$A$ $40 \text{ g}$ non-electrolyte solute having a molar mass of $180 \text{ g mol}^{-1}$ is dissolved in water to form a solution. If the osmotic pressure of the solution is $2 \text{ atm}$ at $300 \text{ K}$, calculate the volume of the solution in $\text{dm}^3$. $(R = 0.0821 \text{ L atm K}^{-1} \text{mol}^{-1})$ (in $\text{ dm}^3$)

Calculate the molar mass of a solute when $4 \ g$ of it is dissolved in $1 \ dm^3$ of solvent,having an osmotic pressure of $2 \ atm$ at $300 \ K$. $[R = 0.082 \ dm^3 \ atm \ K^{-1} \ mol^{-1}]$

When the pure solvent diffuses out of the solution through the semi-permeable membrane,then the process is called:

Calculate the osmotic pressure of a solution prepared by dissolving $1.75 \ g$ of glucose $(C_6H_{12}O_6)$ in $150 \ mL$ of solution at $17 \ ^oC$. (in $atm$)

Consider the following pairs of solutions which will be isotonic at the same temperature. The number of pairs of solutions that are isotonic is/are..........
$A.$ $1 \ M$ aq. $NaCl$ and $2 \ M$ aq. Urea
$B.$ $1 \ M$ aq. $CaCl_2$ and $1.5 \ M$ aq. $KCl$
$C.$ $1.5 \ M$ aq. $AlCl_3$ and $2 \ M$ aq. $Na_2SO_4$
$D.$ $2.5 \ M$ aq. $KCl$ and $1 \ M$ aq. $Al_2(SO_4)_3$

If osmotic pressure of a solution is $2 \ atm$ at $273 \ K$,then at $546 \ K$,the osmotic pressure is ........... $atm.$