6-2.Equilibrium-II (Ionic Equilibrium)
hard

$298\; \mathrm{K}$ પર $\mathrm{Cr}(\mathrm{OH})_{3}$ નો $K_{sp}=6.0 \times 10^{-31}$ છે. તો

$\mathrm{Cr}(\mathrm{OH})_{3}$ ના સંતૃપ્ત દ્રાવણમાં હાઇડ્રોક્સાઇડ આયનની સાંદ્રતા કેટલી થશે ?

A

$\left(18 \times 10^{-31}\right)^{1 / 4}$

B

$\left(2.22 \times 10^{-31}\right)^{1 / 4}$

C

$\left(4.86 \times 10^{-29}\right)^{1 / 4}$

D

$\left(18 \times 10^{-31}\right)^{1 / 2}$

(JEE MAIN-2020)

Solution

$\mathrm{Cr}(\mathrm{OH})_{3}(\mathrm{s}) \rightleftharpoons \mathrm{Cr}^{3+}(\mathrm{aq} .)+3 \mathrm{OH}^{-}(\mathrm{aq} .)$

$\mathrm{k}_{\mathrm{sp}}=27(\mathrm{s})^{4}=6 \times 10^{-31}$

$\Rightarrow[3(\mathrm{s})]^{4}=18 \times 10^{-31}$

$\left[\mathrm{OH}^{-}\right]=3(\mathrm{s})=\left[18 \times 10^{-31}\right]^{1 / 4}$

Standard 11
Chemistry

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