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The net-ionic equation for an acid base reaction involves transfer of a proton (H ion) from the acid to the base. The product

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1. the conjugate base of the weaker acid is the stronger base is correct option

Since, we know from Lewis concept that, a stronger acid will have weaker conjugate base and weaker the acid have strong the conjugate base.

2. No, weak acid + weak base reaction , system doesn't favor

In case of these , when weak acid reacts with weak base , the equillbria always favors the left hand side ,for e.g.

CH2COOH. + H2O <======> CH2COO- + H3O+

here ,weak acid , acetic acid reacts with water , and thus the equillbria always tend to be left-hand side of the equillbria.

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