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JEE Main 20245 AprilMorning Shift
Exam
JEE Main
Year
2024
Date
5 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2024 · 5 April · Morning Shift · Chemistry · Electrochemistry

Molar ionic conductivities of divalent cation and anion are (57 ~S...

Molar ionic conductivities of divalent cation and anion are (57 \mathrm{~S} \mathrm{~cm}^2  mol−1\mathrm{~mol}^{-1}) and (73 \mathrm{~S} \mathrm{~cm}^2  mol−1\mathrm{~mol}^{-1}) respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be :

Options

  1. A(187 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1})
  2. B(260 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1})
  3. C(130 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1})
  4. D(65 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1})

Correct answer

C. (130 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1})

Step-by-step solution

\begin{aligned} & \Lambda_{\mathrm{C}^{+2}=57 \mathrm{Scm}^2 \mathrm{ mol}^{-1} \\ & \Lambda_{\mathrm{A}^{+2}=73 \mathrm{Scm}^2 \mathrm{ mol}^{-1} \\ & \Lambda_{\text{Solution }}=\lambda_{\mathrm{C}^{+2}+\Lambda_{\mathrm{A}^{-2} \\ & =57+73=130\end{aligned}
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