Q16 / 155 · WBJEE 2020 · Chemistry

$\mathrm{K}_{f}$ (water) $=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$. The temperature at which ice begins to separate from a mixture of 10 mass $\%$ ethylene glycol is

  • A
    $-1.86^{\circ} \mathrm{C}$
  • B
    $-3.72^{\circ} \mathrm{C}$
  • Correct answer
    C
    $-3.3^{\circ} \mathrm{C}$
  • D
    $-3^{\circ} \mathrm{C}$

Solution

Hint: $\Delta \mathrm{T}_{\mathrm{f}}=\mathrm{K}_{\mathrm{f}} \times \mathrm{m}$ $=1.86\left(\frac{10}{62} \times \frac{1000}{90}\right)$ $=3.3^{\circ} \mathrm{C}$ $\therefore$ Temparature at which ice begins to separate $=3.3^{\circ} \mathrm{C}$

Hence, the correct answer is option: 'C'.

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