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Question: \(Mn^{3 +}\)ions are unstable in solution and undergo disproportionation to give \(Mn^{2 +},MnO_{2}\...

Mn3+Mn^{3 +}ions are unstable in solution and undergo disproportionation to give Mn2+,MnO2Mn^{2 +},MnO_{2}and H+H^{+}ions. what will be the balanced equation for the reaction?

A

3Mn3++4H2OMnO2+Mn2++8H+3Mn^{3 +} + 4H_{2}O \rightarrow MnO_{2} + Mn^{2 +} + 8H^{+}

B

Mn3++4H2OMnO2+4H+Mn^{3 +} + 4H_{2}O \rightarrow MnO_{2} + 4H^{+}

C

Mn+2H2OMnO2+4H+Mn + 2H_{2}O \rightarrow MnO_{2} + 4H^{+}

D

2Mn3++2H2OMnO2+Mn2++4H+2Mn^{3 +} + 2H_{2}O \rightarrow MnO_{2} + Mn^{2 +} + 4H^{+}

Answer

2Mn3++2H2OMnO2+Mn2++4H+2Mn^{3 +} + 2H_{2}O \rightarrow MnO_{2} + Mn^{2 +} + 4H^{+}

Explanation

Solution

: Skeletal equation is

Mn3+Mn2++MnO2+H+Mn^{3 +} \rightarrow Mn^{2 +} + MnO_{2} + H^{+} (gSA)

Oxidation half equation: Mn3+MnO2+4Mn^{3 +} \rightarrow \overset{+ 4}{MnO_{2}}

or Mn3++2H2OMnO2+4H++eMn^{3 +} + 2H_{2}O \rightarrow MnO_{2} + 4H^{+} + e^{-} ….(i)

Reduction half equation: Mn3+Mn2+Mn^{3 +} \rightarrow Mn^{2 +}

or Mn3++eMn2+Mn^{3 +} + e^{-} \rightarrow Mn^{2 +} …..(ii)

Adding eq. (i) and (ii) the balanced equation is

2Mn3++2H2OMnO2+Mn2++4H+2Mn^{3 +} + 2H_{2}O \rightarrow MnO_{2} + Mn^{2 +} + 4H^{+}