1. Silver iodate is considered insoluble and magnesium iodate is considered solu
ID: 892572 • Letter: 1
Question
1. Silver iodate is considered insoluble and magnesium iodate is considered soluble.
The solubility product of AgIO3 is 3.1 x 10-8.
If 310.6 mL of a Mg(IO3)2 solution with a molar analytical concentration of 0.0348 M is added to 478.4 mL of an AgIO3 solution with a molar analytical concentration of 0.000152 M, how many grams of solid precipitate will form?
2. Copper (I) chloride is considered insoluble and barium chloride is considered soluble.
The Ksp for CuCl is 1.9 x 10-7.
If 324.1 mL of a BaCl2 solution with a molar analytical concentration of 0.0496 M is added to 325.4 mL of a CuCl solution with a molar analytical concentration of 0.000253M, how many grams of solid precipitate will form?
Explanation / Answer
AgIO3 <-> Ag+ and IO3- ksP = 3.1*10^-8
V1 = 310.6 ml of Mg(IO3)2
M1 = 0.0348
V2 = 478.4 ml AgIO3
M2 = 0.000152
grams of precipitate will form
In solution:
Vt = V1+V2 = 310.6+478.4 lm = 789 ml
Mg(IO3)2 --> Mg+2 and 2IO3-
AgIO3 <-> Ag+ and IO3-
There is a common ion, IO3-; this will shift equilibrium to the left (solid product AgIO3)
Find total mols of AgIO3 in solution
N2 = M2*V2 = 0.000152*478.4 = 0.0727 mol of AgIO3
Find mols in solution of of IO3
M1*V1 *2(mol per mol) = 2*310.6*0.0348 = 21.617 mol of IO3- in solution
Recalculate concentration
M3 = mol of IO3- / total volume = 21.617/789 = 0.02739
Calculate Solubility given this conditions
Ksp = [Ag+][IO3-]
3.1*10^-8 = [Ag+][IO3-]
Recall that [IO3-] = 0.02739
then
3.1*10^-8 = [Ag+][0.02739]
Solve for Ag+
[Ag+] = (3.1*10^-8) / (0.02739) = 1.13*10^-6 mol per liter of Ag+
This is the solubility of AgIO3
BUT we want precipitate so
Moles of AgIO3 in solution
N = M*V = 1.13*10^-6 * 789 = 0.000892 mol of AgIO3
Find out how much is going to precipitate
0.0727 - 0.000892 = 0.071808 mol are in excess, they will precipitate
calculat emass
MW of AgIO3 = 282.77 g/gmol
M = mol*MW = 0.071808*282.77 = 20.3 g of precipitate!
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