Answer:
Hi, the given equation has some missing parts. Actual equation is- '[tex]Mn(OH)_{2}(s)+MnO_{4}^{-}(aq.)\rightarrow MnO_{4}^{2-}(aq.)[/tex]'
balanced equation: [tex]Mn(OH)_{2}(s)+4MnO_{4}^{-}(aq.)+6OH^{-}(aq.)\rightarrow 5MnO_{4}^{2-}(aq.)+4H_{2}O(l)[/tex]
Explanation:
[tex]Mn(OH)_{2}(s)\rightarrow MnO_{4}^{2-}(aq.)[/tex]
Balance O and H in basic medium: [tex]Mn(OH)_{2}(s)+6OH^{-}(aq.)\rightarrow MnO_{4}^{2-}(aq.)+4H_{2}O(l)[/tex]
Balance charge: [tex]Mn(OH)_{2}(s)+6OH^{-}(aq.)-4e^{-}\rightarrow MnO_{4}^{2-}(aq.)+4H_{2}O(l)[/tex] ........(1)
[tex]MnO_{4}^{-}(aq.)\rightarrow MnO_{4}^{2-}(aq.)[/tex]
Balance charge: [tex]MnO_{4}^{-}(aq.)+e^{-}\rightarrow MnO_{4}^{2-}(aq.)[/tex] .....(2)
[tex][equation(2)\times 4]+[equation (1)]:[/tex]
[tex]Mn(OH)_{2}(s)+4MnO_{4}^{-}(aq.)+6OH^{-}(aq.)\rightarrow 5MnO_{4}^{2-}(aq.)+4H_{2}O(l)[/tex]
[tex]OH^{-}(aq.)[/tex] is present on the left hand side of balanced equation and it's coefficient is 6