Ionic EquilibriumHard

Question

At what minimum pH will 10–3 M – Al(OH)3 go into solution (V = 1 L) as Al(OH)4 and at what maximum pH, it will be dissolved as Al3+? Given: log 2 = 0.3

Al(OH)4 ­$\rightleftharpoons$Al3+ + 4OH; Keq = 1.6 × 10–34

Al(OH)3 $\rightleftharpoons$Al3+ + 3OH; Keq = 8.0 × 10–33

Options

A.9.3, 4.7
B.4.7, 9.3
C.9.3, 9.3
D.4.3, 9.3

Solution

$Al(OH)_{3}(s) + OH^{-} \rightleftharpoons Al(OH)_{4}^{-};$

From question ? 10-3 M

$K = \frac{8 \times 10^{- 33}}{1.6 \times 10^{- 34}} = 50$

$50 = \frac{10^{- 3}}{\left\lbrack OH^{-} \right\rbrack} \Rightarrow \left\lbrack OH^{-} \right\rbrack = 2 \times 10^{- 5}\text{ M} \Rightarrow P^{H} = 9.30$

As the calculated [OH] is minimum OH, PH is minimum.

$Al(OH)_{3}(s) \rightleftharpoons \underset{10^{- 3}M}{Al^{3 +}} + 3OH^{-};K = 8 \times 10^{- 33} $$${8 \times 10^{- 33} = 10^{- 3} \times \left\lbrack OH^{-} \right\rbrack \Rightarrow \left\lbrack OH^{-} \right\rbrack = 2 \times 10^{- 10}\text{ M} }{\Rightarrow P^{H} = 4.30}$$

As the calculated [OH] is maximum OH, PH is maximum.

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