What is te mass of solute having molar mass $60 \mathrm{~g} \mathrm{~mol}^{-1}$ when dissolved in 98 gram…

What is te mass of solute having molar mass $60 \mathrm{~g} \mathrm{~mol}^{-1}$ when dissolved in 98 gram solvent decreases its freezing point by $0.2 \mathrm{~K}$ ? (The numerical value of cryoscopic constant of solvent is 1.71)
  1. 0.5 gram
  2. 1.5 gram
  3. 0.687 gram
  4. 2.0 gram

Solution

$\Delta \mathrm{Tf}=\mathrm{K}_{\mathrm{f}} \mathrm{m}$ $0.2=1.71 \times \frac{\mathrm{W}_{\mathrm{B}}}{60} \times \frac{1000}{98}$ $\mathrm{W}_{\mathrm{B}}=0.687 \mathrm{~g}$

Asked in: MHT CET 2022 (05 Aug Shift 2)

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