Conductance (Siemens, S) is directly proportional to the area of the vessel and the concentration of solution in it and is inversely proprtional to the length of the vessel, then the unit of constant of proportionlity is :

Options

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

Answer

b

Explanation

`c prop a` and `c prop` molarity `prop(1)/(1)`
`c prop (a)/(1) xx` molary `= K+ (a)/(1) xx` motalty
`:.` Unit of `K = S xx (m)/(m^(2)) = ((m^(3)))/(mol) xx S m^(2) mol^(-1)`