If conductivity is directly proportional to the cross-sectional area of the solution and the concentration of the solution in it and is inversely proportional to the length of the cessel then the constant proportionality is expressed in

Options

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

Answer

C

Explanation

Let the constant of proportionating be `x`, then
`kappa = x(A)/(l)M`
Substituting the units, we have
`S m^(-1) = x(m^(2))/(m)mol m^(3)`
`x = S m mol^(-1)`