A 0.94 M aqueous solution of a weak base has a pH of 10.28 at 298 K. Calculate pKb for this weak base. Enter your answer to 2 decimal places.
the ionization equation of weak base B is as following
B + H2O ⇌ HB+ + OH- and Kb is dissociation constant for the same.
now we know that
pH = -log[H+]
hence [H+] = 10-pH = 10-10.28 = 5.2481 x 10-11 M
[OH-] = Kw / [H+] = 1.00 x 10-14 / 5.2481 x 10-11
[OH-] = 1.9055 x 10-4 M
due to the 1:1 molar ratio that [HB+] = [OH-]
and we have 0.94 M for [B].
Kb = [HB+][OH-]/[B]
= [(1.9055 x 10-4) (1.9055 x 10-4)] / 0.94
Kb = 3.86 x 10-8
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