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JEE Main 202126 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2021 · 26 February · Evening Shift · Chemistry · Solutions

When 12 . 2g of benzoic acid is dissolved in 100g of water, the...

When 12.2g12 . 2g of benzoic acid is dissolved in 100g100g of water, the freezing point of solution was found to be −0.93°C(Kf(H2O)=1.86Kkgmol−1)- 0 . 93 ° C\left({K}_{f}\left({H}_{2}O\right) = 1 . 86Kkg{mol}^{- 1}\right). The number \left(n\right)ofbenzoicacidmoleculesassociated(assumingof benzoic acid molecules associated (assuming100 %$ association) is _.

Correct answer

2

Step-by-step solution

ΔTf=i×kf×m{\Delta T}_{f} = i \times {k}_{f} \times m

0−(−0.93)=i×1.86×12.2122×100×10000 - \left(- 0 . 93\right) = i \times 1 . 86 \times \dfrac{12 . 2}{122 \times 100} \times 1000

i=0.931.86=0.5i = \dfrac{0 . 93}{1 . 86} = 0 . 5

i=1+(1n−1)αi = 1 + \left(\dfrac{1}{n} - 1\right)\alpha

12=1+(1n−1)×1\dfrac{1}{2} = 1 + \left(\dfrac{1}{n} - 1\right) \times 1

n=2n = 2

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