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Question

If 0.15 g of a solute, dissolved in 15 g of solvent, increases the boiling point by 0.216oC over that of the pure solvent, the molecular mass of the substance is (Molal elevation constant for the solvent is 2.16^OC$):

A
1.01
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B
10
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C
10.1
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D
100
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Solution

The correct option is D 100

Elevation in boiling point, ∆T = Kb X mb

Here, Kb = 2.16 , ∆T = .216

mb= ∆T/Kb => .216/2.16 = 0.1

Now, molality, mb = Moles of solute/Mass of solvent(in kg)

0.1= Moles of solute/ 0.015 => Moles of solute= 0.0015\

Finally, Moles= Mass (in gm)/ Mol. Wt

0.0015= 0.15/Mol wt

Mol wt= 100

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