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Q. If $pK_{b}$ for the fluoride ion at $25^\circ $ C is 10.83, the ionization constant of hydrofluoric acid in water at this temperature is

NTA AbhyasNTA Abhyas 2022

Solution:

$pK_{b}=10.83,$
$\text{log} \, \left(\text{K}\right)_{\text{b}} = - 10.83 - \left(\right. 11 - 0.17 \left.\right)$
On taking antilog
$K_{b}=1.479\times 10^{- 11}$
$K_{a}.K_{b}=K_{w}$
or $K_{a}\times 1.479\times 10^{- 11}=1.0\times 10^{- 14}$
$K_{a}=6.76\times 10^{- 4}$