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# the relationship between osmotic pressurev at 273 K when 10 g  glucose (P1),10g urea(P2) and  10 sucrose(P3) are dissolved in 250 ml of water:(A)P1>P2>P3 (B)P3>P2>P1(C) P2>P1>P3(D)P2>P3>P1;EXPLAIN IT

105 Points
10 years ago

Dear bharat,

The osmatic pressure is given by

Π = iMRT,

where

i is the dimensionless van 't Hoff factor
M is the molarity
R=0.08206 L · atm · mol-1 · K-1 is the gas constant
T is the thermodynamic (absolute) temperature

the osmatic pressure is directly proportional to the Molarity,since other values are constant for the three compounds.
The molarity is inversly proportional to Molecular weight.
Molecular weight of
Urea = 60
Glucose = 180
sucrose = 342

(C) P2>P1>P3

All the best.

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509 Points
10 years ago

P=CRT

osmotic pressure is inversly proportional to molar mass if all other parameteres are constant so higher will be the molar mass lower will be the osmotic pressure

hence option c is correct

Rishi Sharma
10 months ago
Dear Student,

The osmatic pressure is given by
Π = iMRT,
where
i is the dimensionless van 't Hoff factor
M is the molarity
R=0.08206 L · atm · mol-1 · K-1 is the gas constant
T is the thermodynamic (absolute) temperature
The osmatic pressure is directly proportional to the Molarity,since other values are constant for the three compounds.
The molarity is inversly proportional to Molecular weight.
Molecular weight of
Urea = 60
Glucose = 180
sucrose = 342