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Q.

 The relationship between osmotic pressure at 273 K when 10 g glucose (P1), 10 g urea (P2), and 10 g sucrose (P3) is dissolved in 250 ml of water is 

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a

P1 > P2 > P3

b

P3 > P1 > P2

c

P2 > P1 > P3

d

P2 > P3 > P1

answer is C.

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Detailed Solution

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We know that the osmotic pressure is given by Π=iMRT

where 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 temperature

Π∝M

We also know that Molarity is inversely proportional to molecular weight.

Molecular weight of glucose=180, urea=60, sucrose=342.

And 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

Therefore, option C is the correct answer

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