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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

The freezing point of benzene decreases by \(0.45^o C\) when \(0.2\,g\) of acetic acid is added to \(20\, g\) of benzene. If acetic acid associates to form a dimer in benzene, percentage association of acetic acid in benzene will be .......... \(\%\) \((K_f \) for benzene \(= 5.12 \,K\, kg\, mol^{-1})\)

  1. A \(64.6\)
  2. B \(80.4\)
  3. C \(74.6\)
  4. D \(94.6\)
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Answer & Solution

Correct Answer

(D) \(94.6\)

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Detailed explanation

\( \quad \quad \quad \quad 2 \mathrm{CH}_{3} \mathrm{COOH} \rightleftharpoons\left(\mathrm{CH}_{3} \mathrm{COOH}\right)_{2} \) \(Initial\; moles\quad \quad 1 \quad \quad \quad \quad 0\) \(at\; equilibrium \quad 1-\alpha\quad \quad \alpha / 2\) Total number of moles at…