Which is the most soluble from the following

Which is the most soluble from the following
  1. $\mathrm{Bi}_{2} \mathrm{~S}_{3}\left[\mathrm{~K}_{\mathrm{sp}}=1 \times 10^{-70}ight]$
  2. $\operatorname{MnS}\left[\mathrm{K}_{\mathrm{sp}}=7 \times 10^{-16}ight]$
  3. $\operatorname{CuS}\left[\mathrm{K}_{\mathrm{sp}}=8 \times 10^{-37}ight]$
  4. $\mathrm{Ag}_{2} \mathrm{~S}\left[\mathrm{~K}_{\mathrm{sp}}=6 \times 10^{-51}ight]$

Solution

Solubility is directly proportional to solubility product. Hence, as $\mathrm{K}_{\mathrm{sp}}$ increases solubility also increases. Most soluble salt is MnS.
$\mathrm{MnS}=\sqrt{{\mathrm{K}}_{\mathrm{sp}}}=\sqrt{7 \times 10^{-16}}=2.5 \times 10^{-8}$ *

Asked in: JEE-TOPICTESTS-CHEMISTRY

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