J.R. S. answered 02/12/23
Ph.D. University Professor with 10+ years Tutoring Experience
Set up an ICE table
HONH2(aq) + H2O(l) <==> HONH3+(aq) + OH-(aq)
0.660.............................................0...................0................Initial
-x.................................................+x..................+x...............Change
0.660-x..........................................x....................x...............Equilibrium
Kc = 1.10x10-8 = [HONH3+][OH-] / [HONH2]
1.10x10-8 = (x)(x) / 0.660 - x (since K is so small, ignore x in the denominator)
1.10x10-8 = x2 / 0.660
x2 = 7.26x10-9
x = 8.52x10-5 M (above assumption was valid and subtracting this from 0.660 would be insignificant)
Equilibrium [OH-] = 8.52x10-5 M