The solubility product for Mg3(PO4)2 is 6.3x10^-26. What is the solubility of Mg
ID: 881845 • Letter: T
Question
The solubility product for Mg3(PO4)2 is 6.3x10^-26. What is the solubility of Mg3(PO4)2 in pure water, in grams per liter?A) 1.7x10^-23 g/L B) 3.4x10^-7 g/L C) 9.4x10^-4 g/L * D) 1.2x10^-3 g/L E) 2.4x10^-3 g/L The solubility product for Mg3(PO4)2 is 6.3x10^-26. What is the solubility of Mg3(PO4)2 in pure water, in grams per liter?
A) 1.7x10^-23 g/L B) 3.4x10^-7 g/L C) 9.4x10^-4 g/L * D) 1.2x10^-3 g/L E) 2.4x10^-3 g/L The solubility product for Mg3(PO4)2 is 6.3x10^-26. What is the solubility of Mg3(PO4)2 in pure water, in grams per liter?
A) 1.7x10^-23 g/L B) 3.4x10^-7 g/L C) 9.4x10^-4 g/L * D) 1.2x10^-3 g/L E) 2.4x10^-3 g/L
Explanation / Answer
Solution
Given data
Mg3(PO4)2 ksp =6.3E-26
Solubility of Mg3(PO4)2 = ?
Lets first write the dissociation equation for the Mg3(PO4)2
Mg3(PO4)2 ----------- > 3 Mg^2+ + 2PO4^2-
3x 2x
Ksp = [Mg^2+]3[PO4^3-]2
Lets put the values in the formula
6.3E-26 = [3x]3[2x]2
6.3E-26 = 27x3 * 4x2
6.3E-26 = 108x5
6.3E-26 / 108 = x5
5.833E-28=x5
(5.833E-28)^1/5 =x
3.57E-6 =x
Therefore the molar solubility of the Mg3(PO4)2 = 3.57E-6 M
Now lets calculate this molar solubility into g/L
Solubility of the Mg3(PO4)2 = (3.57E-6 mol per L )* (262.8577 g/ 1 mol ) = 9.4E-4 g/L
Therefore solubility of the Mg3(PO4)2 in pure water = 9.4E-4 g/L
Therefore option 'C is the correct answer.
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