1.

The Mn^(3+) ion is unstable in solution and undergoes disproportionation to give Mn^(2+) , MnO_(2) and H^(+) ion. Write a balanced ionic equation for the reaction.

Answer»

Solution :The skeletal equation is:
`Mn_(aq)^(3+) RARR Mn_(aq)^(2+) + MnO_(2_((s))) + H_((aq))^(+)`
Oxidation HALF equation:
`Mn_((aq))^(3+) rarrMnO_(2_((s)))`
Balance O.N. by adding electrons,
`Mn_((aq))^(3+) rarrMnO_(2((s))) + e^(-)`
Balance charge by adding `4H^(+)`ions
Balance O atoms by adding `2H_(2)O`
`Mn_((aq))^(3+)+2H_(2)OrarrMnO_(2((s)))+4H_((aq))^(+)+e^(-)`
Balance O atoms by adding `2H_(2)O`
`Mn_((aq))^(3+)+2H_(2)O_((l))rarrMnO_(2((s)))+4H_((aq))^(+)+e^(-)`.......................(1)
Reduction half equation:
`Mn^(3+)rarrMn^(2+)`
Balance O.N. by adding electrons:
` Mn_((aq))^(3+) + e^(-) rarr Mn_((aq))^(2+)` ..............(2)
Adding Equation (1) and (2), the balanced equation for the disproportionation reaction is
`2Mn_((aq))^(3+)+2H_(2)O_((l)) rarr MnO_(2_((s)))+Mn_((aq))^(2+)+4H_((aq))^(+)`


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