Q. What should be the pH of solution to dissolve the $Cr(OH)_{3}\ precipitate$? [Given, $\left\lbrack Cr^{3 +} \right\rbrack = 1.0\ \frac{mol}{L},\ K_{sp} = 6 \times 10^{- 31})$

A) 2.0
B) 3.0
C) $5.0$
D) 4.0
Explanation

(c)
$Cr(OH)_{3} \rightleftharpoons {Cr}^{3 +} + 3{OH}^{-}$
For precipitate to be dissolved,
$K_{sp} \leq \left\lbrack {Cr}^{3 +} \right\rbrack\left\lbrack {OH}^{-} \right\rbrack^{3}$
or $6 \times 10^{- 31} \leq \lbrack 0.1\rbrack\left\lbrack {OH}^{-} \right\rbrack^{3}$
$\therefore$ $\lbrack{OH}^{-}\rbrack \geq 1.79 \times 10^{- 10}$
So, $\lbrack H^{+}\rbrack \leq \frac{10^{- 14}}{1.79 \times 10^{- 10}} \leq 5.59 \times 10^{- 5}$
$pH \geq - \log{\left( 5.59 \times 10^{- 5} \right)\ \ \ or\ pH \geq 4.253}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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