equivalent conductivity??

Equivalent conductance=Λ=κC of a C normal solution,
so am I right in presuming that κ=CΛ is the equivalent CONDUCTIVITY?
If so ,

we have to plot κ vs √C of a strong electrolyte

I tried to proceed as follows :

Λ=Λ⁰- b√C, b= Kohlrausch's constant...

thus, κ=CΛ⁰- bC^3/2 and so we have a cubic in √C..

Now , I have assumed that κ=CΛ is the equivalent conductivity of a C normal solution..is it right, if not..what is precisely equivalent conductivity(note: not equivalent conductance)?
Besides if it were right, whats the equivalent conductivity at infinite dilution..is it κ^o=CΛ⁰=0xΛ⁰=0?
I seem to have been mistaken....

BTW, this is my first post at Target IIT, hurray...