8.23  Chlorine is used to purify drinking water. Excess of chlorine is harmful. The excess of chlorine is removed by treating with sulphur dioxide. Present a balanced equation for this redox change taking place in water

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Answer-

Base equation-  SO_{2}+Cl_{2}\rightarrow Cl^{-}+SO_{4}^{2-}--------------(have to remember)

Now we have to balance the oxidation half and reduction half.

oxidation halfSO_{2}\rightarrow SO_{4}^{2-}

balancing-  Oxygen is balanced by adding water molecule, Hydrogen is balanced by H^{+} ion and for charge add e^{-}(electron)SO_{2} +2H_{2}O\rightarrow SO_{4}^{2-}+4H^{+}+2e^{-}

Reduction hallfCl_{2}\rightarrow Cl^{-}

Balancing-  to balance charge add an electron   Cl_{2}+2e^{-}\rightarrow 2Cl^{-}

Now add both balanced oxidation half and reduction half,  we get 

Cl_{2}+SO_{2}+2H_{2}O\rightarrow 2Cl^{-}+SO_{4}^{2-}+4H^{+}

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