Why does molar conductivity of a weak electrolyte exceed that of a strong electrolyte at low concentrations?

My textbook has this graph.


[![Graph depicting molar conductivity vs concentration](https://i.stack.imgur.com/a4yxi.png)](https://i.stack.imgur.com/a4yxi.png)


The only sort of explanation given is that conductivity increases on dilution because the salts ionise better. Which is incomplete because then the graph for KCl should be a flat line. But since strong electrolytes dissociate a 100%, you would expect it to set some sort of a limit, because that's as best as you can get in terms of dissociation, and that's the only difference between the two salts.


