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The freezing point of a solution containing 0.2 g of acetic acid in 20.0 g benzene is lowered by \( 0.45^{\circ} \mathrm{C} \). The degree of association of acetic acid in benzene is: [Assume acetic acid dimerizes in benzene and \( K_{f} \) for benzene \( =\mathbf{5 . 1 2} \mathbf{K} \) \( \left.\mathrm{kg} \mathrm{mol}^{-1}\right] \)

1. \( 94.5 \% \)
2. \( 54.9 \% \)
3. \( 78.2 \% \)
4. 100\%

Correct answer: \( 78.2 \% \)

Solution

The degree of association of acetic acid in benzene can be calculated using the freezing point depression formula and the given data. [AI-generated key — verify before high-stakes use]

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