The osmotic pressure of $2.22\ \%\ (w/v)$ $CaCl_2$ solution at $27\ ^oC$ is $(R = 0.08\ L\ atm\ K^{-1}\ mol^{-1})$

If $3 \ g$ of glucose (mol. wt. $180$) is dissolved in $60 \ g$ of water at $15 \ ^oC$. Then the osmotic pressure of this solution will be .......... $atm$.

Find the amount of solute in a solution obtained by dissolving it in $2.5 \ dm^3$ of water that generates an osmotic pressure of $0.245 \ atm$ at $300 \ K$. (Molar mass of solute $= 58 \ g \ mol^{-1}$,$R = 0.0821 \ dm^3 \ atm \ K^{-1} \ mol^{-1}$) (in $g$)

$A$ solution of polystyrene in benzene contains $10 \, g/L$. The equilibrium height of the column of solution having density $0.9 \, g/mL$ in the osmometer is $11 \, cm$ at $27 \, ^\circ C$. What is the average molar mass of polystyrene? (Assume the solution is ideal)

At $298 \, K$,the ratio of osmotic pressures of two solutions of a substance with concentrations of $0.01 \, M$ and $0.001 \, M$ respectively,is

Find the osmotic pressure of a $0.01 \text{ M}$ solution at $25 \text{ }^\circ\text{C}$ $(R = 0.0821 \text{ L atm mol}^{-1} \text{K}^{-1})$. (in $\text{ atm}$)