Answer:
The coefficient of [tex]Sn(OH)_3^{-}[/tex] is 3 in the balanced redox reaction.
Explanation:
Oxidation reaction is defined as the chemical reaction in which an atom loses its electrons. The oxidation number of the atom gets increased during this reaction.
[tex]X\rightarrow X^{n+}+ne^-[/tex]
Reduction reaction is defined as the chemical reaction in which an atom gains electrons. The oxidation number of the atom gets reduced during this reaction.
[tex]X^{n+}+ne^-\rightarrow X[/tex]
For the given chemical reaction:
[tex]Bi(OH)_3+Sn(OH)_3^{-}\rightarrow Sn(OH)6^{2-}+Bi[/tex]
The half cell reactions for the above reaction follows:
Oxidation half reaction: [tex]Sn(OH)_3^{-}+3OH^-\rightarrow Sn(OH)6^{2-}+2e^-[/tex]
Reduction half reaction: [tex]Bi(OH)_3+3e^-\rightarrow Bi+3OH^-[/tex]
To balance the oxidation half reaction must be multiplied by 3 and reduction half reaction must be multiplied by 2 thus, the balanced equation is:-
[tex]3Sn(OH)_3^{-}+3OH^-+2Bi(OH)_3\rightarrow 3Sn(OH)6^{2-}+2Bi[/tex]
The coefficient of [tex]Sn(OH)_3^{-}[/tex] is 3 in the balanced redox reaction.