Conductivity (unit siemens) is directly propotional to area of the vessel and the concentration of the solution it and is inversely proportional to the length of the vessel 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

B

Explanation

`Calpha("area"xx"cone")/(l)rArrC=K("const").("area"xx"conc")/("length")`
`S=K("const")xx(m^(2))/(m)xx(mol)/(10^(-3)m^(3))rArr`
`K=sxx(m^(4))/(m^(2)mol)=sm^(2)mol^(-1)`