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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 AandB\mathbf{A} and \mathbf{B} is y×10−2∘C\mathbf{y} \times 10^{-2}{ }^{\circ} \mathrm{C}.
(Assume: Densities of the solutions AandB\mathbf{A} and \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 \left|y\right| is ___.

Correct answer

0

Step-by-step solution

After adding BaCl2{BaCl}_{2} solution in AgNO3{AgNO}_{3}solution AgClAgCl will be precipitate.

Since volume of both solutions are equal let's take

V=1LV = 1L of each.

so initial moles of AgNO3=0.1mole{AgNO}_{3} = 0 .1 mole

initial moles of BaCl2=0.1mole{BaCl}_{2} = 0 .1 mole

2AgNO3+BaCl2→2AgCl↓+Ba(NO3)22{AgNO}_{3} + {BaCl}_{2} \to 2AgCl ↓ + Ba{\left({NO}_{3}\right)}_{2}

{2AgNO3+BaCl2→2AgCl↓+Ba(NO3)2Intialmoles0.10.1Change0.1−0.05+0.1+0.05Finalmoles00.050.05Finalconcentration0.0520.052\begin{cases}2{AgNO}_{3} + & {BaCl}_{2} \to & 2AgCl ↓ + & Ba{\left({NO}_{3}\right)}_{2} \\ Intialmoles & 0 .1 & 0 .1 \\ Change & 0 .1 & - 0 .05 & + 0 .1 & + 0 .05 \\ Finalmoles & 0 & 0 .05 & 0 .05 \\ Finalconcentration & \dfrac{0 .05}{2} & \dfrac{0 .05}{2}\end{cases}

New ΔTb=1Kbm{\Delta T}_{b} = 1{K}_{b}m

\left(\dfrac{3 \times 0 .05}{2} + \dfrac{3 \times 0 .05}{2}\right) \times 0 .5 = 0{.075}^{∘}C</p><p>Differenceinboilingpointofbothsolution</p><p></p><p>Difference in boiling point of both solution</p><p>= {\Delta T}_{{b}_{1}} - {\Delta T}_{{b}_{2}} = 0 .1 - 0 .075</p><p></p><p>= 0 .025 = 2 .5 \times {10}^{- 2} K

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