Solubility Products

To determine the solubility product of given that the of its saturated solution is 9, we need to follow a few logical steps. Let's break down the solution:

1. First, recall that the of a solution is related to its by the equation: . Given that , we can calculate as follows: .
2. Next, using the relation between and the concentration of hydroxide ions : , substitute the calculated : .
3. Considering the dissolution equation of : , the stoichiometry shows that for every mole of that dissolves, one mole of and two moles of are produced. Let the solubility of be , so: and .
4. Since we know , we equate this to : . Solving for , we get: .
5. The solubility product is given by: . Substitute and : .
6. Calculate : .

Thus, the correct answer is .

This step-by-step approach not only provides the correct answer but also clarifies the relationship between the pH, solubility, and solubility product.