Calculate the osmotic pressure of $0.03 \ mol$ of non-electrolyte solute dissolved in $0.1 \ dm^3$ of water at $300 \ K \ [R=0.0821 \ dm^3 \ atm \ mol^{-1} \ K^{-1}]$ (in $atm$)

Calculate the molar mass of solute in a solution prepared by dissolving $1 \ g$ in $0.3 \ dm^3$ solvent having osmotic pressure $0.2 \ atm$ at $300 \ K$. $\left[R=0.082 \ dm^3 \ atm \ K^{-1} \ mol^{-1}\right]$

$2.5 \, g$ of protein containing only glycine $(C_2H_5NO_2)$ is dissolved in water to make $500 \, mL$ of solution. The osmotic pressure of this solution at $300 \, K$ is found to be $5.03 \times 10^{-3} \, bar$. The total number of glycine units present in the protein is $....$
(Given : $R = 0.083 \, L \, bar \, K^{-1} \, mol^{-1}$)

Under identical conditions,which solution has the highest osmotic pressure?

Which solution is isotonic with $6 \% \ w/v$ aqueous solution of urea (in $M \ NaCl$)? [Molar mass of Urea $= 60 \ g \ mol^{-1}$]

When $10 \ g$ of glucose $(P_1)$,$10 \ g$ of urea $(P_2)$,and $10 \ g$ of sucrose $(P_3)$ are dissolved in $250 \ mL$ of water,what is the relationship between their osmotic pressures at $273 \ K$?