Write the ionization expression and the \(K_{b}\) expression for \(0.1 M\) aqueous solutions of the following bases. (a) \(\mathrm{F}^{-}\) (b) \(\mathrm{HCO}_{3}^{-}\) (c) \(\mathrm{CN}^{-}\)

Question: Determine the ionization reactions and the \(K_b\) expressions for the following bases in water: F⁻, \(\mathrm{HCO}_{3}^{-}\), and \(\mathrm{CN}^{-}\). Answer: a) For F⁻, the ionization reaction is given by \(\mathrm{F}^{-} + \mathrm{H}_{2}\mathrm{O} \rightleftharpoons \mathrm{HF} + \mathrm{OH}^{-}\), with \(K_{b} = \frac{[\mathrm{HF}][\mathrm{OH}^{-}]}{[\mathrm{F}^{-}]}\). b) For \(\mathrm{HCO}_{3}^{-}\), the ionization reaction is given by \(\mathrm{HCO}_{3}^{-} + \mathrm{H}_{2}\mathrm{O} \rightleftharpoons \mathrm{H}_{2}\mathrm{CO}_{3} + \mathrm{OH}^{-}\), with \(K_{b} = \frac{[\mathrm{H}_{2}\mathrm{CO}_{3}][\mathrm{OH}^{-}]}{[\mathrm{HCO}_{3}^{-}]}\). c) For \(\mathrm{CN}^{-}\), the ionization reaction is given by \(\mathrm{CN}^{-} + \mathrm{H}_{2}\mathrm{O} \rightleftharpoons \mathrm{HCN} + \mathrm{OH}^{-}\), with \(K_{b} = \frac{[\mathrm{HCN}][\mathrm{OH}^{-}]}{[\mathrm{CN}^{-}]}\).