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Karnataka Board PUCPUC Science Class 11

Balance the following equation in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducing agent. ClX2OX7(g)+HX2OX2(aq)⟶ClOX−X2(aq)+OX2

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Question

Balance the following equation in basic medium by ion-electron method and oxidation number methods and identify the oxidising agent and the reducing agent.

\[\ce{Cl_2O_{7(g)} + H_2O_{2(aq)} -> ClO-_{2(aq)} + O_{2(g)} + H+_{(aq)}}\]

Long Answer
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Solution

The oxidation number of Cl decreases from + 7 in Cl2O7 to + 3 in `"ClO"_2^-` and the oxidation number of O increases from – 1 in H2O2 to zero in O2. Hence, in this reaction, Cl2O7 is the oxidizing agent and H2O2 is the reducing agent.

Ion–electron method:

The oxidation half equation is:

\[\ce{H2 ^{-1}O_{2(g)} -> ^{0}O_{2(g)}}\]

The oxidation number is balanced by adding 2 electrons as:

\[\ce{H_2O_{2(aq)} -> O_{2(g)} + 2e-}\]

The charge is balanced by adding 2OHions as:

\[\ce{H_2O_{2(aq)} -> + 2OH-_{(aq)} -> O_{2(g)} + 2e-}\]

The oxygen atoms are balanced by adding 2H2O as:

\[\ce{H_2O_{2(aq)} + 2OH-_{(aq)} -> O_{2(g)} + 2H_2O_{(l)} + 2e-}\]  ....(i)

The reduction half equation is:

\[\ce{^{+7}Cl2O_{7(g)} -> ^{+3}ClO-_{2(aq)}}\]

The Cl atoms are balanced as:

\[\ce{Cl2O_{7(g)} -> 2ClO-_{2(aq)}}\]

The oxidation number is balanced by adding 8 electrons as:

\[\ce{Cl2O_{7(g)} + 8e- -> 2ClO-_{2(aq)}}\]

The charge is balanced by adding 6OH as:

\[\ce{Cl_2O_{7(g)} + 8e- -> 2ClO-_{2(aq)} + 6OH-_{(aq)}}\]

The oxygen atoms are balanced by adding 3H2O as:

\[\ce{Cl_2O_{7(g)} + 3H_2O_{(l)} 8e- ->  2ClO-_{2(aq)} + 6OH-_{(aq)}}\]   (ii)

The balanced equation can be obtained by multiplying equation (i) with 4 and adding equation (ii) to it as:

\[\ce{Cl_2O_{7(g)} + 4H_2O_{2(aq)} + 2OH-_{aq)}  -> 2ClO-_{2(aq)} + 4O_{2(g)} + 5H_2O_{(l)}}\]

Oxidation number method:

Total decrease in oxidation number of Cl2O= 4 × 2 = 8

Total increase in oxidation number of H2O2 = 2 × 1 = 2

By multiplying H2O2 and O2 with 4 to balance the increase and decrease in the oxidation number, we get:

\[\ce{Cl_2O_{7(g)} + 4H_2O_{2(aq)} -> ClO-_{2(aq)} + 4O_{2(g)}}\]

The Cl atoms are balanced as:

\[\ce{Cl_2O_{7(g)} + 4H_2O_{2(aq)} -> 2ClO-_{2(aq)}+ 4O_{2(g)}}\]

The O atoms are balanced by adding 3H2O as:

\[\ce{Cl_2O_{7(g)} + 4H_2O_{2(aq)} -> 2ClO-_{2(aq)} + 4O_{2(g)} + 3H_2O_{(l)}}\]

The H atoms are balanced by adding 2OH and 2H2O as:

\[\ce{Cl_2O_{7(g)} + 4H_2O_{2(aq)} + 2OH-_{(aq)} -> 2ClO-_{2(aq)} + 4O_{2(g)} + 5H_2O_{(l)}}\]

This is the required balanced equation.

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Chapter 7: Redox Reactions - EXERCISES [Page 282]

APPEARS IN

NCERT Chemistry Part 1 and 2 [English] Class 11
Chapter 7 Redox Reactions
EXERCISES | Q 8.19 - (c) | Page 282

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