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JEE Main 202225 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2022 · 25 July · Morning Shift · Chemistry · Solutions

The depression in freezing point observed for a formic acid...

The depression in freezing point observed for a formic acid solution of concentration 0.5mLL−10 . 5mL{L}^{- 1} is 0.0405°C0 . 0405 ° C. Density of formic acid is 1.05gmL−11 . 05g{mL}^{- 1}. The Van't Hoff factor of the formic acid solution is nearly: (Given for water kf=1.86Kkgmol−1{k}_{f} = 1 . 86Kkg{mol}^{- 1})

Options

  1. A0.80 . 8
  2. B1.11 . 1
  3. C1.91 . 9
  4. D2.42 . 4

Correct answer

C. 1.91 . 9

Step-by-step solution

[HCOOH]=0.5mlL−1\left[HCOOH\right] = 0 . 5ml{L}^{- 1}

⇒(0.5ml×1.05gml−1)HCOOH⇒ \left(0 . 5ml \times 1 . 05g{ml}^{- 1}\right)HCOOH in 1L

⇒0.525gHCOOHin1L⇒ 0 . 525gHCOOH in 1L

Weight of water will be =1kgsincedensityofwateris1kg/L= 1kgsincedensityofwateris1kg / L

m=(0.52546)1kgmolm = \dfrac{\left(\dfrac{0 . 525}{46}\right)}{1kg}mol [Assuming dilute solution]

∴ΔTf=iKfm⇒i=ΔTfkfm=0.0405×461.86×0.525=1.9∴ {\Delta T}_{f} = {iK}_{f}m ⇒ i = \dfrac{{\Delta T}_{f}}{{k}_{f}m} = \dfrac{0 . 0405 \times 46}{1 . 86 \times 0 . 525} = 1 . 9

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