Explain the variation of conductivity of a metallic conductor with temperature?

Explanation

In case of strong electrolyte, the number of ions per unit volume is large. This is due to the complete ionisation of strong electrolytes. Therefore, strong electrolytes have high values of molar conductance, `(wedge_(m))` at room temperature. With dilution, inter-ionic forces tend to decrease.
As a result, the ionic mobility increases.
This increases the molar conductance. The molar conductivity increases till a stage is reached, when inter-ionic forces become negligible. Further, increase in dilution does not change the molar conductivity of electrolyte. This is known as molar conductance at inifinite dilution. It is denoted by `wedge^(@)` or `wedge_(m)^(oo)`. So, for strong electrolytes `wedge_(m)` increases slowly with dilution and can be represented by Debye Huckel Onsagar equation as :
`wedge_(m)=wedge_(m)^(oo)-Asqrt(C)....(i)`
Where `wedge_(m)` = molar conductance at concentration.
`wedge_(m)^(oo)` = molar conductance at infinite dilution.
A = a constant.
A graph between `wedge_(m) and sqrt(C )` for KCl is shown in the figure: