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MHT CET · Chemistry · Solutions

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. A 0.5 gram
  2. B 1.5 gram
  3. C 0.687 gram
  4. D 2.0 gram
Verified Solution

Answer & Solution

Correct Answer

(C) 0.687 gram

Step-by-step Solution

Detailed explanation

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