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JIPMER 2005
Exam
JIPMER
Year
2005
Subject
Chemistry
Chapter
Ionic Equilibrium

JIPMER 2005 · Chemistry · Ionic Equilibrium

Which has minimum solubility?

Which has minimum solubility?

Options

  1. ABi2 S3\mathrm{Bi}_2 \mathrm{~S}_3
  2. BAg2 S\mathrm{Ag}_2 \mathrm{~S}
  3. CCoS
  4. DPbS

Correct answer

B. Ag2 S\mathrm{Ag}_2 \mathrm{~S}

Step-by-step solution

Solubilities of salts are as follows : Bi2 S3=Ksp1085=1.6×10−721085=1.7×10−15Ag2 S=Ksp43=1.6×10−4943=3.4×10−17PbS=Ksp=1.1×10−29=3.3×10−15CoS=Ksp=2×10−27=4.5×10−14\begin{aligned} \mathrm{Bi}_2 \mathrm{~S}_3 & =\sqrt[5]{\frac{K_{s p}}{108}} \\ & =\sqrt[5]{\frac{1.6 \times 10^{-72}}{108}}=1.7 \times 10^{-15} \\ \mathrm{Ag}_2 \mathrm{~S} & =\sqrt[3]{\frac{K_{s p}}{4}}=\sqrt[3]{\frac{1.6 \times 10^{-49}}{4}} \\ & =3.4 \times 10^{-17} \\ \mathrm{PbS} & =\sqrt{K_{s p}}=\sqrt{1.1 \times 10^{-29}} \\ & =3.3 \times 10^{-15} \\ \mathrm{CoS} & =\sqrt{K_{s p}}=\sqrt{2 \times 10^{-27}}=4.5 \times 10^{-14}\end{aligned} Hence, Ag2 S\mathrm{Ag}_2 \mathrm{~S} is least soluble. So minimum solubility is of Ag2 S\mathrm{Ag}_2 \mathrm{~S} as its force of attraction is greatest.
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