When $10 \ g$ of glucose (osmotic pressure $P_1$),$10 \ g$ of urea (osmotic pressure $P_2$),and $10 \ g$ of sucrose (osmotic pressure $P_3$) are dissolved in $250 \ mL$ of water,the correct relationship between the osmotic pressures of these solutions is:

$A$ solution containing $4 \ g$ of a non-volatile organic solute per $100 \ mL$ has an osmotic pressure of $500 \ cm$ of mercury at $27^\circ C$. What is the molar mass of the solute?

Which of the following colligative properties is most suitable for determining the molar mass of polymers?

The osmotic pressure of a solution is given by the relation

The osmotic pressure of solutions of $PVC$ in cyclohexanone at $300 \ K$ are plotted on the graph. The molar mass of $PVC$ is $........ \ g \ mol^{-1}$ (Nearest integer) (Given : $R = 0.083 \ L \ atm \ K^{-1} \ mol^{-1}$ )

The osmotic pressure of sea water is $1.05 \ atm$. Four experiments were carried out as shown in the table below. In which of the following experiments can pure water be obtained in part-$II$ of the vessel?
| Experiment | Pressure applied on part-$I$ $(atm)$ | Pressure applied on part-$II$ $(atm)$ |
| :--- | :--- | :--- |
| $I$ | $2.0$ | $1.0$ |
| $II$ | $1.0$ | $2.0$ |
| $III$ | $3.0$ | $1.0$ |
| $IV$ | $1.0$ | $1.0$ |