Question

Conductivity (siemens, S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in ______.

Options

• S m mol⁻¹

• S² m² mol⁻²

• S m² mol⁻¹

• S² m² mol

Answer 1

Conductivity (siemens, S) is directly proportional to area of the vessel and the concentration of the solution in it and is inversely proportional to the length of the vessel, then constant of proportionality is expressed in S m² mol⁻¹.

Explanation:

Conductivity κ is related to molar conductivity Λ_m by

`Lambda_m = kappa xx 1000/C`

The molar conductivity unit is derived as:

Λ_m​ = S m⁻¹ × m³ mol⁻¹

= S m² mol⁻¹