The measured freezing point depression for a $0.1 \ m$ aqueous $CH_{3}COOH$ solution is $0.19^{\circ} C$. The acid dissociation constant $K_{a}$ at this concentration will be (Given, $K_{f}$ the molal cryoscopic constant $= 1.86 \ K \ kg \ mol^{-1}$)

  • A
    $4.76 \times 10^{-5}$
  • B
    $4 \times 10^{-5}$
  • C
    $8 \times 10^{-5}$
  • D
    $2 \times 10^{-5}$

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