The degree of dissociation of ${\mathrm{A}}_{\mathrm{x} }{\mathrm{B}}_{\mathrm{y}}$ electrolyte with concentration $\mathrm{C}$and dissociation constant $\mathrm{K}$is: (Given, $\mathrm{\alpha }\ll 1$)

To $100 \mathrm{mL}$ of an aqueous $\mathrm{HCl}$solution of$\mathrm{pH} 1.0, 900 \mathrm{mL}$ of distilled water is added. Then $\text{pH }$of the resulting solution is

The ratio of the concentration of $\left[{\mathrm{H}}^{+}\right]$ ions in the solution of ${\mathrm{NH}}_4\mathrm{Cl}$ to that in ${\mathrm{CH}}_3\mathrm{COONa}$ is

NOTE: ${\mathrm{K}}_{\mathrm{w}} = {\mathrm{K}}_{\mathrm{a}}\times {\mathrm{K}}_{\mathrm{b}}$ where, ${\mathrm{K}}_{\mathrm{b}}=\text{Dissociation constant of} {\mathrm{NH}}_4\mathrm{OH}$ and ${\mathrm{K}}_{\mathrm{a}}=\text{Dissociation constant of }{\mathrm{CH}}_3\mathrm{COOH}$