The hydroxide ion has the formula OH. The solubility-product constants for three
ID: 929839 • Letter: T
Question
The hydroxide ion has the formula OH. The solubility-product constants for three generic hydroxides are given here.
Use these values to answer the following questions.
Part A
The removal of an ion is sometimes considered to be complete when its concentration drops to 1.00×106 M. What concentration of hydroxide would cause Y2+ to "completely" precipitate from a solution?
Express the molar concentration numerically.
Part B
At a pH of 10.5, arrange the solutions containing the following generic hydroxides in order of decreasing concentration of the cation remaining in the solution (i.e., in order of increasing completeness of precipitation).
Y(OH)2, Z(OH)3, XOH
Highest concentration - Lowest concentration
Generic hydroxide Ksp XOH 1.80×108 Y(OH)2 2.20×1010 Z(OH)3 7.20×1015Explanation / Answer
a) Since - Ksp of Y(OH)2 = 2.20*10-10
Ksp = [Y2+][OH-]2
2.20*10-10 = (1.00*10-6)[OH-]2
[OH-] = 0.0148 M
b) At pH = 10.5, pOH = 3.5, hence [OH-] = 10-3.5 M = 3.162*10-4 M
For Y(OH)2, [Y2+] = 2.20*10-10 / (3.162*10-4 )2 = 0.0022 M
For Z(OH)3 , [Z3+] = 7.20*10-15 / (3.162*10-4 )3 = 2.27*10-4 M
For XOH , [X+] = 1.8*10-8 / (3.162*10-4) = 0.180 M
Therefore decreasing order of metal ion concentration = XOH > Y(OH)2, > Z(OH)3
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