Chlorine is prepared according to the following equation: 4 HCl + MnO_2( s ) → 2 H_2 O_(l)+ MnCl_2( aq ) + Cl_2( g ). 10 g sample of MnO_2 produces…

Chlorine is prepared according to the following equation : $$4 \mathrm{HCl}+\mathrm{MnO}_{2(\mathrm{~s})} \longrightarrow 2 \mathrm{H}_2 \mathrm{O}_{(l)}+\mathrm{MnCl}_{2(\mathrm{aq})}+\mathrm{Cl}_{2(\mathrm{~g})} . $$ $\displaystyle 10$ g sample of $\displaystyle \mathrm{MnO}_2$ produces $\displaystyle 2.24$ L of chlorine under SATP, the percentage purity of the $\displaystyle \mathrm{MnO}_2$ sample is \_\_\_\_. (Nearest integer) [Atomic weight $\displaystyle =\mathrm{H}: 1.0, \mathrm{O}: 16.0, \mathrm{C}: 12.0, \mathrm{Cl}: 35.5, \mathrm{Mn}: 55.0$ ] $\displaystyle \left[\mathrm{SATP}: \mathrm{T}=298 \mathrm{~K}, \mathrm{P}=10^5 \mathrm{~Pa}\right]$