Ionic EquilibriumHard

Question

If the pH of 0.001 M potassium propionate solution be 8.0, then the dissociation constant of propionic acid will be

Options

A.10–3
B.10–2
C.10–2.5
D.10–5

Solution

Potassium propionate is the salt of strong base and weak acid and hence.

$P^{H} = 7 + \frac{1}{2}\left( P^{K_{a}} + \log C \right) $$$\text{Or, }8 = 7 + \frac{1}{2}\left( P^{K_{a}} + \log 0.001 \right) $$$\Rightarrow P^{K_{a}} = 5 \Rightarrow K_{a} = 10^{- 5}$

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