A solution containing 10 g of an electrolyte AB_2 in 100 g of water boils at 100.52^° C. The degree of ionization of the electrolyte (α) is ____ ×…

A solution containing $\displaystyle 10$ g of an electrolyte $\displaystyle \mathrm{AB}_2$ in $\displaystyle 100$ g of water boils at $\displaystyle 100.52^{\circ} \mathrm{C}$. The degree of ionization of the electrolyte $\displaystyle (\alpha)$ is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-1}$. (nearest integer) [Given : Molar mass of $\displaystyle \mathrm{AB}_2=200 \mathrm{~g} \mathrm{~mol}^{-1}, \mathrm{~K}_{\mathrm{b}}$ (molal boiling point elevation const. of water) $\displaystyle =0.52 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$, boiling point of water $\displaystyle =100^{\circ} \mathrm{C} ; \mathrm{AB}_2$ ionises as $\displaystyle \left.\mathrm{AB}_2 \rightarrow \mathrm{~A}^{2+}+2 \mathrm{~B}^{-}\right]$