The nature of Sodium and Chloride

[Aerlinn]

Can someone please help me with these two questions?
In terms of bonding and properties, why does Sodium conduct electricity in both the solid state and in solution/ molten state?
In terms of bonding and properties, why doesn't Chlorine conduct electricity either in the solid state or in solution/ molten state?
I just wanted to confirm whether my answers to these were correct, so can anyone answer them? =)

Thanks!