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Question

The osmotic pressure of a solution of an organic substance containing 18 g in one litre of solution at 300 K is 2.7×105 Pa .Find the molecular mass of the substance.
Take R=8.3 J mol1 K1

A
65 g mol1
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B
189 g mol1
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C
166 g mol1
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D
212 g mol1
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Solution

The correct option is C 166 g mol1
Osmotic pressure:

π=nV×RT

Here n is number of moles

n=Given massMolar mass=wBmB

V=1 L=103 m3R=8.3 J mol1K1T=300 Kπ=2.7×105 PawB=18 g

πV=wBmB×RTmB=wB×R×Tπ×V

mB=18×8.3×3002.7×105×103mB=166 g mol1

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