If a $5.25\% \, w/v$ solution of a substance is isotonic with a $1.5\% \, w/v$ solution of urea $(Molar \, mass = 60 \, g \, mol^{-1})$ in the same solvent,then the molar mass of the substance is ........ $g \, mol^{-1}$. (in $.0$)

When the temperature of a certain solution is increased from $37\, ^\circ C$ to $327\, ^\circ C$,how many times will the osmotic pressure change?

Provide examples of osmotic pressure in daily life.

An artificial cell is made by encapsulating $0.2 \ M$ glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a $0.05 \ M$ solution of $NaCl$ at $300 \ K$ is . . . . . . . . . .$\times 10^{-1} \ bar$. (Nearest Integer)
[Given : $R=0.083 \ L \ bar \ mol^{-1} \ K^{-1}$ ]
Assume complete dissociation of $NaCl$.

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 osmotic pressure of a dilute solution is directly proportional to the