Chemistry - Liquid Solution Question with Solution | TestHub

Given concentration of sucrose $=10\%$ (w/v)

This means $10\text{ g}$ of sucrose is present in $100\text{ mL}$ of solution.

Mass of sucrose, $W=10\text{ g}$

Volume of solution, $V=100\text{ mL}=0.1\text{ L}$

Molar mass of sucrose, $M=342\text{ g/mol}$

Temperature, $T=27^{\circ }\text{C}=300\text{ K}$

Gas constant, $R=0.0821{\text{ L atm K}}^{-1}{\text{ mol}}^{-1}$

Osmotic pressure, $\pi =CRT=\frac{n}{V}RT$

$\pi =\frac{W}{M\times V}RT$

$\pi =\frac{10}{342\times 0.1}\times 0.0821\times 300$

$\pi =\frac{100}{342}\times 24.63$

$\pi =7.20\text{ atm}$

Answer: $7.20$ atm