Which among the following colligative properties is useful to determine molar masses of very expensive solutes?

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 .......... $atm$.

An aqueous solution of volume $300 \, cm^3$ contains $0.63 \, g$ of protein. The osmotic pressure of the solution at $300 \, K$ is $1.29 \, mbar$. The molar mass of the protein is $......... \, g \, mol^{-1}$. Given : $R = 0.083 \, L \, bar \, K^{-1} \, mol^{-1}$

Calculate the molar mass of a solute at $300 \ K$ if $400 \ mg$ of it is dissolved in $300 \ mL$ of water to exert an osmotic pressure of $0.2 \ atm$. $(R = 0.0821 \ L \ atm \ K^{-1} \ mol^{-1})$

Calculate the osmotic pressure exerted by a solution containing $0.822 \ g$ of solute in $300 \ mL$ of water at $300 \ K$. (Molar mass of solute $= 340 \ g \ mol^{-1}, R = 0.0821 \ L \ atm \ mol^{-1} \ K^{-1}$) (in $atm$)

$A$ solution of a substance containing $1.05 \ g$ per $100 \ mL$ was found to be isotonic with $3 \% (w/v)$ glucose solution. The molecular mass of the substance is :