A weak acid with a strong base involves the direct transfer of protons from the weak acid to the hydoxide ion.
After a sharp increase on the pH at the begining, the pH slow down, This is because the solution is acting as a buffer. This will continue until the base overcomes the buffers capacity.
On those terms the Strong acid+Strong base reaction is better becase it will completly react until one of the reactants is over or the whole solution is neutralize.
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