Question

A solution contains 2 moles of sugar. What volume of solution give rise to an osmotic pressure of $1atmat{27}^{\circ }C?$

• A. $24630c{m}^3$
• B. $49260c{m}^3$
• C. $24.63c{m}^3$
• D. $49.26c{m}^3$

Answer 1

The correct option is B $49260c{m}^3$

Osmotic pressure:

$\pi =\frac{n}{V}\times RT$

Here ,

$\pi =1atmR=0.0821Latmmo{l}^{-1}{K}^{-1}n=2molT={27}^{\circ }C=300K$

$V=\frac{n\times R\times T}{\pi }V=\frac{2\times 0.0821\times 300}{1}V=49.26LV=49260c{m}^3$