Q. When 25 g of a non-volatile solute is dissolved in 100 g of water, the vapour pressure is lowered by $2.25 \times 10^{- 1}mm.$ If the vapour pressure of water at $20℃\$is 17.5 mm, what is the molecular weight of the solute?

A) 206
B) 302
C) 350
D) 276
Explanation

(c)
Given,
Weight of non-volatile solute,
w= 25 g
Weight of solvent, W=100 g
Lowering of vapour pressure,
$p^{{^\circ}} - p_{s} = 0.225\ mm\$
Vapour pressure of pure solvent,
$p^{{^\circ}} = 17.5\ mm\$
Molecular weight of solvent ($H_{2}O$), M =18 g
Molecular weight of solute, m=?
According to Raoult’s law
$\frac{p^{{^\circ}} - p_{s}}{p^{{^\circ}}} = \frac{w \times M}{m \times W}\ \ \ \$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{0.225}{17.5\ } = \frac{25 \times 18}{m \times 100}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ m = \frac{25 \times 18 \times 17.5}{22.5\ }\$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 350\ g$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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