Conductivity (S m) is directly proportional to area of the plates and the concentration of solution ( mol `m^(-3)`) in it and is inversely proportional to the distance between plates then the unit of constant of proportionality is

Options

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

Answer

A

Explanation

Conductivity `prop ("Area" xx "concentration")/("length")`
`=(kappa xx "area" xx "concentration")/("length")`
`therefore kappa=("conductivity" xx "length")/("area"xx"concentration")`
Units of `kappa=(S m^(-) xx m)/(m^(2)xx"mol" m^(-3))`
`= S m "mol"^(-1).`