Q. The solubility of $AgCl\ in\ 0.2\ M\ NaCl\ is$ $(K_{sp}\ of\ AgCl = 1.8 \times 10^{- 10})$

A) $1.8 \times 10^{- 11}\ M$
B) $9 \times 10^{- 10}\ M\$
C) $6.5 \times 10^{- 12}\ M\$
D) $5.6 \times 10^{- 11}$ M
Explanation

(b)
Let the solubility of $AgCl\ is\ S$
$AgCl = {Ag}^{+} + {Cl}^{-}$
$s$ $s$
[${Cl}^{-}$] from $NaCl$=0.2
Concentration of ${Cl}^{-} = S + 0.2$
$K_{sp} = S(S + 0.2)$
$1.8 \times 10^{- 10} = S^{2} + 0.2S$
($S$ is very small as $AgCl$ is sparingly soluble in water, thus $S^{2} < < < 1$)
$1.8 \times 10^{- 10} = 0.2S$
$S = \frac{1.8 \times 10^{- 10}}{0.2}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 9.0 \times 10^{- 10}$ M

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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