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Question: Answered & Verified by Expert
Conductivity (unit Siemen’s) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel then the unit of the constant of proportionality is
ChemistryElectrochemistryJEE Main
Options:
  • A Sm mol ${ }^{-1}$
  • B $\mathrm{Sm}^2 \mathrm{~mol}^{-1}$
  • C $S^{-2} m^2 \mathrm{~mol}$
  • D $\mathrm{S}^2 \mathrm{~m}^2 \mathrm{~mol}^{-2}$
Solution:
2990 Upvotes Verified Answer
The correct answer is: $\mathrm{Sm}^2 \mathrm{~mol}^{-1}$
$C=\frac{K[A] A}{l}, K=\frac{C \times l}{[A] A}=\frac{\mathrm{Sm}}{\mathrm{mol} \mathrm{m}^{-3} \mathrm{~m}^2}=\mathrm{Sm}^2 \mathrm{~mol}^{-1}$

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