Solutions and Colligative Properties - Result Question 28

27. The vapour pressure of pure benzene is $639.70$ $ mm$ of $Hg$ and the vapour pressure of solution of a solute in benzene at the same temperature is $631.9 $ $mm$ of $Hg$. Calculate the molality of the solution.

(1981, 3M)

Show Answer

Answer:

Correct Answer: 27. $(0.158)$

Solution:

According to Raoult’s law :

$ p=p _0 \chi _1 \Rightarrow 631.9=639.7 \quad \chi _1 $

$\Rightarrow \chi _1 =0.9878 \Rightarrow \chi _2=0.0122 $

$\Rightarrow \text { Molality } =\frac{0.0122}{0.9878 \times 78} \times 1000=0.158 $