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On addition of increasing amount of AgNO3 to 0.1 M each of NaCl and NaBr in a solution, what % of Br^- ion get precipitated when Cl^- ion starts precipitating.

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On addition of increasing amount of AgNO3 to 0.1 M each of NaCl and NaBr in a solution, what % of Br- ion get precipitated when Cl- ion starts precipitating. Ksp (AgCl) = 1.0 x 10-10, Ksp (AgBr) = 1 x 10-13

(a) 0.11

(b) 99.9

(c) 0.01

(d) 9.99

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Correct answer: (b) 99.9

Explanation:

To precipitate the AgCl

[Ag+] required

= \(\frac{K_{sp}(AgCl)}{[Cl^-]}\) = \(\frac{1.0 \times 10^{-10}}{0.1}\)

= 1.0 x 10-9 M

[Br-] left at this stage = \(\frac{K_{sp}(AgBr)}{[Ag^+]}\)

= \(\frac{1.0 \times 10^{-13}}{1.0 \times 10^{-9}}\) = 1.0 x 10-4 M

% of remaining

[Br-] = \(\frac{1.0 \times 10^{-4}}{0.1} \times 100\) = 0.1

% of Br- to be precipitated

= 100 - 0.1 = 99.9

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