The empirical formula of a non-electrolyte is $CH_2O$. $A$ solution containing $3 \ g$ of the compound exerts the same osmotic pressure as that of $0.05 \ M$ glucose solution. The molecular formula of the compound is

$A$ 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)

Calculate the osmotic pressure of a $0.2 \ M$ aqueous $KCl$ solution at $0^{\circ} C$ if the van't Hoff factor for $KCl$ is $1.83$. $[R = 0.082 \ dm^3 \ atm \ mol^{-1} \ K^{-1}]$ (in $atm$)

Which of the following is the correct order of osmotic pressure for solutions containing equal moles of glucose,$NaCl$,and $BaCl_2$?

Correct order of osmotic pressure of the following solutions is
$(i)$ $30 \ g \ L^{-1}$ of glucose
$(ii)$ $60 \ g \ L^{-1}$ of $NH_2CONH_2$
$(iii)$ $80 \ g \ L^{-1}$ of glucose
$(iv)$ $58.5 \ g \ L^{-1}$ of $NaCl$

$A$ $40 \text{ g}$ 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 $\text{ dm}^3$)