Conductivity (Unit Siemen's 'S') is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportionals to the length of the vessel, then the unit of constant of proportionality is :

Options

A. `"Sm mol"^(-1)`
B. `"Sm"^(2) "mol"^(-1)`
C. `"S"^(-2) m^(2)` mol
D. `"S"^(2) "m"^(2) "mol"^(2)`

Answer

B

Explanation

Conductivity =`kxx ("area" xx "concentration")/("length")`
or `k=("conductivity" x "length")/("area x concentration")`
`=(S x m)/(m^(2)xx "mol"^(-3))= "Sm"^(2) "mol"^(-1)`