The of , AgCl, AgBr and AgI are respectively, , , , . Which one of the following salts will precipitate last if solution is added to the solution containing equal moles of NaCl, NaBr, NaI and ? [2015]

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Q.
The $K_{s p}$ of ${Ag}_{2} {CrO}_{4}$ , AgCl, AgBr and $AgI$ are respectively, $1.1 \times 10^{- 12}$ , $1.8 \times 10^{- 10}$ , $5.0 \times 10^{- 13}$ , $8.3 \times 10^{- 17}$ . Which one of the following salts will precipitate last if ${AgNO}_{3}$ solution is added to the solution containing equal moles of NaCl, NaBr, $NaI$ and ${Na}_{2} {CrO}_{4}$ [2015]

1 AgBr

2 ${Ag}_{2} {CrO}_{4}$

3 $AgI$

4 AgCl

Ans.
(2)

Salt $K_{s p}$ Solubility

${Ag}_{2} {CrO}_{4}$ $1.1 \times 10^{- 12} = 4 s^{3}$ $s = \sqrt[3]{\frac{K_{s p}}{4}} = 0.65 \times 10^{- 4}$

AgCl $1.8 \times 10^{- 10} = s^{2}$ $s = \sqrt{K_{s p}} = 1.34 \times 10^{- 5}$

AgBr $5 \times 10^{- 13} = s^{2}$ $s = \sqrt{K_{s p}} = 0.71 \times 10^{- 6}$

$AgI$ $8.3 \times 10^{- 17} = s^{2}$ $s = \sqrt{K_{s p}} = 0.9 \times 10^{- 8}$

Solubility of ${Ag}_{2} {CrO}_{4}$ is highest, thus it will be precipitated at last.

Solution

1 AgBr

2 ${Ag}_{2} {CrO}_{4}$

3 $AgI$

4 AgCl

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Salt	$K_{s p}$	Solubility
${Ag}_{2} {CrO}_{4}$	$1.1 \times 10^{- 12} = 4 s^{3}$	$s = \sqrt[3]{\frac{K_{s p}}{4}} = 0.65 \times 10^{- 4}$
AgCl	$1.8 \times 10^{- 10} = s^{2}$	$s = \sqrt{K_{s p}} = 1.34 \times 10^{- 5}$
AgBr	$5 \times 10^{- 13} = s^{2}$	$s = \sqrt{K_{s p}} = 0.71 \times 10^{- 6}$
$AgI$	$8.3 \times 10^{- 17} = s^{2}$	$s = \sqrt{K_{s p}} = 0.9 \times 10^{- 8}$

Solution

Q. The Ksp of Ag2CrO4, AgCl, AgBr and AgI are respectively, 1.1×10-12, 1.8×10-10, 5.0×10-13, 8.3×10-17. Which one of the following salts will precipitate last if AgNO3 solution is added to the solution containing equal moles of NaCl, NaBr, NaI and Na2CrO4 [2015]

1 AgBr

2 Ag2CrO4

3 AgI

4 AgCl

Ans. (2) Salt Ksp Solubility Ag2CrO4 1.1×10-12=4s3 s=Ksp43=0.65×10-4 AgCl 1.8×10-10=s2 s=Ksp=1.34×10-5 AgBr 5×10-13=s2 s=Ksp=0.71×10-6 AgI 8.3×10-17=s2 s=Ksp=0.9×10-8 Solubility of Ag2CrO4 is highest, thus it will be precipitated at last.

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2 ${Ag}_{2} {CrO}_{4}$

3 $AgI$