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JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties

A solution containing \(2\,g\) of a non-volatile solute in \(20\,g\) of water boils at \(373.52\,K\). The molecular mass of the solute is \(.......g\,mol ^{-1}\). (Nearest integer) Given, water boils at \(373\,K,K _{ b }\) for water \(=0.52\,K\,kg\,mol ^{-1}\)

  1. A \(10\)
  2. B \(100\)
  3. C \(80\)
  4. D \(90\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(100\)

Step-by-step Solution

Detailed explanation

\(\Delta T _{ b }=373.52-373\) \(=0.52\) \(\Delta T _{ b }= Kb \cdot m\) \(0.52=0.52 \times \frac{2}{\text { Molar Mass }} \times \frac{1}{20 \times 10^{-3}}\) \(\text { Molar Mass }=100\,g / mol\)
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