$A$ solution of urea contains $8.6 \ g/L$ (mol. wt. $60.0$). It is isotonic with a $5\%$ solution of a non-volatile solute. The molecular weight of the solute will be:

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 of a decinormal solution of $BaCl_2$ in water is

What is a "semi-permeable membrane"?

Identify the pair of solutions that exhibits the same osmotic pressure. [Molar mass of urea $= 60 \text{ g mol}^{-1}$ and molar mass of glucose $= 180 \text{ g mol}^{-1}$]

Equal masses of glucose,sucrose,and urea are dissolved in $V \ L$ of water to prepare separate solutions. The order of osmotic pressures $\pi_1, \pi_2$,and $\pi_3$ for glucose,sucrose,and urea respectively will be...........