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JEE Main 201910 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2019 · 10 April · Morning Shift · Chemistry · Solutions

At room temperature, a dilute solution of urea is prepared by...

At room temperature, a dilute solution of urea is prepared by dissolving 0.60g0.60g of urea in 360g360g of water. If the vapour pressure of pure water at this temperature is 35mmHg35mmHg , lowering of vapour pressure will be:
(molar mass of urea =60gmol−1= 60gmo{l}^{- 1} )

Options

  1. A0.028mmHg0.028mmHg
  2. B0.027mmHg0.027mmHg
  3. C0.031mmHg0.031mmHg
  4. D0.017mmHg0.017mmHg

Correct answer

D. 0.017mmHg0.017mmHg

Step-by-step solution

Relative lowering in vapour Pressure
⇒⇒ Mole of urea \left({n}_{B}\right) = \dfrac{0.6}{60} = {10}^{- 2}mole;</p><p>Moleofwater(nA)=36018=20;</p><p>Mole of water \left({n}_{A}\right) = \dfrac{360}{18} = 20

Po−PsPo=xB=Po−PsPo=nBnn+nB\dfrac{{P}^{o} - {P}_{s}}{{P}^{o}} = {x}_{B} = \dfrac{{P}^{o} - {P}_{s}}{{P}_{o}} = \dfrac{{n}_{B}}{{n}_{n} + {n}_{B}}

Here =Po=V.P.= {P}^{o} = V . P . of pure solvent

Ps=V.P{P}_{s} = V . P of solution.

nA+nB≃nA{n}_{A} + {n}_{B} ≃ {n}_{A}

Po−PsPo=nBnA\dfrac{{P}^{o} - {P}_{s}}{{P}^{o}} = \dfrac{{n}_{B}}{{n}_{A}}
loweringofvapourpressure(Po−Ps)=nBnA×Poloweringofvapourpressure ( {P}^{o} - {P}_{s} ) = \dfrac{{n}_{B}}{{n}_{A}} \times {P}^{o}

Po−Ps=10−220×35{P}^{o} - {P}_{s} = \dfrac{{10}^{- 2}}{20} \times 35

Po−Ps=0.0175mmofHg{P}^{o} - {P}_{s} = 0.0175mm of Hg

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