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MHT CET · Chemistry · Solutions

Calculate the molar mass of nonvolatile solute when 1.5 g of it is dissolved in 90 g solvent decreases its freezing point by 0.25 K .
\(\left[\mathrm{K}_{\mathrm{f}}=1.2 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right]\)

  1. A \(72 \mathrm{~g} \mathrm{~mol}^{-1}\)
  2. B \(80 \mathrm{~g} \mathrm{~mol}^{-1}\)
  3. C \(88 \mathrm{~g} \mathrm{~mol}^{-1}\)
  4. D \(96 \mathrm{~g} \mathrm{~mol}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(80 \mathrm{~g} \mathrm{~mol}^{-1}\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \mathrm{M}_2=\frac{1000 \mathrm{~K}_{\mathrm{f}} \mathrm{W}_2}{\Delta \mathrm{~T}_{\mathrm{b}} \mathrm{W}_{\mathrm{i}}} \\ & =\frac{1000 \times 1.2 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1} \times 1.5 \mathrm{~g}}{0.25 \mathrm{~K} \times 90 \mathrm{~g}}=80 \mathrm{~g} \mathrm{~mol}^{-1}\end{aligned}\)