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AP EAMCET · Chemistry · Solutions

When \(36 \mathrm{~g}\) of a non-volatile, non-electrolytic solute having the empirical formula \(\mathrm{CH}_2 \mathrm{O}\) is dissolved in \(1.2 \mathrm{~kg}\) of water, the solution freezes at \(-0.93^{\circ} \mathrm{C}\). The molecular formula of the solute is \(\left(K_f\right.\) of water \(\left.=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)\)

  1. A \(\mathrm{CH}_2 \mathrm{O}\)
  2. B \(\mathrm{C}_2 \mathrm{H}_4 \mathrm{O}_2\)
  3. C \(\mathrm{C}_3 \mathrm{H}_6 \mathrm{O}_3\)
  4. D \(\mathrm{C}_4 \mathrm{H}_8 \mathrm{O}_4\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\mathrm{C}_2 \mathrm{H}_4 \mathrm{O}_2\)

Step-by-step Solution

Detailed explanation

\[ \begin{aligned} \Delta t & =i K_f m \\ \Delta t & =\text { Depression in freezing point } \\ & =\left(t_1-t_2\right)=(0-(-0.93)) \\ \Delta t & =+0.93^{\circ} \mathrm{C} \end{aligned} \]…