Balance each of the following oxidation-reduction reactions, which take place
in acidic solution, by using the "half-reaction" method.
a. \(\mathrm{Mg}(s)+\mathrm{Hg}^{2+}(a q) \rightarrow \mathrm{Mg}^{2+}(a
q)+\mathrm{Hg}_{2}^{2+}(a q)\)
b. \(\mathrm{NO}_{3}^{-}(a q)+\mathrm{Br}^{-}(a q) \rightarrow
\mathrm{NO}(g)+\mathrm{Br}_{2}(l)\)
c. \(\mathrm{Ni}(s)+\mathrm{NO}_{3}^{-}(a q) \rightarrow \mathrm{Ni}^{2+}(a
q)+\mathrm{NO}_{2}(g)\)
d. \(\mathrm{ClO}_{4}^{-}(a q)+\mathrm{Cl}^{-}(a q) \rightarrow
\mathrm{ClO}_{3}^{-}(a q)+\mathrm{Cl}_{2}(g)\)