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Question: Answered & Verified by Expert
The limiting molar conductivities $\wedge^0$ for $\mathrm{NaCl}, \mathrm{KBr}$ and $\mathrm{KCl}$ are 126,152 and $150 \mathrm{Sm}^2 \mathrm{~mol}^{-1}$ respectively. The $\wedge^0$ for $N a B r$ is
ChemistryElectrochemistryJEE Main
Options:
  • A $278 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  • B $176 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  • C $128 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
  • D $302 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
Solution:
2357 Upvotes Verified Answer
The correct answer is: $128 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$
$\left(152 \mathrm{scm}^2\right) \wedge_{K B r}^0=\wedge_{X^{+}}^0+\wedge_{\zeta \zeta^{-}}^0$ ...(i)
$\left(126 \mathrm{scm}^2\right) \wedge_{\mathrm{NGCl}}^0=\wedge_{\mathrm{Nb}^{+}}^0+\wedge_{\mathrm{cr}}^0$ ...(ii)
$\left(150 \mathrm{scm}^2\right) \wedge_{\mathrm{KCl}}^0=\wedge_{\mathrm{K}^{+}}^0+\wedge_{\mathrm{Cl}}^0$ ...(iii)
By equation (i)+(ii)-(iii)


$=126+152-150=128 \mathrm{Scm}^2 \mathrm{~mol}^{-1}$
\(\begin{array}{|l|l|l|l|l|l|} \hline \text { Electrolyte: } & \mathrm{KCl} & \mathrm{KNO}_3 & \mathrm{HCl} & \mathrm{NaOAc} & \mathrm{NaCl} \\ \hline \Lambda^*\left(\mathrm{Scm}^2 \mathrm{~mol}^{-1}\right): & 149.9 & 145.0 & 426.2 & 91.0 & 126.5 \\ \hline \end{array}\)

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