Balancing of Redox Reactions
CHXI08:REDOX REACTIONS

315106 For the redox reaction
\(\rm{\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}}\)
The correct coefficient of the reactants for the balanced equation are
\(\,\,\,\,{\rm{MnO}}_{\rm{4}}^{\rm{ - }}\quad {{\rm{C}}_{\rm{2}}}{\rm{O}}_{\rm{4}}^{{\rm{2 - }}}\quad {{\rm{H}}^{\rm{ + }}}\)

1 \(\,\,\,\,\,{\rm{2}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{5}}\)
2 \(\,\,\,\,{\rm{5}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{2}}\)
3 \(\,\,\,\,\begin{array}{*{20}{l}}
{\rm{2}}&{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{5}}}&{\,\,\,\,{\rm{16}}}
\end{array}\)
4 \(\,\,16{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,2\)
CHXI08:REDOX REACTIONS

315073 \(\begin{array}{l}
{\rm{F}}{{\rm{e}}^{2 + }} \to {\rm{F}}{{\rm{e}}^{3 + }} + {{\rm{e}}^ - }\\
{\rm{MnO}}_4^ - + {\rm{5}}{{\rm{e}}^ - } \to {\rm{M}}{{\rm{n}}^{2 + }}
\end{array}\)
The ratio of stoichiometric coefficient of \({\rm{F}}{{\rm{e}}^{2 + }}\) and \({\rm{MnO}}_4^ - \)

1 \(1:5\)
2 \(5:1\)
3 \(2:3\)
4 \(6:1\,\)
CHXI08:REDOX REACTIONS

315076 Dichlorine heptaoxide \(\mathrm{\left(\mathrm{Cl}_{2} \mathrm{O}_{7}\right)}\) in gaseous state combines with an aqueous solution of hydrogen peroxide in acidic medium to give chlorite ion \(\mathrm{\left(\mathrm{ClO}_{2}^{-}\right)}\)and oxygen gas.
The balanced chemical equation for the reaction is

1 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
2 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
3 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
4 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+2 \mathrm{H}_{2} \mathrm{O}}\)
CHXI08:REDOX REACTIONS

315070 In the redox reaction,
\[\begin{array}{l}
{\rm{xKMn}}{{\rm{O}}_{\rm{4}}} + {\rm{N}}{{\rm{H}}_3} \to {\rm{yKN}}{{\rm{O}}_{\rm{3}}} + {\rm{Mn}}{{\rm{O}}_{\rm{2}}}\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + {\rm{KOH}} + {{\rm{H}}_{\rm{2}}}{\rm{O}}
\end{array}\]
x and y are

1 x=4,y=6
2 x=3,y=8
3 x=8,y=6
4 x=8,y=3
CHXI08:REDOX REACTIONS

315071 The number of electrons involved in the reduction of \(\mathrm{\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}}\) ion in acidic solution to \(\mathrm{\mathrm{Cr}^{+}}\)is

1 3
2 4
3 2
4 6
CHXI08:REDOX REACTIONS

315106 For the redox reaction
\(\rm{\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}}\)
The correct coefficient of the reactants for the balanced equation are
\(\,\,\,\,{\rm{MnO}}_{\rm{4}}^{\rm{ - }}\quad {{\rm{C}}_{\rm{2}}}{\rm{O}}_{\rm{4}}^{{\rm{2 - }}}\quad {{\rm{H}}^{\rm{ + }}}\)

1 \(\,\,\,\,\,{\rm{2}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{5}}\)
2 \(\,\,\,\,{\rm{5}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{2}}\)
3 \(\,\,\,\,\begin{array}{*{20}{l}}
{\rm{2}}&{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{5}}}&{\,\,\,\,{\rm{16}}}
\end{array}\)
4 \(\,\,16{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,2\)
CHXI08:REDOX REACTIONS

315073 \(\begin{array}{l}
{\rm{F}}{{\rm{e}}^{2 + }} \to {\rm{F}}{{\rm{e}}^{3 + }} + {{\rm{e}}^ - }\\
{\rm{MnO}}_4^ - + {\rm{5}}{{\rm{e}}^ - } \to {\rm{M}}{{\rm{n}}^{2 + }}
\end{array}\)
The ratio of stoichiometric coefficient of \({\rm{F}}{{\rm{e}}^{2 + }}\) and \({\rm{MnO}}_4^ - \)

1 \(1:5\)
2 \(5:1\)
3 \(2:3\)
4 \(6:1\,\)
CHXI08:REDOX REACTIONS

315076 Dichlorine heptaoxide \(\mathrm{\left(\mathrm{Cl}_{2} \mathrm{O}_{7}\right)}\) in gaseous state combines with an aqueous solution of hydrogen peroxide in acidic medium to give chlorite ion \(\mathrm{\left(\mathrm{ClO}_{2}^{-}\right)}\)and oxygen gas.
The balanced chemical equation for the reaction is

1 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
2 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
3 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
4 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+2 \mathrm{H}_{2} \mathrm{O}}\)
CHXI08:REDOX REACTIONS

