J.R. S. answered 04/22/23
Ph.D. University Professor with 10+ years Tutoring Experience
Mg(OH)2(s) <==> Mg2+(aq) + 2OH-(aq)
From pH = 8.90, we can find [OH-]:
[OH-] = 1x10-8.90 = 1.26x10-9 M
Mg(OH)2(s) <==> Mg2+(aq) + 2OH-(aq)
1........................0...................0...........Initial
-x.....................+x.................+2x..........Change
1-x....................x...................2x...........Equilibrium
At equilibrium, 2x = 1.26x10-9 M
Therefore x = [Mg2+] = 1/2 (1.26x10-9 M) = 6.3x10-10 M
Ksp = [Mg2+][OH-]2 = (6.3x10-10)(1.26x10-9)2
Ksp = 1.0x10-27 This is the Ksp @ pH 8.90.
The molar solubility at this pH = 6.3x10-10 M