The relationship between osmotic pressure at 273k when 10g glucose (p1),10g(p2) urea and 10g sucrose (p3) are dissolved in 250 ml of water is
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We know that the osmostic 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
Molarity is inversely proportional to molecular weight.
Molecular weight of glucose=180, urea=60, sucrose=342.
Osmotic pressure is also inversely proportional to molecular weight.
P
1
=Osmotic pressure of glucose (10 g)
P
2
=Osmotic pressure of urea (10 g)
P
3
=Osmotic pressure of sucrose (10 g)
So, P
2
>P
1
>P
3
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