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JEE Main 201910 AprilEvening Shift
Exam
JEE Main
Year
2019
Date
10 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

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

1g of a non-volatile non-electrolyte solute is dissolved in 100g of...

1g1g of a non-volatile non-electrolyte solute is dissolved in 100g100g of two different solvents AA and B whose ebullioscopic constants are in the ratio of 1:51: 5. The ratio of the elevation in their boiling points, ∆Tb(A)∆Tb(B)\dfrac{∆ {T}_{b}\left(A\right)}{∆ {T}_{b}\left(B\right)}, is: (assuming they have the same molar mass)

Options

  1. A10:110: 1
  2. B1:51: 5
  3. C1:0.21: 0.2
  4. D5:15: 1

Correct answer

B. 1:51: 5

Step-by-step solution

Elevation in Boiling point ∆Tb=i×kb×m∆ {T}_{b} = i \times {k}_{b} \times m

For non-electrolyte, i=1i = 1

m= Molar mass of solute

m1=molalityofsolution1m2=molalityofsolution2{m}_{1} = molalityofsolution1{m}_{2} = molalityofsolution2

∆Tb1=k1×1×m1,m1=1100×m×1000=10m∆ {T}_{{b}_{1}} = {k}_{1} \times 1 \times {m}_{1}, {m}_{1} = \dfrac{1}{100 \times m} \times 1000 = \dfrac{10}{m}

∆Tb2=k2×1×m2,m2=1100×m×1000=10m∆ {T}_{{b}_{2}} = {k}_{2} \times 1 \times {m}_{2}, {m}_{2} = \dfrac{1}{100 \times m} \times 1000 = \dfrac{10}{m}

m1=m2{m}_{1} = {m}_{2}

∆Tb1∆Tb2=k1k2=1:5\dfrac{∆ {T}_{{b}_{1}}}{∆ {T}_{{b}_{2}}} = \dfrac{{k}_{1}}{{k}_{2}} = 1: 5

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