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Question

# The relationship between osmotic pressures at 273 K, when 10g glucose (P1), 10g urea (P2) and 10g sucrose (P3) are dissolved in 250 mL of water is:

A
P1>P2>P3
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B
P3>P2>P1
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C
P2>P1>P3
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D
None of these
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Solution

## The correct option is C P2>P1>P3We know that the osmostic pressure is given by Π=iMRTwhere i is the Van't Hoff factor M is the molarity R=0.08206 L-atm mol−1 K−1 is the gas constant T is the absolute temperatureΠ∝MMolarity is inversely proportional to molecular weight.Molecular weight of glucose=180, urea=60, sucrose=342.Osmotic pressure is also inversely proportional to molecular weight.P1=Osmotic pressure of glucose (10 g)P2=Osmotic pressure of urea (10 g)P3=Osmotic pressure of sucrose (10 g)So, P2>P1>P3

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