Reaction: \(\ce{MnO4^- (aq) + I^- (aq) -> MnO2 (s) + I2 (s)}\)
Balanced by ion–electron method (basic medium):
\[ \ce{2 MnO4^- + 6 I^- + 4 H2O -> 2 MnO2 + 3 I2 + 8 OH^-} \]
Reaction: \(\ce{MnO4^- (aq) + SO2 (g) -> Mn^{2+} (aq) + HSO4^- (aq)}\)
Balanced in acidic solution:
\[ \ce{2 MnO4^- + 5 SO2 + 2 H2O -> 2 Mn^{2+} + 5 HSO4^- + 3 H^+} \]
Reaction: \(\ce{H2O2 (aq) + Fe^{2+} (aq) -> Fe^{3+} (aq) + H2O (l)}\)
Balanced in acidic solution:
\[ \ce{H2O2 + 2 Fe^{2+} + 2 H^+ -> 2 Fe^{3+} + 2 H2O} \]
Reaction: \(\ce{Cr2O7^{2-} + SO2 (g) -> Cr^{3+} (aq) + SO4^{2-} (aq)}\)
Balanced in acidic solution:
\[ \ce{Cr2O7^{2-} + 3 SO2 + 2 H2O -> 2 Cr^{3+} + 3 SO4^{2-} + 4 H^+} \]