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JEE Main201910 Apr 2019Evening ShiftChemistrySolutionsActual

1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose ebullioscopic constants are in the ratio of 1 : 5 . The ratio of the elevation in their boiling points, ∆ T b A ∆ T b B , is: (assuming they have the same molar mass)

Options

  1. A10 : 1
  2. B1 : 5
  3. C1 : 0.2
  4. D5 : 1

Correct answer

B. 1 : 5

Step-by-step solution

Elevation in Boiling point ∆ T b = i × k b × m For non-electrolyte, i = 1 m= Molar mass of solute m 1 = molality   of   solution   1 m 2 =   molality   of   solution   2 ∆ T b 1 = k 1 × 1 × m 1 ,   m 1 = 1 100 × m × 1000 = 10 m ∆ T b 2 = k 2 × 1 × m 2 ,   m 2 = 1 100 × m × 1000 = 10 m m 1 = m 2 ∆ T b 1 ∆ T b 2 = k 1 k 2 = 1 : 5

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