Chemistry - Ionic Equilibrium Question with Solution | TestHub

The molar concentration of water

$=\frac{1000\times 1}{18}=55.5\text{ M}$

$\mathrm{\alpha }$, the degree of dissociation$=\frac{1\times 10^{-7}}{100}$

$=1\times 10^{-9}$



${\mathrm{K}}_{\mathrm{w}}=\mathrm{C}\mathrm{\alpha }\times \mathrm{C}\mathrm{\alpha }$or${\mathrm{C}}^2{\mathrm{\alpha }}^2$

${\mathrm{K}}_{\mathrm{w}}=\left(55.5{)}^2\right(1\times 10^{-9}{)}^2=3.085\times 10^{-15}$