Under which of the following conditions, conductance conductivity and equivalent conducticity are all equal?

Options

A. `1 C C` of the solution contanis `1` eq. of the electrolyte
B. `10 C C` of the solution contains `1` eq. of the electrolyte
C. `100 C C` of the solution contains `1` eq. of the electrolyte
D. `1000 C` of the solution contains `1` eq. of the elelctrolytes

Answer

A

Explanation

Imagine `1 C C` of a solution of an electrolyte placed between two large electrode `1 cm` apart. The cross-sectional area of the solution will be `1 cm^(2)`. The conductance of the solution `(G = kappa.l//A)` with evidently be its specific conductance because we are having one `cm` cube of the solution. Further, suppose that `1 CC` of the solution contains `1` gram equivalent of the electrolute dissolved in it. Then, according to the definition of equivalent conductance (the conducting power of all ions produced by one equivalent of the electrolyte in the given solution), the conductance, `Lambda_(eq.)` Thus, in this case
Conducatance (G) = Specific conductance `(kappa)`
= Equivalent conducatance `(Lambda_(eq.))`