Accumulation of lactic acid $({HC}_{3} H_{5} O_{3})$ , a monobasic acid in tissues leads to pain and a feeling of fatigue. In a 0.10 M aqueous solution, lactic acid is 3.7% dissociates. The value of dissociation constant, $K_{a}$ , for this acid will be

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$1.4 \times 10^{- 5}$

$3.7 \times 10^{- 4}$

$1.4 \times 10^{- 4}$

$2.8 \times 10^{- 4}$

answer is B.

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Detailed Solution

$Degree of dissociation, α = \frac{3.7}{100} = 0.037 According to Ostwald's formula, K_{a} = α^{2} C = (0.037)^{2} \times 0.10 = 1.369 \times 10^{- 4} \approx 1.4 \times 10^{- 4}$

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