Explain why a strong acid must have a weak conjugate base

Explanation:

The specie produced when a strong acid is dissociated in water along with the proton is the conjugate base of that acid.

Consider a strong acid such as HCl which donates the proton so readily as it is a strong base and there is no tendency for conjugate base, which is to re accept that proton.  

A strong base is the one which accepts proton and holds it firmly. Thus, the strong acid has weak conjugate base.

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