Question

What volume of solution will give rise to an osmotic pressure of $0.5atmat{27}^{\circ }C$ if the solution contains 3 moles of solute at the same temperature?

• A. $220.65L$
• B. $22.15L$
• C. $82.24L$
• D. $147.78L$

Answer 1

The correct option is D $147.78L$

Osmotic pressure:

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

Here ,

$\pi =0.5atmR=0.0821Latmmo{l}^{-1}{K}^{-1}n=3molT={27}^{\circ }C=300K$

$V=\frac{n\times R\times T}{\pi }V=\frac{3\times 0.0821\times 300}{0.5}V=147.78L$