Answer:
a) in pure water:
⇒ S (25°C) Ni(OH)2 = 2.0 E-5 M
b) in 0.013 M NaOH:
⇒ S = 9.467 E-11 M
Step-by-step explanation:
a) Ni(OH)2 ↔ Ni2+ + 2OH-
S S 2S
⇒ Ksp = [ Ni2+ ] * [ OH- ]² = 1.6 E-14.....Ksp value comes from the literature
⇒ Ksp = S * 2S² = 1.6 E-14
⇒ 2S³ = 1.6 E-14
⇒ S = ∛( 1.6 E-14 / 2 )
⇒ S = 2.0 E-5 M
b) NaOH ↔ Na+ + OH-
0.0130 M 0.013 0.013
Ni(OH)2 ↔ Ni2+ + 2OH-
S S 2S + 0.0130
⇒ Ksp = [ Ni2+ ] * [ OH- ]²
⇒ Ksp = S * (2S + 0.0130 )² = 1.6 E-14
Due to the small value of the Ksp it can be assumed that "s" is a very small number, so "2s" can be neglected when added to 0.0130.
⇒ 1.6 E-14 = S * ( 0.0130 )²
⇒ S = 9.467 E-11 M