$K_{a}$ for ascorbic acid, $H A s c,$ is $5 \times 10^{- 5}$ . Calculate the hydrogen ion concentration and percentage hydrolysis in an aqueous solution in which the concentration of ${A s c}^{-}$ ions is $0.02 M$ .

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Solution

Degree of hydrolysis $h = \sqrt{\frac{K_{w}}{C K_{a}}}$
$= \sqrt{\frac{10^{- 14}}{0.02 \times 5 \times 10^{- 5}}} = 10^{- 4}$
% hydrolysis $= 0.01$
$p H = \frac{1}{2} [p K_{w} + p K_{a} + log C]$
$= \frac{1}{2} [14 + (- log 5 \times 10^{- 5}) + log 0.02] = 8.3$
$[H^{+}] = 5 \times 10^{- 9} M$

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