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JEE Main 202225 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
25 June
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2022 · 25 June · Evening Shift · Chemistry · Solutions

Solute A associates in water. When 0 . 7g of solute A is dissolved...

Solute A associates in water. When 0.7g0 . 7g of solute AA is dissolved in 42.0g42 . 0g of water, it depresses the freezing point by 0.2°C0 . 2 ° C. The percentage association of solute AA in water, is

[Given: Molar mass of A=93gmol−1A = 93g{mol}^{- 1}. Molal depression constant of water is 1.86Kkgmol−11 . 86Kkg{mol}^{- 1}]

Options

  1. A5050 %
  2. B6060 %
  3. C7070 %
  4. D8080 %

Correct answer

D. 8080 %

Step-by-step solution

Depression in freezing point,ΔTf=iKf×m{\Delta T}_{f} = {iK}_{f} \times m

2.0=ix1.86×7×100093×422 . 0 = ix1 . 86 \times \dfrac{7 \times 1000}{93 \times 42}

2.0=i[3.33]2 . 0 = i\left[3 . 33\right]

i=0.6i = 0 . 6

i=1+[1n−1]βi = 1 + \left[\dfrac{1}{n} - 1\right]\beta

0.6=1+[12−1]β0 . 6 = 1 + \left[\dfrac{1}{2} - 1\right]\beta

β=0.8\beta = 0 . 8

% \beta = 80

Hence, the percentage association of solute A in water is 80.

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