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JEE Main 202311 AprilEvening Shift
Exam
JEE Main
Year
2023
Date
11 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2023 · 11 April · Evening Shift · Chemistry · Solutions

What weight of glucose must be dissolved in 100g of water to lower...

What weight of glucose must be dissolved in 100g100g of water to lower the vapour pressure by 0.20mmHg0 . 20mmHg?
(Assume dilute solution is being formed)
Given: Vapour pressure of pure water is 54.2mmHg54 . 2mmHg at room temperature.Molar mass of glucose is 180gmol−1180g{mol}^{- 1}

Options

  1. A3.59g3 . 59g
  2. B3.69g3 . 69g
  3. C4.69g4 . 69g
  4. D2.59g2 . 59g

Correct answer

B. 3.69g3 . 69g

Step-by-step solution

Sol. Using the formula
Po−PsPo=MolesofsoluteMolesofsolvent(for dilute solution)\dfrac{{P}^{o} - {P}_{s}}{{P}^{o}} = \dfrac{Molesofsolute}{Molesofsolvent}\left(\text{for dilute solution}\right)

Po={P}^{o} =Vapour pressure of pure water

Ps={P}_{s} =Vapour pressure of solution
54.2−5454.2=w/18010018w=0.2×100054.2=20054.2=3.69\dfrac{54 . 2 - 54}{54 . 2} = \dfrac{w / 180}{\dfrac{100}{18}}w = \dfrac{0 . 2 \times 1000}{54 . 2} = \dfrac{200}{54 . 2} = 3 . 69

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