Equilibrium Ques 67

67. $pH$ of a saturated solution of $Ca(OH)_2$ is $9$ . The solubility product $(K _{s p})$ of $Ca(OH)_2$ is:

[2019]

(a) $0.5\times 10^{-15}$

(b) $0.25\times 10^{-10}$

(c) $0.125\times 10^{-15}$

(d) $0.5 \times 10^{-10}$

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Answer:

Correct Answer: 67.(a)

Solution:

  1. (a) $Ca(OH)_2 \rightleftharpoons Ca^{2+}+2 OH^{-}$ $pH=9,

pOH=14-9=5$

$[OH]=10^{-5}$

$[Ca^{2+}]=\frac{10^{-5}}{2}$

$K _{s p}=[Ca^{2+}][OH^{-}]_2=(\frac{10^{-5}}{2}) \times(10^{-5})^{2}$

$ =0.5 \times 10^{-15} $