Question

A mineral sample is analyzed for its cobalt and calcium content. A sample is dissolved, and then the cobalt and calcium are precipitated as Co(OH)2(s) and Ca(OH)2(s). At what pH can Co(OH)2(s) be separated from Ca(OH)2(s) at 25 °C? Assume that an effective separation requires a maximum concentration of the less soluble hydroxide of 1× 10^–6 M.

Please help! So far I have gotten 12.46 as the PH and .0291 as the concentration but it's wrong! Help ! I'm super confused.... Thank you in advance!!

Answers

If we are to obtain the same answers we should have the Ksp values you're working with.
These are the given Ksp values to use:

Ksp of Co(OH)2 is 5.9x10^-15 M^3
Ksp of Ca(OH)2 is 5.0x10^-6 M^3
I would do this.
Ksp Co(OH)2 = 5.9E-15 so
(OH^-) = sqrt(Ksp/1E-6)
Then convert OH to pH. I get an answer of something like 9.9 or so.
Thanks Dr.Bob!! I was then able to plug into the second equation and found the concentration of calcium! You were great help! Thanks again :)

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