Q. The mass of glucose that should be dissolved in 50 g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1 g of urea in the same quantity of water is

A) 1 g
B) 3 g
C) 6 g
D) 18 g
Explanation

(b)
$\frac{p - p_{s}}{p}$=$\frac{w_{1}M_{2}}{w_{2}M_{1}}$
To produce same lowering of vapour pressure, $\frac{p - p_{s}}{p}$ will be same for both cases.
So, $\frac{W_{(Glucose)} \times 18}{50 \times 180}$=$\frac{W_{(urea)} \times 18}{50 \times 60}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ W_{(Glucose)}$=weight of glucose
$W_{(urea)}$ =weight of urea
or $\ \ \ \frac{W_{(Glucose)} \times 18}{50 \times 180} = \frac{1 \times 18}{50 \times 60}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ {\ \ \ W}_{(urea)}$=3

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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