315070 In the redox reaction,
\[\begin{array}{l}
{\rm{xKMn}}{{\rm{O}}_{\rm{4}}} + {\rm{N}}{{\rm{H}}_3} \to {\rm{yKN}}{{\rm{O}}_{\rm{3}}} + {\rm{Mn}}{{\rm{O}}_{\rm{2}}}\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + {\rm{KOH}} + {{\rm{H}}_{\rm{2}}}{\rm{O}}
\end{array}\]
x and y are

1 x=4,y=6
2 x=3,y=8
3 x=8,y=6
4 x=8,y=3
CHXI08:REDOX REACTIONS

315071 The number of electrons involved in the reduction of \(\mathrm{\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}}\) ion in acidic solution to \(\mathrm{\mathrm{Cr}^{+}}\)is

1 3
2 4
3 2
4 6
CHXI08:REDOX REACTIONS

315106 For the redox reaction
\(\rm{\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}}\)
The correct coefficient of the reactants for the balanced equation are
\(\,\,\,\,{\rm{MnO}}_{\rm{4}}^{\rm{ - }}\quad {{\rm{C}}_{\rm{2}}}{\rm{O}}_{\rm{4}}^{{\rm{2 - }}}\quad {{\rm{H}}^{\rm{ + }}}\)

1 \(\,\,\,\,\,{\rm{2}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{5}}\)
2 \(\,\,\,\,{\rm{5}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{2}}\)
3 \(\,\,\,\,\begin{array}{*{20}{l}}
{\rm{2}}&{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{5}}}&{\,\,\,\,{\rm{16}}}
\end{array}\)
4 \(\,\,16{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,2\)
CHXI08:REDOX REACTIONS

315073 \(\begin{array}{l}
{\rm{F}}{{\rm{e}}^{2 + }} \to {\rm{F}}{{\rm{e}}^{3 + }} + {{\rm{e}}^ - }\\
{\rm{MnO}}_4^ - + {\rm{5}}{{\rm{e}}^ - } \to {\rm{M}}{{\rm{n}}^{2 + }}
\end{array}\)
The ratio of stoichiometric coefficient of \({\rm{F}}{{\rm{e}}^{2 + }}\) and \({\rm{MnO}}_4^ - \)

1 \(1:5\)
2 \(5:1\)
3 \(2:3\)
4 \(6:1\,\)
CHXI08:REDOX REACTIONS

315076 Dichlorine heptaoxide \(\mathrm{\left(\mathrm{Cl}_{2} \mathrm{O}_{7}\right)}\) in gaseous state combines with an aqueous solution of hydrogen peroxide in acidic medium to give chlorite ion \(\mathrm{\left(\mathrm{ClO}_{2}^{-}\right)}\)and oxygen gas.
The balanced chemical equation for the reaction is

1 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
2 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
3 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
4 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+2 \mathrm{H}_{2} \mathrm{O}}\)
CHXI08:REDOX REACTIONS

315070 In the redox reaction,
\[\begin{array}{l}
{\rm{xKMn}}{{\rm{O}}_{\rm{4}}} + {\rm{N}}{{\rm{H}}_3} \to {\rm{yKN}}{{\rm{O}}_{\rm{3}}} + {\rm{Mn}}{{\rm{O}}_{\rm{2}}}\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + {\rm{KOH}} + {{\rm{H}}_{\rm{2}}}{\rm{O}}
\end{array}\]
x and y are

1 x=4,y=6
2 x=3,y=8
3 x=8,y=6
4 x=8,y=3
CHXI08:REDOX REACTIONS

315071 The number of electrons involved in the reduction of \(\mathrm{\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}}\) ion in acidic solution to \(\mathrm{\mathrm{Cr}^{+}}\)is

1 3
2 4
3 2
4 6
CHXI08:REDOX REACTIONS

315106 For the redox reaction
\(\rm{\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}}\)
The correct coefficient of the reactants for the balanced equation are
\(\,\,\,\,{\rm{MnO}}_{\rm{4}}^{\rm{ - }}\quad {{\rm{C}}_{\rm{2}}}{\rm{O}}_{\rm{4}}^{{\rm{2 - }}}\quad {{\rm{H}}^{\rm{ + }}}\)

1 \(\,\,\,\,\,{\rm{2}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{5}}\)
2 \(\,\,\,\,{\rm{5}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{2}}\)
3 \(\,\,\,\,\begin{array}{*{20}{l}}
{\rm{2}}&{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{5}}}&{\,\,\,\,{\rm{16}}}
\end{array}\)
4 \(\,\,16{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,2\)
CHXI08:REDOX REACTIONS

315073 \(\begin{array}{l}
{\rm{F}}{{\rm{e}}^{2 + }} \to {\rm{F}}{{\rm{e}}^{3 + }} + {{\rm{e}}^ - }\\
{\rm{MnO}}_4^ - + {\rm{5}}{{\rm{e}}^ - } \to {\rm{M}}{{\rm{n}}^{2 + }}
\end{array}\)
The ratio of stoichiometric coefficient of \({\rm{F}}{{\rm{e}}^{2 + }}\) and \({\rm{MnO}}_4^ - \)

