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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2021 · 27 July · Morning Shift · Chemistry · Electrochemistry

The conductivity of a weak acid HA of concentration 0 . 001mol L ^...

The conductivity of a weak acidHAHA of concentration 0.001molL−10 . 001mol{L}^{- 1} is 2.0×10−5Scm−12 . 0 \times {10}^{- 5}S{cm}^{- 1}. If Λm0(HA)=190Scm2mol−1,{Λ}_{m}^{0} ( HA ) = 190S{cm}^{2}{mol}^{- 1}, the ionization constant (Ka)\left({K}_{a}\right) of HA is equal to ____ \times {10}^{- 6}
(Round off to the Nearest Integer)

Correct answer

0

Step-by-step solution

Λm=1000×KM{Λ}_{m} = 1000 \times \dfrac{K}{M}
=1000×2×10−50.001=20Scm2mol−1= 1000 \times \dfrac{2 \times {10}^{- 5}}{0 . 001} = 20S{cm}^{2}{mol}^{- 1}

⇒α=ΛmΛm∞=20190=(219)⇒ \alpha = {Λ}_{m}{Λ}_{m}^{\infty} = \dfrac{20}{190} = \left(\dfrac{2}{19}\right)

=12.3×10−6= 12 . 3 \times {10}^{- 6}

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