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JEE Main 201816 AprilOnline
Exam
JEE Main
Year
2018
Date
16 April
Mode
Online
Subject
Chemistry
Chapter
Solutions

JEE Main 2018 · 16 April · Online · Chemistry · Solutions

The mass of a non-volatile, non-electrolyte solute (molar mass =...

The mass of a non-volatile, non-electrolyte solute (molar mass =50gmol−1= 50g{mol}^{- 1}) needed to be dissolved in 114 g octane to reduce its vapour pressure by 75 %, is:

Options

  1. A37.5g37.5g
  2. B75g75g
  3. C150g150g
  4. D50g50g

Correct answer

C. 150g150g

Step-by-step solution

Molar mass of octane = 114 g/mol.

From the lowering of vapour pressure, we have,

∆PP=W2M2W2M2+W1M1\dfrac{∆ P}{P} = \dfrac{\dfrac{{W}_{2}}{{M}_{2}}}{\dfrac{{W}_{2}}{{M}_{2}} + \dfrac{{W}_{1}}{{M}_{1}}}

Where W2andM2{W}_{2}and{M}_{2} are mass and molar mass of solute
and W1andM1{W}_{1}and{M}_{1} are mass and molar mass of octane.

75100=W250g/molW250g/mol+114g114g/mol\dfrac{75}{100} = \dfrac{\dfrac{{W}_{2}}{50g / mol}}{\dfrac{{W}_{2}}{50g / mol} + \dfrac{114g}{114g / mol}}

0.75=W250W250+10.75 = \dfrac{\dfrac{{W}_{2}}{50}}{\dfrac{{W}_{2}}{50} + 1}

W250+1=W250×0.75\dfrac{{W}_{2}}{50} + 1 = \dfrac{{W}_{2}}{50 \times 0.75}

W2=150g{W}_{2} = 150g

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