Balance the following chemical equations and identify the type of chemical reaction.
(a) $\quad \mathrm{Mg}(s)+\mathrm{Cl}_{2}(g) \longrightarrow \mathrm{MgCl}_{2}(s)$
(b) $\quad \mathrm{HgO}(s) \stackrel{\text { theat })}{\longrightarrow} \mathrm{Hg}(l)+\mathrm{O}_{2}(g)$
(c) $\quad \mathrm{Na}(s)+\mathrm{S}(s) \stackrel{\text { (Fuse) }}{\longrightarrow} \mathrm{Na}_{2} \mathrm{~S}(s)$
(d) $\mathrm{TiCl}_{4}(l)+\mathrm{Mg}(s) \longrightarrow \mathrm{Ti}(s)+\mathrm{MgCl}_{2}(s)$
(e) $\mathrm{CaO}(s)+\mathrm{SiO}_{2}(s) \longrightarrow \mathrm{CaSiO}_{3}(s)$
(f) $\quad \mathrm{H}_{2} \mathrm{O}_{2}(l) \stackrel{(\mathrm{uv})}{\longrightarrow} \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{O}_{2}(g)$
The chemical equations in their balanced form may be written as follows :
(a) $\mathrm{Mg}(s)+\mathrm{Cl}_{2}(g) \longrightarrow \mathrm{MgCl}_{2}(s)$, Combination reaction
(b) $\quad 2 \mathrm{HgO}(s) \stackrel{\text { (heat) }}{\longrightarrow} 2 \mathrm{Hg}(l)+\mathrm{O}_{2}(g) ; \quad$ Decomposition reaction
(c) $\quad 2 \mathrm{Na}(s)+\mathrm{S}(s) \stackrel{\text { (Fuse) }}{\longrightarrow} \mathrm{Na}_{2} \mathrm{~S}(s) ;$ Combination reaction
$\begin{array}{ll}\text { (d) } \mathrm{TiCl}_{4}(l)+2 \mathrm{Mg}(s) & \mathrm{Ti}(s)+2 \mathrm{MgCl}_{2}(s) ; & \text { Displacement reaction }\end{array}$
(e) Equation is already balanced;
(f) $\quad 2 \mathrm{H}_{2} \mathrm{O}_{2}(l) \stackrel{\text { (uv) }}{\longrightarrow} 2 \mathrm{H}_{2} \mathrm{O}(\mathrm{I})+\mathrm{O}_{2}(g) ; \quad$ Decomposition reaction