J.R. S. answered 09/13/21
Ph.D. University Professor with 10+ years Tutoring Experience
Looking at the hydrolysis of BrO-, we have...
BrO- + H2O ==> HBrO + OH-
From the Ka for HBrO we can find the Kb for BrO-
Ka HBrO = 2x10-9 (look it up)
Kb = 1x10-14 / 2x10-9 = 5x10-6
Kb = 5x10-6 = [HBrO][OH-] / [BrO-] = (x)(x) / 0.25-x (assume x is small relative to 0.25 and ignore it)
x2 = 1.25x10-6
x = 1.12x10-3 M = [OH-]
pOH = -log 1.12x10-3 M
pOH = 2.95
pH = 14 - 2.95
pH = 11.05