Question

The unit of conductance is _____________ and that of specific conductance is ____________.

Answer 1

Hint: An electrolytic solution has the ability to dissociate into ions. These solutions are capable of conducting electricity. Conductance is the reciprocal of resistance. While, specific conductivity is the conductivity of all the ions present in the unit cubic area of the solution.

Complete answer:
The unit of any substance is the parameter to measure that substance. An electrolytic solution consists of ions that have free electrons that are capable to conduct electricity. The conductance of electrolytic solutions is used in a cell that converts electrical energy into mechanical energy. As we know, the electrical energy comes from the flow of electrons.
Resistance is known as the obstruction in the flow of electric current. The unit of measurement of resistance is ohm denoted by $\mathrm{\Omega }$. The reciprocal of resistance gives us the conductivity of the ions present in the solution. As conductance is the reciprocal of resistance its unit is${\displaystyle \frac{1}{ohm}}$or$oh{m}^{-1}$and${\mathrm{\Omega }}^{-1}$.
Specific conductivity of any solution is defined as the conductance of the conductor having unit length and unit surface area. It can also be known as the conductivity of all the ions present in $1c{m}^3$area of the solution. Since it is the conductance of unit length per square cm of area it is denoted as, kappa, $\kappa ={\displaystyle \frac{1}{R}}{\displaystyle \frac{L}{A}}$ = $\kappa ={\displaystyle \frac{1}{\mathrm{\Omega }}}{\displaystyle \frac{cm}{c{m}^2}}$so, the unit will be, ${\mathrm{\Omega }}^{-1}c{m}^{-1}$or${\mathrm{\Omega }}^{-1}{m}^{-1}$.
Hence, the unit of conductance is ${\mathrm{\Omega }}^{-1}$ and that of specific conductance is
${\mathrm{\Omega }}^{-1}{m}^{-1}$.

Note:
Specific resistivity is the resistance of the conductor in unit length across unit cross sectional area. It is denoted by rho, $\rho$. Specific conductivity is the reciprocal of specific resistivity. The unit of conductance is also measured in sieman (S), or mho, its SI unit is measured in ohm.