Note: what makes a solution acidic or basic..its pH who decide whether a solution is acid or basic.
Lets first see NaHCO3, sodium bicarbonate can acts as a weak base when dissolve in water. It can act as both acid and base but dissolve in water its pH is greater than 7.
In water NaHCO3 dissociate completely.and giving Na+ and HCO3- .
NaHCO3 (aq.) --------> Na+ + HCO3-
HCO3- + H2O ---------> H2CO3 + OH-
Due to release of OH- , this makes the solution basic.
While, in case of NaHSO3,
NAHSO3 dissociate into Na+ and HSO3- in water.
NaHSO3 (aq.)------> Na+ + HSO3-
HSO3- + H2O ------> SO42- + H30+
This is H3O+ which makes the solution acidic.
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