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JEE Main 20199 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
9 January
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2019 · 9 January · Evening Shift · Chemistry · Solutions

A solution containing 62g ethylene glycol in 250g water is cooled...

A solution containing 62g62g ethylene glycol in 250g250g water is cooled to −10oC- {10}^{o}C . If Kf{K}_{f} for water is 1.86Kkgmol−11.86Kkg{mol}^{- 1} , the amount of water (in gg ) separated as ice is:

Options

  1. A4848
  2. B6464
  3. C1616
  4. D3232

Correct answer

B. 6464

Step-by-step solution

Molecular weight of ethylene glycol

(C2H6O2)=62\left({C}_{2}{H}_{6}{O}_{2}\right) = 62

Moles of ethylene glycol =WtM.Wt= \dfrac{Wt}{M . Wt}

=6262=1= \dfrac{62}{62} = 1

∆Tf=i×kf×m∆ {T}_{f} = i \times {k}_{f} \times m

∴∆Tf=0−(−10)=10∴ ∆ {T}_{f} = 0 - \left(- 10\right) = 10

i=1i = 1 for ethylene glycol

∆Tf=1×86×12501000∆ {T}_{f} = 1 \times 86 \times \dfrac{1}{\dfrac{250}{1000}}

∆Tf=1.86×4=7.44∆ {T}_{f} = 1.86 \times 4 = 7.44

As ∆Tf=10∆ {T}_{f} = 10 it implies that some amount of water has frozen and this has led to a greater depression of freezing point.

10=1.86×6262WtofH2O100010 = 1.86 \times \dfrac{\dfrac{62}{62}}{\dfrac{Wtof{H}_{2}O}{1000}}

WH2O=186gm{W}_{{H}_{2}O} = 186gm

Hence, the weight of water that has frozen =(250−186)gm\text{=}( 250 - 186 )gm

=64gm= 64gm
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