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The chemical equation:
Mg(OH)2 ⇌ Mg2+ + 2OH¯
2) The Ksp expression:
Ksp = [Mg2+] [OH¯]2
3) Use the pH to get the pOH:
14.00 - 10.17 = 3.83
4) Use the pOH to get the [OH¯]:
[OH¯] = 10¯pOH = 10¯3.83 = 1.479 x 10¯4M
5) From the chemical equation, we note that the [Mg2+] is half the value of the [OH¯], therefore:
[Mg2+] = 1.479 x 10¯4 M divided by 2 = 7.395 x 10¯5 M
6) We now have the necessary values to put into the Ksp expression:
Ksp = (7.395 x 10¯5) (1.479 x 10¯4)2Ksp = 1.62 x 10¯12
Ksp = 1.62 x 10¯12
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