Equilibrium of a Sparingly Soluble Ionic Compound

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daphnelee-mh
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Homework Statement
I can't get the correct answer, isn't it if Ksp>[Mn2+][OH-]^2, there is no precipitation. How to get the specific concentration of [OH-]?
Relevant Equations
Kb = [NH4+][OH-]/[NH3]
Ksp=[Mn2+][OH-]^2
Printed chemistry problem: 18. 100.0 mL of the mixed solution of NH3-NH4Cl containing 0.10 mol L-1 NH3 (Kb(NH3 H2O) = 1.78 x 10-5) is added to 100 mL of 0.20 mol L-1 MnCl2. If there is no precipitation of Mn(OH)2 (Ksp = 2.06 x 10-13), what is the mass of NH4Cl in the mixed solution?

Answer given is 6.61g.
 
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You are looking for the highest concentration of OH- that doesn't produce precipitation, don't you?
 
You have worked out the concentration in g/L. What is the mass in the actual solution?
 
It is not quite equal to the given answer; I think that's because you rounded off [OH-] to 1.4e-6 M instead of 1.435e-6 M. Keep the extra digits through the calculation, and round off to the appropriate sig figs at the end.