Q51 / 200 · Manipal (MET) 2011 · Chemistry

The osmotic pressure of a $5 \%$ (wt./vol.) solution of cane sugar at $150^{\circ} \mathrm{C}$ is

A
3.078 atm
B
4.078 atm
Correct answer
C
5.078 atm
D
2.45 atm

Solution

$\begin{aligned} C=\frac{5}{342} & \times \frac{1}{100} \times 1000=\frac{50}{342} \mathrm{~mol} \mathrm{~L}^{-1} \\ \pi & =\frac{50}{342} \times 0.082 \times 423 \\ & =5.07 \mathrm{~atm}\end{aligned}$

Hence, the correct answer is option: 'C'.

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