Chemistry - Ionic Equilibrium Question with Solution | TestHub

${\mathrm{K}}_{\mathrm{a}}=\frac{\mathrm{C}{\mathrm{\alpha }}^2}{1-\mathrm{\alpha }}$.
If$\mathrm{\alpha }<5\mathrm{\%}$, then$1-\mathrm{\alpha }=1$
So${\mathrm{K}}_{\mathrm{a}}=\mathrm{C}{\mathrm{\alpha }}^2$
or$\mathrm{\alpha }=\sqrt{\frac{{\mathrm{K}}_{\mathrm{a}}}{\mathrm{C}}}$
This shows that degree of ionization is inversely proportional to the square root of its molar concentration. Hence,$\mathrm{\alpha }$increases when solution is diluted with water.