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JEE Main 202315 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
15 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2023 · 15 April · Morning Shift · Chemistry · Solutions

The vapour pressure of 30 % (w / v) , aqueous solution of glucose...

The vapour pressure of 3030 % \left(w / v\right), aqueous solution of glucose is ________ mmHgmmHg at 25∘C{25}^{∘}C.

[Given: The density of 3030 % \left(w / v\right), aqueous solution of glucose is 1.2gcm–31 . 2g{cm}^{– 3} and vapour pressure of pure water is 24mmHg24mmHg.]

(Molar mass of glucose is 180gmol–1180g{mol}^{– 1})

Correct answer

0

Step-by-step solution

To calculate the vapour pressure of the 3030 % (w/v) aqueous solution of glucose, we can use Raoult's law, which states that the vapour pressure of a component in an ideal solution is directly proportional to its mole fraction in the solution.

Weight of solution =100×1.2=120gm= 100 \times 1 . 2 = 120gm

Weight of water =120−30=90gm= 120 - 30 = 90gm

Now using formula

P0−PP=molesofglucosemolesofwater\dfrac{{P}_{0} - P}{P} = \dfrac{molesof glucose}{molesof water}

24−PP=301809018=390\dfrac{24 - P}{P} = \dfrac{\dfrac{30}{180}}{\dfrac{90}{18}} = \dfrac{3}{90}

24×90−P×90=3P24 \times 90 - P \times 90 = 3P

⇒P=23.22⇒ P = 23 . 22

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