1 \(1:5\)
2 \(5:1\)
3 \(2:3\)
4 \(6:1\,\)
CHXI08:REDOX REACTIONS

315076 Dichlorine heptaoxide \(\mathrm{\left(\mathrm{Cl}_{2} \mathrm{O}_{7}\right)}\) in gaseous state combines with an aqueous solution of hydrogen peroxide in acidic medium to give chlorite ion \(\mathrm{\left(\mathrm{ClO}_{2}^{-}\right)}\)and oxygen gas.
The balanced chemical equation for the reaction is

1 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
2 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
3 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
4 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+2 \mathrm{H}_{2} \mathrm{O}}\)
CHXI08:REDOX REACTIONS

315070 In the redox reaction,
\[\begin{array}{l}
{\rm{xKMn}}{{\rm{O}}_{\rm{4}}} + {\rm{N}}{{\rm{H}}_3} \to {\rm{yKN}}{{\rm{O}}_{\rm{3}}} + {\rm{Mn}}{{\rm{O}}_{\rm{2}}}\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + {\rm{KOH}} + {{\rm{H}}_{\rm{2}}}{\rm{O}}
\end{array}\]
x and y are

1 x=4,y=6
2 x=3,y=8
3 x=8,y=6
4 x=8,y=3
CHXI08:REDOX REACTIONS

315071 The number of electrons involved in the reduction of \(\mathrm{\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}}\) ion in acidic solution to \(\mathrm{\mathrm{Cr}^{+}}\)is

1 3
2 4
3 2
4 6
CHXI08:REDOX REACTIONS

315106 For the redox reaction
\(\rm{\mathrm{MnO}_{4}^{-}+\mathrm{C}_{2} \mathrm{O}_{4}^{2-}+\mathrm{H}^{+} \rightarrow \mathrm{Mn}^{2+}+\mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}}\)
The correct coefficient of the reactants for the balanced equation are
\(\,\,\,\,{\rm{MnO}}_{\rm{4}}^{\rm{ - }}\quad {{\rm{C}}_{\rm{2}}}{\rm{O}}_{\rm{4}}^{{\rm{2 - }}}\quad {{\rm{H}}^{\rm{ + }}}\)

1 \(\,\,\,\,\,{\rm{2}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{5}}\)
2 \(\,\,\,\,{\rm{5}}\quad \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{16}}\quad \,\,\,\,{\rm{2}}\)
3 \(\,\,\,\,\begin{array}{*{20}{l}}
{\rm{2}}&{\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\rm{5}}}&{\,\,\,\,{\rm{16}}}
\end{array}\)
4 \(\,\,16{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,5{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} {\mkern 1mu} \,\,\,\,\,\,\,2\)
CHXI08:REDOX REACTIONS

315073 \(\begin{array}{l}
{\rm{F}}{{\rm{e}}^{2 + }} \to {\rm{F}}{{\rm{e}}^{3 + }} + {{\rm{e}}^ - }\\
{\rm{MnO}}_4^ - + {\rm{5}}{{\rm{e}}^ - } \to {\rm{M}}{{\rm{n}}^{2 + }}
\end{array}\)
The ratio of stoichiometric coefficient of \({\rm{F}}{{\rm{e}}^{2 + }}\) and \({\rm{MnO}}_4^ - \)

1 \(1:5\)
2 \(5:1\)
3 \(2:3\)
4 \(6:1\,\)
CHXI08:REDOX REACTIONS

315076 Dichlorine heptaoxide \(\mathrm{\left(\mathrm{Cl}_{2} \mathrm{O}_{7}\right)}\) in gaseous state combines with an aqueous solution of hydrogen peroxide in acidic medium to give chlorite ion \(\mathrm{\left(\mathrm{ClO}_{2}^{-}\right)}\)and oxygen gas.
The balanced chemical equation for the reaction is

1 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
2 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+\mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 2 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+2 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
3 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+3 \mathrm{H}_{2} \mathrm{O}}\)
4 \(\mathrm{\mathrm{Cl}_{2} \mathrm{O}_{7}+4 \mathrm{H}_{2} \mathrm{O}_{2} \rightarrow 4 \mathrm{ClO}_{2}^{-}+4 \mathrm{O}_{2}+4 \mathrm{H}^{+}+2 \mathrm{H}_{2} \mathrm{O}}\)
CHXI08:REDOX REACTIONS

315070 In the redox reaction,
\[\begin{array}{l}
{\rm{xKMn}}{{\rm{O}}_{\rm{4}}} + {\rm{N}}{{\rm{H}}_3} \to {\rm{yKN}}{{\rm{O}}_{\rm{3}}} + {\rm{Mn}}{{\rm{O}}_{\rm{2}}}\\
\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, + {\rm{KOH}} + {{\rm{H}}_{\rm{2}}}{\rm{O}}
\end{array}\]
x and y are

1 x=4,y=6
2 x=3,y=8
3 x=8,y=6
4 x=8,y=3
CHXI08:REDOX REACTIONS

315071 The number of electrons involved in the reduction of \(\mathrm{\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}}\) ion in acidic solution to \(\mathrm{\mathrm{Cr}^{+}}\)is

1 3
2 4
3 2
4 6