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# pH for Magnesium

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Magnesium hydroxide has a Ksp of 1.8 x 10-11. At what pH will the magnesium from a 0.018 M solution of magnesium nitrate precipitate? In addition, if you take 0.1 mole of Mg(OH)2 and place it in a 100 ml solution of 1.00 x 10-4 M NaF, will MgF2 (Ksp = 6.5 x 10-8) form and if it does how much will form? Ka = 3.53 x 10-4 for HF.

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This solution calculates the pH of precipitation of magnesium nitrate.

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Magnesium hydroxide has a Ksp of 1.8 x 10-11. At what pH will the magnesium from a 0.018 M solution of magnesium nitrate precipitate?

Mg(OH)2(s)  Mg2+(aq) + 2OH- (aq)
-s +0.018 +2s

Ksp = [Mg2+][OH-]2
= [0.018][2s]2

1.8 x 10-11 = [0.018][2s]2

= [0.018]4s2

1.8 x10-11/0.018 = 4s2

...s = 1.58 x 10-5

2s = 3.16 x 10-5 = ...

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