Answer: a. [tex]H_2AsO_4^{-}(aq)+H_2O(l)\rightarrow HAsO_4^{2-}(aq)+H_3O^+(aq)[/tex]
b. [tex]K_a=\frac{[HAsO_4^{2-}]\times [H_3O^+]}{[H_2AsO_4^{-}]}[/tex]
Explanation:-
According to the Bronsted-Lowry conjugate acid-base theory, an acid is defined as a substance which looses donates protons and thus forming conjugate base and a base is defined as a substance which accepts protons and thus forming conjugate acid.
The balanced chemical equation is:
[tex]H_2AsO_4^{-}(aq)+H_2O(l)\rightarrow HAsO_4^{2-}(aq)+H_3O^+(aq)[/tex]
Here, [tex]H_2AsO_4^{-}[/tex] is loosing a proton, thus it is considered as an acid and after losing a proton, it forms [tex]HAsO_4^{2-}[/tex] which is a conjugate base.
And, [tex]H_2O[/tex] is gaining a proton, thus it is considered as a base and after gaining a proton, it forms [tex]H_3O^+[/tex] which is a conjugate acid.
The dissociation constant is given by:
[tex]K_a=\frac{[HAsO_4^{2-}]\times [H_3O^+]}{[H_2AsO_4^-]}[/tex]