Statement-I: Titanium is purified by Van-Arkel method.

Statement-2: $\mathrm{Ti}$ reacts with ${\mathrm{I}}_2$ to form volatile ${\mathrm{TiI}}_4$ which decomposes at 1673 K to give pure $\mathrm{Ti}$ .

The Van-Arkel process is used to purify titanium because when $\mathrm{Ti}$ combines with ${\mathrm{I}}_2$, it forms volatile ${\mathrm{TiI}}_4$, which decomposes at 1673 K to produce pure  $\mathrm{Ti}$.

For ultrapure metals like $\mathrm{Ti}$, $\mathrm{Zr},$etc., the Van-Arkel process is utilized. Leaving behind the impurities, the metal is transformed into its volatile stable compound, such as ${\mathrm{TiI}}_4$, which is then dissolved to provide the pure metal. 

The reaction response is listed below:

${\mathrm{T}}_{\mathrm{i}}+2{\mathrm{I}}_2\stackrel{500\mathrm{k}}{\to }{\mathrm{T}}_{\mathrm{i}}{\mathrm{I}}_4\stackrel{1675\mathrm{k}}{\to }{\mathrm{T}}_{\mathrm{i}}+2{\mathrm{I}}_2$

Hence the correct option is A