Question

The value of $K_{sp}$ is $HgC{l}_2$ at room temperture is $4.0\times {10}^{-15}$. The concentration of $C{l}^{⊝}$ ion in its aqueous solution at saturation point is:

• A. $1\times {10}^{-5}$
• B. $2\times {10}^{-5}$
• C. $2\times {10}^{-15}$
• D. $8\times {10}^{-15}$

Answer 1

The correct option is A $1\times {10}^{-5}$

Let solubility of salt $HgC{l}_2$ is $S$.

$HgC{l}_2\to H{g}^{+2}+2C{l}^{-}$

$S$ $2S$

Its solubility product $=\left(2S{)}^2\right(S)=4S^3=4\times {10}^{-15}$

So, concentration of $C{l}^{⊝}$ ion $=1\times {10}^{-5}$