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JEE Main 202116 MarchMorning Shift
Exam
JEE Main
Year
2021
Date
16 March
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2021 · 16 March · Morning Shift · Chemistry · Solutions

AB _ 2 is 10 % dissociated in water to A ^ 2 + and B ^ - . The...

AB2{AB}_{2} is 1010 % dissociated in water to A2+{A}^{2 +} and B−{B}^{-}. The boiling point of 10.010 . 0 molal aqueous solution of AB2{AB}_{2} is-- C∘C ∘. (Round off to the Nearest Integer).

[Given : Molal elevation constant of water Kb=0.5Kkgmol−1{K}_{b} = 0 . 5Kkg{mol}^{- 1} boiling point of pure water=100°C= 100 ° C]

Correct answer

0

Step-by-step solution

{AB2→A2++2B−t=0a00t=0a−aαaα2aα\begin{cases} & {AB}_{2} & \to & {A}^{2 +} & + & 2{B}^{-} \\ t = 0 & a & & 0 & & 0 \\ t = 0 & a - a \alpha & & a \alpha & & 2a \alpha\end{cases}

nT=a−aα+aα+2aα{n}_{T} = a - a\alpha + a\alpha + 2a\alpha

=a(1+2α)= a\left(1 + 2\alpha\right)

so i=1+2αi = 1 + 2\alpha

Now ΔTb=i×m×Kb{\Delta T}_{b} = i \times m \times {K}_{b}

ΔTb=(1+2α)×m×Kb{\Delta T}_{b} = \left(1 + 2\alpha\right) \times m \times {K}_{b}

α=0.1m=10Kb=0.5\alpha = 0 . 1m = 10{K}_{b} = 0 . 5

ΔTb=1.2×10×0.5{\Delta T}_{b} = 1 . 2 \times 10 \times 0 . 5

=6= 6

So boiling point =106= 106

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