Question

Find out the volume of solution containing $2\text{mol}$ of sugar at an osmotic pressure of $1atm\text{and temperature}at{27}^{\circ }C$?
(Given, $R=0.0821{\text{L atm mol}}^{-1}{K}^{-1}$)

• A. $24.63{\text{cm}}^3$
• B. $24630{\text{cm}}^3$
• C. $49.26{\text{cm}}^3$
• D. $49260{\text{cm}}^3$

Answer 1

The correct option is D $49260{\text{cm}}^3$

Osmotic pressure:
$\pi =\frac{n}{V}\times RT$
Here,
$\pi =1atmR=0.0821{\text{L atm mol}}^{-1}{K}^{-1}n=2molT={27}^{\circ }C=300K$
$V=\frac{n\times R\times T}{\pi }V=\frac{2\times 0.0821\times 300}{1}V=49.26LV=49260{\text{cm}}^3$