Chemistry - Liquid Solution Question with Solution | TestHub

The osmotic pressure $\Pi$ is given by $\Pi =CRT$, where $C$ is molar concentration, $R$ is the gas constant, and $T$ is temperature in Kelvin.

Initial state: ${\Pi }_1=500$ mm, $T_1=10℃=283$ K.

Final state: ${\Pi }_2=105.3$ mm, $T_2=25℃=298$ K.

We have $C_1=\frac{{\Pi }_1}{R{T}_1}$ and $C_2=\frac{{\Pi }_2}{R{T}_2}$.

The extent of dilution is $\frac{V_{final}}{V_{initial}}=\frac{C_1}{C_2}$.

$$\frac{V_{final}}{V_{initial}}=\frac{{\Pi }_1/R{T}_1}{{\Pi }_2/R{T}_2}=\frac{{\Pi }_1{T}_2}{{\Pi }_2{T}_1}$$

Substitute the values:

$$\frac{V_{final}}{V_{initial}}=\frac{500mm\times 298K}{105.3mm\times 283K}\approx 5$$