Statement I : Aqueous solution of Na₂CO₃ shows pH > 7.

Statement II : Salt of strong base and weak acid undergoes anionic hydrolysis.

P^H of an aqueous solution of salt of strong base and weak acid (Na₂CO₃) is given by

${\mathrm{P}}^{\mathrm{H}}=\frac{1}{2}\left[{\mathrm{P}}^{{\mathrm{K}}_{\mathrm{w}}}+{\mathrm{P}}^{{\mathrm{K}}_{\mathrm{a}}}+\mathrm{logC}\right]\Rightarrow {\mathrm{P}}^{\mathrm{H}}>7$

Salt of strong base and weak acid undergoes anionic hydrolysis,

${\mathrm{Na}}_2{\mathrm{CO}}_3\left(\mathrm{aq}\right)\to 2{\mathrm{Na}}^{+}\left(\mathrm{aq}\right)+{\mathrm{CO}}_3^{-2}\left(\mathrm{aq}\right)$

Na⁺ is a derivative of strong base and will not undergo hydrolysis.

$\underset{{\mathrm{C}}_{\mathrm{o}}-\mathrm{x}}{{\mathrm{CO}}_3^{-2}}+{\mathrm{H}}_2\mathrm{O}\rightleftharpoons \underset{\mathrm{x}-\mathrm{y}}{{\mathrm{HCO}}_3^{-}}+\underset{\mathrm{x}+\mathrm{y}}{{\mathrm{OH}}^{-}};{\mathrm{K}}_{{\mathrm{h}}_1}=\frac{{\mathrm{K}}_{\mathrm{W}}}{{\mathrm{K}}_{{\mathrm{a}}_2}}$

$\underset{\mathrm{x}-\mathrm{y}}{{\mathrm{HCO}}_3^{-}}+{\mathrm{H}}_2\mathrm{O}\rightleftharpoons {\mathrm{H}}_2{\mathrm{CO}}_3+\underset{\mathrm{y}+\mathrm{x}}{{\mathrm{OH}}^{-}};{\mathrm{K}}_{{\mathrm{h}}_2}=\frac{{\mathrm{K}}_{\mathrm{w}}}{{\mathrm{K}}_{{\mathrm{a}}_1}}$

${\mathrm{K}}_{{\mathrm{h}}_1}\gg {\mathrm{K}}_{{\mathrm{h}}_2}\Rightarrow \mathrm{x}\gg \mathrm{y}$

${\mathrm{K}}_{{\mathrm{h}}_1}=\frac{{\mathrm{K}}_{\mathrm{w}}}{{\mathrm{K}}_{{\mathrm{a}}_2}}=\frac{(\mathrm{x}-\mathrm{y})(\mathrm{x}+\mathrm{y})}{{\mathrm{C}}_0-\mathrm{x}}$

$\Rightarrow \frac{{\mathrm{K}}_{\mathrm{w}}}{{\mathrm{K}}_{{\mathrm{a}}_2}}=\frac{\mathrm{x}\times \mathrm{x}}{{\mathrm{C}}_0}$

$\Rightarrow \mathrm{x}=\sqrt{\frac{{\mathrm{C}}_0{\mathrm{K}}_{\mathrm{w}}}{{\mathrm{K}}_{{\mathrm{a}}_2}}}$

$\Rightarrow {\mathrm{P}}^{\mathrm{OH}}=\frac{1}{2}\left[{\mathrm{P}}^{{\mathrm{K}}_{\mathrm{w}}}-{\mathrm{P}}^{{\mathrm{K}}_{{\mathrm{a}}_2}}-{\mathrm{logC}}_0\right]$

$\Rightarrow {\mathrm{P}}^{\mathrm{H}}=\frac{1}{2}\left[{\mathrm{P}}^{{\mathrm{K}}_{\mathrm{w}}}+{\mathrm{P}}^{{\mathrm{K}}_{{\mathrm{a}}_2}}+{\mathrm{logC}}_0\right]$