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Q. The Osmotic pressure of the aq. solution of the given solute at $27^{\circ}C$ if depression in freezing point is $0.90^{\circ}$ is ______.(Molal depression constant of water is $1.86 \,K \,mol^{-1} kg$? Assume molality as molarity.)

Solutions

Solution:

$\Delta T _{ f }= k _{ f } \times$ molarity,

$\pi=$ molarity $\times RT$

$\therefore \frac{\Delta T _{ f }}{\pi}=\frac{ k _{ f }}{ RT }$

$\frac{0.9}{\pi}=\frac{1.86}{0.0821 \times 300}$

$\pi=11.918\, atm$