1.

Balance the following equation in basic medium by ion-electron method and oxidation number methods & Identify the oxidising agent of & the reducing agent. CI_(2)O_(7)(g)+H_(2)O_(2)(aq)toCIO(2)^(-)(aq)+O_(2)(g)+H^(+)

Answer»

Solution :Ion -electron method :
Oxidation reaction: `H_(2)O_(2)(aq)toO_(2)(g)`
Adding `2OH^(-)`ions to the left hand side in ORDER to balance H and O-atoms on both sides ,we have
`H_(2)O_(2)(aq)+2OH^(-)(aq)to2H_(2)O(l)+O_(2)(g)`
Balancing charge on both sides ,we have
`H_(2)O_(2)(aq)+2OH^(-)(aq)to2H_(2)O(l)+O_(2)(g)+2e`
Reduction reactions : `CI_(2)O_(7)(g)toCIO_(2)^(-)`
Balancing CI-atoms ,we have `CI_(2)O_(7)(g)to2CIO_(2)^(-)(aq)`
To balancing O-atoms we add `3OH^(-)` to the right hand side : `CI_(2)O_(7)(g)to2CIO_(2)^(-)(aq)+3OH^(-)(aq)`.
To balance H- atoms ,we add `3H_(2)O` tothe left hand side and `3OH^(-)` to the right hand side .
`CI_(2)O_(7)(g)+3H_(2)O(l)to2CIO_(2)^(-)(aq) +6OH^(-)(aq)`
Balancing charge on both sides we,have
`CI_(2)O_(7)(g)+3H_(2)O(l)+8eto2CIO_(2)^(-)(aq)+6H^(-)(aq)`
Multiplying equation (1) by 4 and then adding it to equation (2),we have
`CI_(2)O_(7) (g)+4H_(2)O_(2)(aq)+2OH^(-)(aq)to2CIO_(2)^(-)(aq)+5H_(2)O(l)+4O_(2)(g)`
This is the balanced equation for the reaction.
Oxidation number method :
`overset(+7)(C)I_(2)O_(7)(g)+overset(-1)H_(2)O_(2)(aq)tooverset(+3)CIO_(2)^(-)(aq) +overset(0)O_(2)(g)`
In the reaction toal decrease in oxidation number for 2CI atoms is `2xx4=8 ` unit and total increases in oxidation number for 2O atoms is 2xx1=3 unit
So ,the ratio of increases to decreases in oxidation number is 2:8=1:4
To balance the increase and decrease in oxdation number ,we MULTIPLY `H_(2)O_(2)`by 4.
`CI_(2)O_(7)(g)+4H_(2)O_(2)(aq) toCIO_(2)^(-)(aq)+O_(2)(g)`
Balancing CI- atoms ,we have
`CI_(2)O_(7)(g)+4H_(2)O_(2)(aq) to2CIO_(2)^(-)(aq)+O_(2)(g)`
To balancing H- atoms ,we add `2OH^(-)` to the left hand side and `5H_(2)O` to the right hand side.
`CI_(2)O_(7)(g)+4H_(2)O_(2)(aq)+2OH^(-)(aq) to 2CIO_(2)^(-)(aq)+5H_(2)O(l)+4O_(2)(g)`
balancing o-atoms ,we have
`CI_(2)O_(7)(g)+4H_(2)O_(2)(aq)to2CIO_(2)^(-)(aq)+5H_(2)O(l)+4O_(2)(g)`
This is the balanced equation for the reaction.


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