J.R. S. answered 04/20/20
Ph.D. University Professor with 10+ years Tutoring Experience
First, write the balanced equation:
NH3 + H2O ==> NH4+ + OH-
From the pH = 11.00, we can find the [H+] and then the [OH-] which we will use in the Kb expression.
From pH = 11, [H+] = 1x10-11
[H+][OH-] = 1x10-14
[OH-] = 1x10-14/1x10-11 = 1x10-3 M
Kb = [NH4+][OH-]/[NH3] and from pKb = 4.75, Kb = 1x10-4.75 = 1.78x10-5
1.78x10-5 = (1x10-3)(1x10-3)/[NH3]
[NH3] = 0.0562 M