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JEE Advanced 2021Paper 1
Exam
JEE Advanced
Year
2021
Paper
Paper 1
Subject
Chemistry
Chapter
Solutions

JEE Advanced 2021 · Paper 1 · Chemistry · Solutions

The boiling point of water in a 0.1 molal silver nitrate solution...

The boiling point of water in a 0.10.1 molal silver nitrate solution (solution A\mathbf{A} ) is x∘C\mathbf{x}^{\circ} \mathrm{C}. To this solution A\mathbf{A}, an equal volume of 0.10.1 molal aqueous barium chloride solution is added to make a new solution B. The difference in the boiling points of water in the two solutions A\mathbf{A} and B\mathbf{B} is y×10−2∘C\mathbf{y} \times 10^{-2}{ }^{\circ} \mathrm{C}.
(Assume: Densities of the solutions A\mathbf{A} and B\mathbf{B} are the same as that of water and the soluble salts dissociate completely.
Use: Molal elevation constant (Ebullioscopic Constant), Kb=0.5 K kg mol−1K_{b}=0.5 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}; Boiling point of pure water as 100∘C100^{\circ} \mathrm{C}.)
The value of xx is ___.

Correct answer

0

Step-by-step solution

Given for solution AA

m=0.1m = 0 . 1

i= 11 for AgNO3=2{AgNO}_{3} = 2

Kb=0.5Kgmol−1{K}_{b} = 0 .5 Kg{mol}^{- 1}

So ΔTb=Tb−Tb∘=1Kbm{\Delta T}_{b} = {T}_{b} - {T}_{b}^{∘} = 1{K}_{b}m

Tb−100∘C=2×0.5×0.1{T}_{b} - {100}^{∘}C = 2 \times 0 .5 \times 0 .1

Tb=100∘C+0.1=100.1∘C{T}_{b} = {100}^{∘}C + 0 .1 = 100{.1}^{∘}C

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