J.R. S. answered 03/24/22
Ph.D. University Professor with 10+ years Tutoring Experience
Let B represent the weak base.
B + H2O ==> BH+ OH-
Kb = [BH+][OH-] / [B]
From the pH, we can find the pOH and then the [OH- and BH+]:
pH + pOH = 14
pOH = 14 - pH = 14 - 9.45
pOH = 4.55
[OH-] = 2.82x10-5 M = [BH+]
Kb = (2.82x10-5)(2.82x10-5) / 0.250
Kb = 3.18x10-9