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Silver chloride, AgCI, is a sparingly soluble solid. Answer the following questi

ID: 1007231 • Letter: S

Question

Silver chloride, AgCI, is a sparingly soluble solid. Answer the following questions about a saturated solution prepared by placing solid silver chloride in a 1.67 times 10^-5 M NaCI(aq) solution. At some temperature, the silver ion concentration, [Ag+], was found to be 6.81 times 10^-6 M. What is the concentration of chloride ions, [Cl^-], in the resulting solution? What is the molar solubility of silver chloride, AgCI, in 1.67 times 10^-5 M NaCI? The solubility of AgCI(s) in pure water is 1.26 times 10^-5 M. Did the solubility increase or decrease in 1.67 times 10^-5 M NaCI solution? What is the solubility product constant, K_sp, for silver chloride, AgCI?

Explanation / Answer

d) given molar solubility of AgCl is pure water

S = 1.26 x 10-5 M(given in C)

AgCl <=======> Ag+ + Cl-

Ksp = [Ag+][Cl-]

Ksp = [1.26 x 10-5][1.26 x 10-5]

Ksp = 1.6 x10-10

a)

Finding the solubiltity of [Cl-] in resulting solution

NaCl has Chlorides in common so there will be common ion effect

Concentration of [Ag+] = X

Concentration of [Cl-] = X+1.67x10-5

Using Ksp = 1.6 x10-10

Ksp = [Ag+][Cl-]

Ksp = (x)(x+1.67x10-5)

We have to solve for X

1.6 x10-10 = (x)(x+1.67x10-5)

by solving it we get

X = 6.8x10-6 M

[Cl-] = 6.8x10-6 + 1.67x10-5 = 2.35 x10-5 M

Concentration of chloride in resulting solution = [Cl-]= 2.35 x10-5 M

b)

Molar solubility of AgCl was found in above problem = x =6.8x10-6 M

Molar solubility of AgCl in 1.67 x10^-5 M NaCl = 6.8x10-6 M

C)

The solubility AgCl decreased

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