Which of the following colligative properties is useful to determine the molar masses of proteins, polymers, or colloids with the greatest precision?

$A$ $5\% \, w/v$ solution of cane sugar is isotonic with a $1\% \, w/v$ solution of substance $X$. The molecular weight of $X$ is:

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-$II$ $(atm)$ |
| :--- | :--- | :--- |
| $I$ | $2.0$ | $1.0$ |
| $II$ | $1.0$ | $2.0$ |
| $III$ | $3.0$ | $1.0$ |
| $IV$ | $1.0$ | $1.0$ |

The osmotic pressure at $17 \ ^oC$ of an aqueous solution containing $1.75 \ g$ of sucrose per $150 \ mL$ solution is .......... $atm$.

The osmotic pressure of a $5\%$ solution of cane sugar at $150\,^{\circ}C$ is ......... $atm$. (mol. wt. of cane sugar $= 342$)

The osmotic pressure of a solution at $327^o C$ and concentration $C$ is $P$. The osmotic pressure of the same solution at $427^o C$ and concentration $C/2$ is $2$ bar. Then $P = ......$ bar.