Step 1: Definition.
Specific conductance (or conductivity, \(\kappa\)) is the conductance of 1 cm\(^3\) of a solution placed between two electrodes 1 cm apart.
Step 2: Unit.
Since conductance unit is ohm\(^{-1}\) (or siemens, S), and length factor introduces cm\(^{-1}\), the unit is ohm\(^{-1}\) cm\(^{-1}\).
Step 3: Conclusion.
Therefore, the unit of specific conductance is ohm\(^{-1}\) cm\(^{-1}\).