$19.5 \text{ g}$ of fluoroacetic acid (molar mass = $78 \text{ g mol}^{-1}$) is dissolved in $500 \text{ g}$ of water at $298 \text{ K}$. The depression in the freezing point of water was $1^\circ\text{C}$. What is $K_a$ of fluoroacetic acid? (For water, $K_f = 1.86 \text{ K kg mol}^{-1}$). Assume molarity and molality to have same values.

  • A
    $10^{-6}$
  • B
    $4 \times 10^{-4}$
  • C
    $3 \times 10^{-5}$
  • D
    $3 \times 10^{-3}$

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