnO4+8H++5eMn2++4H2O ... (ii)
(vi) Adding the two half, reactions
In order to equate the electrons, multiply eqn. (i) by 5 and eqn. (ii) by 2.
Add the two eqns.
[SO2+2H2OHSO4+3H++2e] × 5
[MnO4+8H++5eMb2++4H2O] × 2
––––––––––––––––––––––––
2MnO4(aq)+5SO2(g)+2H2O(l)+H(aq)+
5HSO4(aq)+2Mn(aq)2+
(c) Oxidation half equation : Fe(aq)2+Fe(aq)3++e ... (i)
Reduction half equation : H2O2(aq)+2H(aq)++2e2H2O(l) ... (ii)
Multiplying eqn. (i) by 2 and adding it to eqn. (ii), we get
H2O2(aq)+2Fe(aq)2++2H(aq)+2Fe(aq)3++2H2O(l)
(d) Oxidation half equation : SO2(g)+2H2O(l)SO42(aq)+4H(aq)++2e ... (i)
Reduction half equation :
Cr2O72(aq)+14H(aq)++6e2Cr(aq)3++7H2O(l) ... (ii)
Multiplying eqn. (i) by 3 and adding to eqn. (ii) we get,
Cr2O72(aq)+3SO2(g)+2H(aq)+2Cr(aq)3++3SO42(aq)+H2O(l)
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