Balance the following chemical equations and identify the type of chemical reaction.

(a) $\text{Mg(s)}+{\text{Cl}}_2\text{(g)}\to {\text{MgCl}}_2\text{(s)}$
(b) $\text{HgO(s)}\stackrel{\text{Heat}}{\to }\text{Hg(l)}+{\text{O}}_2\text{(g)}$
(c) $\text{Na(s)}+\text{S(s)}\stackrel{\text{Fuse}}{\to }{\text{Na}}_2\text{S(s)}$
(d) ${\text{TiCl}}_4\text{(l)}+\text{Mg(s)}\to \text{Ti(s)}+{\text{MgCl}}_2\text{(s)}$
(e) $\text{CaO(s)}+{\text{SiO}}_2\text{(s)}\to {\text{CaSiO}}_3\text{(s)}$
(f) ${\text{H}}_2{\text{O}}_2\text{(l)}\stackrel{\text{UV}}{\to }{\text{H}}_2\text{O(l)}+{\text{O}}_2\text{(g)}$

(a) $\text{Mg(s)}+{\text{Cl}}_2\text{(g)}\to {\text{MgCl}}_2\text{(s)}$ Already balanced; Combination reaction
(b) $2\text{HgO (s)}\stackrel{\text{Heat}}{\to }2\text{Hg (l)}+{\text{O}}_2\text{(g)}$; Decomposition reaction
(c) $2\text{Na (s)}+\text{S (s)}\stackrel{\text{Fuse}}{\to }{\text{Na}}_2\text{S (s)}$; Combination reaction
(d) ${\text{TiCl}}_4\text{(l)}+2\text{Mg (s)}\to \text{Ti (s)}+2{\text{MgCl}}_2\text{(s)}$; Displacement reaction
(e) $\text{CaO(s)}+{\text{SiO}}_2\text{(s)}\to {\text{CaSiO}}_3\text{(s)}$ Already balanced; Combination reaction
(f) ${\text{2H}}_2{\text{O}}_2\text{(l)}\stackrel{\text{UV}}{\to }2{\text{H}}_2\text{O (l)}+{\text{O}}_2\text{(g)}$; Decomposition reaction