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 constant of proportionality is______________.

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

Answer 1

The correct option is B $S{m}^{2}mo{l}^{-1}$

We have,

unit of conductivity = Siemen's

$conductivity=\frac{K\ast A\ast C}{l}$

$K=\frac{S\ast m}{m^2\ast mol\ast m^{-3}}$

so, unit of$K=S{m}^{2}mo{l}^{-1}$