The solubility of

Question:

The solubility of $\mathrm{Ca}(\mathrm{OH})_{2}$ in water is :

[Given : The solubility product of $\mathrm{Ca}(\mathrm{OH})_{2}$ in water $=5.5 \times 10^{-6}$ ]

  1. $1.77 \times 10^{-6}$

  2. $1.11 \times 10^{-6}$

  3. $1.11 \times 10^{-2}$

  4. $1.77 \times 10^{-2}$


Correct Option: , 3

Solution:

$\mathrm{k}_{\mathrm{sp}}=\mathrm{s}(2 \mathrm{~s})^{2} \Rightarrow 5.5 \times 10^{-6}=4 \mathrm{~S}^{3}$

$\Rightarrow \mathrm{s}=\left(\frac{5.5}{4}\right)^{\frac{1}{3}} \times 10^{-2}=1.11 \times 10^{-2}$

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