Answer :
Answer:
Total 14 electrons are transferred.
Explanation:
Oxidation reaction is defined as the chemical reaction in which an atom looses 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]ClO_4^-(aq)+NO_2(g)\rightarrow Cl_2(g)+NO_3^-(aq)[/tex]
The half cell reactions for the above reaction follows:
Oxidation half reaction: [tex]NO_2+H_2O\rightarrow NO_{3}+e^-+2H^+[/tex]
Reduction half reaction: [tex]2ClO_4^{-}+14e^-+16H^+\rightarrow Cl_2+8H_2O[/tex]
As, [tex]NO_2[/tex] is loosing 1 electron and [tex]ClO_4^{-}[/tex] is gaining 14 electrons. Thus,
Balancing this:-
Oxidation half reaction: [tex]14NO_2+14H_2O\rightarrow 14NO_{3}+14e^-+28H^+[/tex]
Reduction half reaction: [tex]2ClO_4^{-}+14e^-+16H^+\rightarrow Cl_2+8H_2O[/tex]
Hence, total 14 electrons are transferred.