KOH is a strong base it dissociates completely
KOH-----> K+ + OH-
hence 0.077 M KOH will give 0.077 M OH-
but Co(OH)3 is a weak electrolyte and it dissociates as
Co(OH)3(s) = Co^3+(aq) + 3OH^-(aq)
s - -
- s 3s+0.077 (from common ion)
where s is the solubility of Co(OH)3
using the expression of Ksp = [Co^3+][OH^-]^3
Ksp = [s][3s+0.077]^3
1.6*10^-44 = [s][3s+0.077]^3
on solving
s = 3.5 *10^-41
(you can get this value by neglecting 3s in 3s+0.077 since due to common ion solubility is ver y very less)
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