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question :

Explain if a solution contains both I− and Cl− at about 0.01 M, can we determine the amount of Cl− and I− independently by using gravimetric analysis?

yes

add [AG+] to precipitate out the I- first ( ksp is smaller)

0.01M * (0.01%/100%) = 1.0E-6 M I-

ksp = [Ag+][I-]

8.5E-17 = [Ag+](1.0E-6)

[Ag+] = 8.5E-11 M <------ add to precipitate AgI

increase [Ag+] to precipitate Cl- left