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 . (Nearest Integer) Given, water boils at 373 K, for water = 0.52 K kg . [2023]

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Solution

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 ${mol}^{- 1}$ . [2023]

Ans.
(100)

$Δ T_{b} = k_{b} m$

$(373.52 - 373) = 0.52 \times (\frac{2 \times 1000}{M \times 20})$

$M = \frac{2 \times 1000}{20} = 100 g/mol$

$Molecular mass of solute = 100 g/mol .$

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