Balance the following equations and classify the reactions as decomposition,
combination, single-displacement, double-displacement, or combustion.
(a) \(\mathrm{GaH}_{3}+\mathrm{N}\left(\mathrm{CH}_{3}\right)_{3}
\longrightarrow\left(\mathrm{CH}_{3}\right)_{3} \mathrm{NGaH}_{3}\)
(b) \(\mathrm{Ca}(s)+\mathrm{H}_{2} \mathrm{O}(l) \longrightarrow
\mathrm{Ca}(\mathrm{OH})_{2}(a q)+\mathrm{H}_{2}(g)\)
(c) \(\mathrm{N}_{2}(g)+\mathrm{CaC}_{2}(s) \longrightarrow
\mathrm{C}(s)+\mathrm{CaNCN}(s)\)
(d) \(\mathrm{N}_{2}(g)+\mathrm{Mg}(s) \longrightarrow \mathrm{Mg}_{3}
\mathrm{~N}_{2}(s)\)
(e) \(\mathrm{NH}_{4} \mathrm{Cl}(s) \longrightarrow
\mathrm{NH}_{3}(g)+\mathrm{HCl}(g)\)
(f) \(\mathrm{CaO}(s)+\mathrm{SO}_{3}(g) \stackrel{\text { heat
}}{\longrightarrow} \mathrm{CaSO}_{4}(s)\)
(g) \(\mathrm{PCl}_{5}(g) \stackrel{\text { heal }}{\longrightarrow}
\mathrm{PCl}_{3}(g)+\mathrm{Cl}_{2}(g)\)
(h) \(\mathrm{Ca}_{3} \mathrm{~N}_{2}(s)+\mathrm{H}_{2} \mathrm{O}(l)
\stackrel{\text { heat }}{\longrightarrow} \mathrm{Ca}(\mathrm{OH})_{2}(a
q)+\mathrm{NH}_{3}(g)\)