J.R. S. answered 03/16/19
Ph.D. University Professor with 10+ years Tutoring Experience
H2CO3 <==> H+ + HCO3- Ka = 4.3x10-7
HCO3- + H2O ==> H2CO3 + OH- Kb = 1x10-14/4.3x10-7 = 2.3x10-8
Kb = 2.3x10-8 = [H2CO3][OH-]/[HCO3-] = (x)(x)/0.100
x2 = 2.3x10-9
x = 4.8x10-5 = [OH-]
pOH = 4.3
pH = 9.7