Calculate the amount of solute dissolved in $3 \ dm^3$ water having osmotic pressure $0.3 \ atm$ at $300 \ K$. (Molar mass of solute $= 108 \ g \ mol^{-1}, R = 0.0821 \ atm \ dm^3 \ K^{-1} \ mol^{-1}$) (in $g$)

The plot of osmotic pressure $(\Pi)$ vs concentration $\left(mol \ L^{-1}\right)$ for a solution gives a straight line with slope $25.73 \ L \ bar \ mol^{-1}$. The temperature at which the osmotic pressure measurement is done is
(Use $R=0.083 \ L \ bar \ mol^{-1} \ K^{-1}$) (in $^{\circ} C$)

The solution containing $4.0 \ g$ of a polyvinyl chloride polymer in $1 \ L$ of dioxane was found to have an osmotic pressure of $6.0 \times 10^{-4} \ atm$ at $300 \ K$. Given $R = 0.082 \ L \ atm \ mol^{-1} \ K^{-1}$,the molecular mass of the polymer is:

Determine the amount of $CaCl_2$ $(i=2.47)$ dissolved in $2.5 \ L$ of water such that its osmotic pressure is $0.75 \ atm$ at $27^{\circ}C$.

Assume a living cell with $0.9 \% (\omega / \omega)$ of glucose solution (aqueous). This cell is immersed in another solution having equal mole fraction of glucose and water. (Consider the data up to the first decimal place only). The cell will :

Osmotic pressure of a urea solution at $10\,^{\circ}C$ is $500\,mm$. The osmotic pressure of the solution becomes $105.3\,mm$ when it is diluted and the temperature is raised to $25\,^{\circ}C$. The extent of dilution is .......... times.