$A$ $5.25\%$ solution of a substance is isotonic with a $1.5\%$ solution of urea (molar mass $= 60\ g\ mol^{-1}$) in the same solvent. If the densities of both the solutions are assumed to be equal to $1.0\ g\ cm^{-3},$ the molar mass of the substance will be .............. $g\ mol^{-1}$.

$0.2 \ M$ aqueous solution of glucose has osmotic pressure $4.9 \ atm$ at $300 \ K$. What is the concentration of glucose if it has osmotic pressure $1.5 \ atm$ at same temperature (in $M$)?

If a solution has an osmotic pressure of $0.82 \ bar$ at $27 \ ^oC$,find the concentration of such a solution. (in $M$)

The osmotic pressure of blood is $7.47 \, bar$ at $300 \, K$. To inject glucose to a patient intravenously,it has to be isotonic with blood. The concentration of glucose solution in $g \, L^{-1}$ is $......$ (Molar mass of glucose $= 180 \, g \, mol^{-1}$,$R = 0.083 \, L \, bar \, K^{-1} \, mol^{-1}$) (Nearest integer)

$A$ solution containing $4 \ g$ of polymer in $4.0 \ L$ solution at $27^{\circ} C$ shows an osmotic pressure of $3.0 \times 10^{-4} \ atm$. The molar mass of the polymer in $g \ mol^{-1}$ is

When $10 \ g$ of glucose (osmotic pressure $P_1$),$10 \ g$ of urea (osmotic pressure $P_2$),and $10 \ g$ of sucrose (osmotic pressure $P_3$) are dissolved in $250 \ mL$ of water,the correct relationship between the osmotic pressures of these solutions is: