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pH of a saturated solution of Ca(OH)2 is 9. The solubility product (Ksp) of Ca(OH)2 is

Question : pH of a saturated solution of Ca(OH)2 is 9. The solubility product (Ksp) of Ca(OH)2 is :

(1) 0.5 x 10-15

(2) 0.25 x 10-10

(3) 0.125 x 10-15

(4) 0.5 x 10-10

answer : from all above options the correct answer is “(1) 0.5 x 10-15

solution of question is given below –

We know pH + pOH = 14

Therefore , 9 + pOH = 14

pOH = 5

[OH] = 10-5

The reaction involved is Ca(OH)2 ⇌ Ca2+ + 2OH

Also , [Ca2+] = 10-5/2

Ksp = [Ca2+] [OH]

= (10-5/2) (10-5)2 = 0.5 x 10-15

that is why we have marked option (1) for correct answer.