Question #58552

The pH of a 0.32 mol/L weak base solution is 9.8. Calculate the Kb of this base.

Expert's answer

Answer to Question #58552, Chemistry / Other

The pH of a 0.32 mol/L weak base solution is 9.8. Calculate the Kb of this base.

Solution:

Weak base react with water:


B+H2OHB++OH\mathrm{B} + \mathrm{H_2O} \rightarrow \mathrm{HB^+} + \mathrm{OH^-}Kb=[HB+][OH][B]K_b = \frac{[\mathrm{HB^+}][\mathrm{OH^-}]}{[B]}[HB+]=[OH]=10(14pH)[\mathrm{HB^+}] = [\mathrm{OH^-}] = 10^{-(14 - \mathrm{pH})}Kb=(6.31×105)20.326.31×105=1.24×108K_b = \frac{(6.31 \times 10^{-5})^2}{0.32 - 6.31 \times 10^{-5}} = 1.24 \times 10^{-8}

Answer:

1.24×1081.24 \times 10^{-8}


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