1.

Balance the following equations by oxidation number method (i) Kr_(2)Cr_(2)O_(7) + KI + H_(2)SO_(4) to K_(2)SO_(4) + Cr_(2)(SO_(4))_(3) + I_(2) + H_(2)O (ii)KMnO_(4) + Na_(2)SO_(3) to MnO_(2) + Na_(2)SO_(4) + KOH (iii)Cu + HNO_(3) to Cu(NO_(3))_(2) + H_(2)O (iv)KMnO_(4) + H_(2)C_(2)O_(4) + H_(2)SO_(4) to K_(2)SO_(4) + MnSO_(4) + CO_(2) + H_(2)O

Answer»

Solution :(i)`Kr_(2)Cr_(2)O_(7) + KI + H_(2)SO_(4) to K_(2)SO_(4) + Cr_(2)(SO_(4))_(3) + I_(2) + H_(2)O`
Step 1

Step 2. `K_(2)Cr_(2)O_(7) + 6KI + H_(2)SO_(4) to K_(2)SO_(4) + Cr_(2)(SO_(4))_(3) + 3I_(2) + H_(2)O`
Step 3. To balance other atoms
`K_(2)Cr_(2)O_(7) + 6KI+ H_(2)SO_(4) to 4K_(2)SO_(4) + Cr_(2)(SO_(4))_(3) + 3I_(2) + H_(2)O`
Step 4. To balance oxygen and hydrogen, `H_(2)O` and `H_(2)SO_(4)` are multiplid by 7
`K_(2)Cr_(2)O_(7) + 6KI + 7H_(2)SO_(4) to 4K_(2)SO_(4) + Cr_(2)(SO_(4))_(3) + 3I_(2) + 7H_(2)O`
(ii) `KMnO_(4) + Na_(2)SO_(3) to MnO_(2) + Na_(2)SO_(4) + KOH`

Stpe 2:`2KMnO_(4) + 3Na_(2)SO_(3) to 2MnO_(2) + 3Na_(2)SO_(4) +KOH`
Step 3. BALANCING potassium KOH is multiplies by 2
`2KMnO_(4) + 3Na_(2)SO_(3) to 2MnO_(2) + 3Na_(2)SO_(4) + 2KOH`
Step 4. To balance H atom, `H_(2)O` is added on reactant side.
`2KMnO_(4) + 3Na_(2)SO_(3) + H_(2)O to MnO_(2) + 3Na_(2)SO_(4) + 2KOH`
(III) `Cu + HNO_(3) to Cu(NO_(3))_(2) + NO_(2) + H_(2)O`
Step 1.

Stpe 2. `Cu + 2HNO_(3) to Cu(NO_(3))_(2) +NO_(2) + H_(2)O`
Step 3. To balance Nitrogen `2HNO_(3)` is multiplies by 2 and `NO_(2)` is multiplies by 2
`Cu + 4HNO_(3) to Cu(NO_())_(2) + 2NO_(2) + H_(2)O`
Step 4. To balance oxygen, `H_(2)O` is multiplied by 2
`Cu + 4HNO_(3) to Cu(NO_(3))_(2) + 2NO_(2) + 2H_(2)O`
(iv) `H_(2)C_(2)O_(4) + KMnO_(4) + H_(2)SO_(4) to K_(2)SO_(4) + MnSO_(4) + CO_(2) + H_(2)O`
Step 1

Step 2. `5H_(2)C_(2)O_(4) + KMnO_(4) + H_(2)SO_(4) to K_(2)SO_(4) + MnSO_(4) + 10CO_(2) + H_(2)O`
STEP3. To balance K, `KMnO_(4) ` and `MnSO_(4)` are multiplied by 2
`5H_(2)Cr_(2)O_(4) + 2KMnO_(4) + H_(2)SO_(4) to K_(2)SO_(4) + 2MnSO_(4) + 10CO_(2) + H_(2)O`
Step 4. To balance O and H, `H_(2) O` and `H_(2)SO_(4)` are multiplies by 3 and 6
`5H_(2)C_(2)O_(4) + 2MnSO_(4) + 10CO_(2) + 8H_(2)O`


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