If pKb for fluoride ion at $ 25 ^\circ C $ is 10.83, the ionisation constant of hydrofluoric acid in water at this temperature is
The ionization constant of hydrofluoric acid (HF) can be found using the relationship between the ionization constant of the acid (Ka) and the base dissociation constant (Kb) of its conjugate base (fluoride ion, F^-). The relationship is given by: $$ K_a imes K_b = K_w $$ where $$ K_w $$ is the ion-product constant for water at 25°C ($1 imes 10^{-14}$). Given $$ pK_b = 10.83 $$, we first find $$ K_b $$: $$ K_b = 10^{-pK_b} = 10^{-10.83} = 1.48 imes 10^{-11} $$ Then, $$ K_a = rac{K_w}{K_b} = rac{1 imes 10^{-14}}{1.48 imes 10^{-11}} = 6.75 imes 10^{-4} $$ Hence, the correct answer is $ 6.75 imes 10 ^ {-4} $.