MCQ
Accumulation of lactic acid $(HC_3H_5O_3),$ 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
  • A
    $1.4 \times 10^{-5}$
  • $1.4 \times 10^{-4}$
  • C
    $3.7 \times 10^{-4}$
  • D
    $2.8 \times 10^{-4}$

Answer

Correct option: B.
$1.4 \times 10^{-4}$
b
Degree of dissociation, $\alpha=3.7=0.037$

$K_{a}=\alpha^{2} C=(0.037)^{2} \times 0.10$

$=1.369 \times 10^{-4} \approx 1.4 \times 10^{-4}$

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