Chemistry - Liquid Solution Question with Solution | TestHub

The osmotic pressure of a solution is given by the formula $\pi =iCRT$, where $i$ is the van't Hoff factor, $C$ is the concentration, $R$ is the gas constant, and $T$ is the temperature.

For urea (a non-electrolyte), the van't Hoff factor $i=1$.

${\pi }_{\text{urea}}=1\times CRT=0.27$

For ${\text{CaCl}}_2$ solution, the osmotic pressure is given as $0.65$ atm.

${\pi }_{{\text{CaCl}}_2}=i\times CRT=0.65$

Dividing the equation for ${\text{CaCl}}_2$ by the equation for urea:

$\frac{{\pi }_{{\text{CaCl}}_2}}{{\pi }_{\text{urea}}}=\frac{i\times CRT}{1\times CRT}$

$\frac{0.65}{0.27}=i$

$i=\frac{65}{27}\approx 2.41$

Answer: $2.41$