$Ba(OH)_2$ના સંતૃપ્ત દ્રાવણ માટે $pH$ $12$ છે.$Ba(OH)_2$ના દ્રાવ્ય નીપજ માટે $(K_{sp})$......છે

Question

AIPMT 2012, Medium

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Solution

b
$\mathrm{pH}$ of solution $=12$

$\left[\mathrm{H}^{+}\right]=10^{-12}$

$\left[\mathrm{OH}^{-}\right]=\frac{10^{-14}}{10^{-12}}=10^{-2}$

$\mathrm{Ba}(\mathrm{OH})_{2} \rightleftharpoons \mathrm{Ba}^{2+}+2 \mathrm{OH}^{-}$

$\quad \quad \quad \quad \quad \quad s \quad \quad \quad 2 s$

$2 s=10^{-2} \Rightarrow s=\frac{10^{-2}}{2}$

$K_{s p}=(s)(2 s)^{2}=4 s^{3}$

$=4 \times\left(\frac{10^{-2}}{2}\right)^{3}=\frac{4}{8} \times 10^{-6}$

$=5 \times 10^{-7}$

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