In aqueous solution sodium acetate (CH3COONa) dissociates as under and forms weak acid (CH3COOH) and strong base (NaOH)
CH3COONa⟶CH3COO−+Na+
H2O⟶H++OH−
-----------------------------------------------------------------------------------
CH3COONa+H2O⟶CH3COOHWeakacid+NaOHStrongbase
Since NaOH is strong base, it remains completely dissociated to produce large numbers of OH− ions as compared to H+ ion coming from weak acid CH3COOH. Thus, due to large numbers of O− ions, the solution becomes basic.