Question

Conductivity (unit Siemen's 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

• A. $S^2m^2mol$
• B. $S^2m^2 mol^{-2}$
• C. $Sm^2mol^{-1}$
• D. $Sm mol{-1}$

Answer 1

Answer: (C)

$Sm^2mol^{-1}$

Answer 2

Conductivity, C = $\frac{k[M]A}{l} \, \therefore \, k= \frac{C\times l}{[M]A} = \frac{Sm}{mol \, m^{-3} m^{2}} = Sm^2 \, mol^{-1}$ Where [M] is the molar concentration of the solution