Which one of the following is most soluble?

  • A
    $CuS$ $(K_{sp} = 8 \times 10^{-37})$
  • B
    $MnS$ $(K_{sp} = 7 \times 10^{-16})$
  • C
    $Bi_2S_3$ $(K_{sp} = 1 \times 10^{-70})$
  • D
    $Ag_2S$ $(K_{sp} = 6 \times 10^{-51})$

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In qualitative analysis,the metals of group $I$ can be separated from other ions by precipitating them as chloride salts. $A$ solution initially contains $Ag^{+}$ and $Pb^{2+}$ at a concentration of $0.10 \, M$. Aqueous $HCl$ is added to this solution until the $Cl^{-}$ concentration is $0.10 \, M$. What will the concentrations of $Ag^{+}$ and $Pb^{2+}$ be at equilibrium? ($K_{sp}$ for $AgCl = 1.8 \times 10^{-10}$,$K_{sp}$ for $PbCl_2 = 1.7 \times 10^{-5}$)

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