Q16 / 150 · MHT CET 2022 (07 Aug Shift 1) · Chemistry

What is the relation between the depression in freezing point and molar mass of non-volatile solute?

  • A
    $\mathrm{M}_2=\frac{1000 \mathrm{~K}_{\mathrm{f}} \mathrm{W}_1}{\Delta \mathrm{T}_{\mathrm{f}} \mathrm{W}_2}$
  • B
    $\mathrm{M}_2=\frac{\Delta \mathrm{T}_{\mathrm{f}} \mathrm{W}_1}{1000 \mathrm{~K}_{\mathrm{f}} \mathrm{W}_2}$
  • C
    $\mathrm{M}_2=\frac{1000 \Delta \mathrm{T}_{\mathrm{f}} \mathrm{W}_2}{\mathrm{~K}_{\mathrm{f}} \mathrm{W}_1}$
  • Correct answer
    D
    $\mathrm{M}_2=\frac{1000 \mathrm{~K}_{\mathrm{f}} \mathrm{W}_2}{\Delta \mathrm{T}_{\mathrm{f}} \mathrm{W}_1}$

Solution

$\Delta_{\mathrm{f}}^{\mathrm{T}}=\mathrm{K}_{\mathrm{f}} \cdot \frac{\mathrm{W}_2}{\mathrm{M}_2} \times \frac{1000}{\mathrm{~W}_1}$

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

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