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A determination the molar solubility and the K_sp
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5. Vol HCl added: 12.2 mL

6. Mol of HCl added

n(HCl) = Vol(HCl) x M = 12.2 mL x 0.0480 mmol/mL = 0.5856 mmol

7. Moles of OH- in saturated solution. The number of moles of OH- in the saturated solution should be exactly the same as the number of moles of HCl used in the titration since the reaction has a relation one to one:


HCl + OH (aq)H20 Cl (aq)

So n(OH-) = 0.5856 mmol

8. [OH-] = 0.5856 mmol / 25 mL = 0.0234 mmol/mL (which is the same as mol/L)

9. [Ca+2]

We can derive the concentration of calcium ions from the solubility reaction:

In the solubility reaction we can see that for each mol of Calcium ion dissolved there are 2 moles of OH- ion. So calcium concentration should be half of the [OH-]

[Ca+2] = [OH-]/2 = 0.0234 M / 2 = 0.0117 M

10. Molar solubility is the same [Ca+2] concentration, this is 0.0117 M

11. Ksp

We apply the equation:

Ksp = (0.0117) x (0.0234)2 = 6.4 x 10-6

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