At a particular temperature ,the ratio of molar conductnace and specific
Answers
Answer:
Mathematically
R\ \alpha \ l
R\ \alpha \ \frac{1}{A}
\Rightarrow R = \rho \frac{l}{A}
Where ρ is called the specific resistance.
l/A is known as cell constant.
If l = 1 cm and A = 1 cm2, then
R = ρ
The specific resistance is, thus defined as the resistance of one centimeter cube of a conductor.
The reciprocal of specific resistance is termed the specific conductance or it is the conductance of one centimeter cube of a conductor.
It is denoted by the symbo \kappa (kappa)l .
Thus,
\kappa =\frac{1}{\rho }
Where \kappa = kappa → the specific conductance
Specific conductance is also called conductivity.
Further,
\rho =\frac{A\times R}{l}
\Rightarrow \frac{1}{\rho } =\frac{l}{A}\times \frac{1}{R}
\Rightarrow \kappa = \frac{l}{A}\times C
or Specific conductance = Conductance × cell constant
In the case of electrolytic solutions, the specific conductance is defined as the conductance of a solution of definite dilution enclosed in a cell having two electrodes of unit area separated by one centimeter apart.
Unit of specific conductance: \Omega ^- cm^-^1