Use the method of half reactions to balance the following...

Use the method of half reactions to balance the following equations: (a) $\mathrm{IO}_{4}^{-}(a q)+\mathrm{I}^{-}(a q) \rightarrow \mathrm{IO}_{3}^{-}(a q)+\mathrm{I}_{3}^{-}(a q)$ (basic) (b) $\mathrm{H}_{2} \mathrm{MoO}_{4}(a q)+\mathrm{Cr}^{2+}(a q) \rightarrow$ $\operatorname{Mo}(s)+\mathrm{Cr}^{3+}(a q) \quad$ (acidic)

Use the method of half reactions to balance the following equations:
(a) $\mathrm{IO}_{4}^{-}(a q)+\mathrm{I}^{-}(a q) \rightarrow \mathrm{IO}_{3}^{-}(a q)+\mathrm{I}_{3}^{-}(a q)$
(basic)
(b) $\mathrm{H}_{2} \mathrm{MoO}_{4}(a q)+\mathrm{Cr}^{2+}(a q) \rightarrow$
$\operatorname{Mo}(s)+\mathrm{Cr}^{3+}(a q) \quad$ (acidic)

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Key Concepts

Half-Reaction Method

The half-reaction method is a systematic approach to balancing redox reactions by splitting them into two components: one representing oxidation and the other reduction. Each half-reaction is balanced separately for atoms and charge, including electrons, before being recombined to form the overall balanced equation.

Oxidation-Reduction (Redox) Reactions

Redox reactions involve the transfer of electrons between chemical species, which causes changes in the oxidation states of the involved elements. Identifying which species are oxidized and which are reduced is central to understanding these reactions and applying the half-reaction method.

Balancing in Acidic Medium

When balancing redox reactions in an acidic medium, hydrogen ions (H?) and water (H?O) are used to balance hydrogen and oxygen atoms, respectively, in the half-reactions. This approach ensures that both mass and charge are conserved in reactions occurring under acidic conditions.

Balancing in Basic Medium

For redox reactions in a basic medium, hydroxide ions (OH?) and water (H?O) are employed to balance oxygen and hydrogen atoms. This process often involves initially balancing the reaction as if under acidic conditions and then adding OH? ions to neutralize the H? ions, thereby adapting the balancing method to a basic environment.

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