Which of the following is most soluble?

# Which of the following is most soluble?

1. A

$\mathrm{CuS}\left({K}_{\mathrm{sp}}^{\circ }=8×{10}^{-37}\right)$

2. B

${\mathrm{Ag}}_{2}\mathrm{S}\left({K}_{\mathrm{sp}}^{\circ }=6×{10}^{-51}\right)$

3. C

${\mathrm{Bi}}_{2}{\mathrm{S}}_{3}\left({K}_{\mathrm{sp}}^{\circ }=1×{10}^{-70}\right)$

4. D

$\mathrm{MnS}\left({K}_{\mathrm{sp}}^{\circ }=7×{10}^{-16}\right)$

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### Solution:

The following is most soluble is $\mathrm{MnS}\left({K}_{\mathrm{sp}}^{\circ }=7×{10}^{-16}\right)$.

An electrolyte becomes more soluble as the ionic product, or solubility product, rises. Now,

${\mathrm{K}}_{\mathrm{sp}}\left(\mathrm{MnS}\right)>{\mathrm{K}}_{\mathrm{sp}}\left(\mathrm{CuS}\right)>{\mathrm{K}}_{\mathrm{sp}}\left({\mathrm{Ag}}_{2}\mathrm{S}\right)>{\mathrm{K}}_{\mathrm{sp}}\left({\mathrm{Bi}}_{2}{\mathrm{S}}_{3}\right)$

MnS will be the most soluble as a result.

Hence the option D is correct.

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