Chemical And Ionic Equilibrium Result Question 17

17. A solution which is $10^{-3} \mathrm{M}$ each in $\mathrm{Mn}^{2+}, \mathrm{Fe}^{2+}, \mathrm{Zn}^{2+}$ and $\mathrm{Hg}^{2+}$ is treated with $10^{-16} \mathrm{M}$ sulphide ion. If $K_{\text {sp }}$ of $\mathrm{MnS}, \mathrm{FeS}, \mathrm{ZnS}$ and HgS are $10^{-15}, 10^{-23}, 10^{-20}$ and $10^{-54}$ respectively, which one will precipitate first?

(2003, 1M)

(a) FeS

(b) MgS

(c) HgS

(d) ZnS

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Answer:

Correct Answer: 17. ( c )

Solution:

  1. Minimum $\mathrm{S}^{2-}$ concentration would be required for precipitation of least soluble $HgS$ .

For $\mathrm{HgS}, \mathrm{S}^{2-}$ required for precipitation is

$\left[\mathrm{S}^{2-}\right]=\frac{K_{\mathrm{sp}}}{\left[\mathrm{Hg}^{2+}\right]}=\frac{10^{-54}}{10^{-3}}=10^{-51} \mathrm{M}$