Question

What is the volume of solution containing 1 gm mole of sugar that will give rise to an osmotic pressure of 1 atm at $0^{0}C$?

• A. $11.2$ litre
• B. $112$ litre
• C. $224$ litre
• D. $22.4$ litre

Answer 1

The correct option is D $22.4$ litre

$T=273K$
$\pi =1atm$

$M=\frac{n}{V}$
$n=1$
$\pi =MRT$
$1atm=1\times 1\frac{1}{V\left(lit\right)}\times 0.0821\times 273$
$V=0.082\times 273$

$V=22.41L$