(C) The formula for osmotic pressure is $P = \frac{w}{MV} RT$. Since $w$ (mass),$V$ (volume),and $T$ (temperature) are constant for all three solution

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(C) The formula for osmotic pressure is $P = \frac{w}{MV} RT$. Since $w$ (mass),$V$ (volume),and $T$ (temperature) are constant for all three solutions,the osmotic pressure is inversely proportional to the molar mass $(M)$ of the solute,i.e.,$P \propto \frac{1}{M}$. The molar masses are: Urea $(NH_2CONH_2) = 60 \ g/mol$ Glucose $(C_6H_{12}O_6) = 180 \ g/mol$ Sucrose $(C_{12}H_{22}O_{11}) = 342 \ g/mol$ Since $60 P_1 > P_3$.

Class 12 Chemistry Solutions Osmosis and Osmotic pressure of the solution

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The relationship between osmotic pressure at $273 \ K$ when $10 \ g$ glucose $(P_1)$,$10 \ g$ urea $(P_2)$,and $10 \ g$ sucrose $(P_3)$ are dissolved in $250 \ mL$ of water is:

AIPMT 1996 All AIPMT

A
$P_1 > P_2 > P_3$
B
$P_3 > P_1 > P_2$
C
$P_2 > P_1 > P_3$
D
$P_2 > P_3 > P_1$

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The relationship between osmotic pressure at $273 \ K$ when $10 \ g$ glucose $(P_1)$,$10 \ g$ urea $(P_2)$,and $10 \ g$ sucrose $(P_3)$ are dissolved in $250 \ mL$ of water is:

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