The freezing-point depression of a solution of weak acid is

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Problem

The freezing-point depression of a

0.1\,\text{M}

solution of weak acid

\text{HX}

0.20^\circ\text{C}

. Find the equilibrium constant for

\text{HX}(\text{aq})\rightleftharpoons\text{H}^+(\text{aq})+\text{X}^-(\text{aq})

. Given

K_f

for water is

1.8\,\text{kg mol}^{-1}\text{K}

and molality equals molarity.