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Ostwald Dilution Law

The solubilit...

Question

The solubility of silver acetate in pure water at $25^{o} C$ $8.35 g . {l i t r e}^{- 1}$ and $61.8 g . {l i t r e}^{- 1}$ in an acid solution of $p H = 3$ . Calculate:
(i) $K_{s p}$ of silver acetate and
(ii) dissociation constant of acetic acid.

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Solution

$(i)$ ${C H}_{3} C O O A g (m w) = 167$
$S = \frac{8.35}{167} m o l / l i t r e = 0.05 M$
$K_{s p} = S^{2} = {(0.05)}^{2} = 2.5 \times 10^{- 3} M$
$(i i)$ Use expression of salt hydrolysis to calculate $K_{a}$ .
$p H = \frac{1}{2} [p K_{w} + p K_{a} + log C]$
$K_{a} = 1.8 \times 10^{- 5}$

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