Answer:
The half-reaction for the oxidation of the manganese in [tex]MnCO_3(s)[/tex] to [tex]MnO_2(s)[/tex].:
[tex]MnCO_3+2H_2O\rightarrow MnO_2(s)+HCO_3^{-}+3H^+[/tex]
Explanation:
[tex]MnCO_3+H_2O\rightarrow MnO_2(s)+HCO_3^{-}[/tex]
Let us say the medium in which reaction is taking place is an acidic medium. And balancing in an acidic mediums done as;
Step 1: Balance all the atom beside oxygen and hydrogen atom;
[tex]MnCO_3+H_2O\rightarrow MnO_2(s)+HCO_3^{-}[/tex]
Manganese and carbon are balanced.
Step 2: Balance oxygen atom adding water on the required side:
[tex]MnCO_3+H_2O+H_2O\rightarrow MnO_2(s)+HCO_3^{-}[/tex]
[tex]MnCO_3+2H_2O\rightarrow MnO_2(s)+HCO_3^{-}[/tex]
Step 3: Now balance hydrogen atom by adding hydrogen ion on the required side:
[tex]MnCO_3+2H_2O\rightarrow MnO_2(s)+HCO_3^{-}+3H^+[/tex]