1. Tardigrade
  2. Question
  3. Chemistry
  4. 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

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Q. 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 $=0.52 \,K\, kg \,mol ^{-1}$

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Solution:

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