Question

Find the osmotic pressure of decimolar solution of urea at ${27}^{\circ }$C.

Answer 1

Use the formula 17 = cRT
Decimolar solution means concentration of solution is $\frac{1}{10}$ M or 0.1 M solution.
V = 1 L
c = 0.1 mol
$T={27}^{\circ }$C = 273 K . 27 = 300 K
R = 0.0821 L atm $K^{-1}mo{l}^{-1}$
$\pi =\frac{cRT}{V}=0.1mol\times 0.0821Latm{K}^{-1}mo{l}^{-1}\times \frac{300K}{1L}$
$=2.463atm$
Now, 1 atm = 1.01325 bar
So, 2.463 atm = 2.463 $\times$ 1.01325 bar = 2.49 bar