Answer:
[tex](C_2H_5)_3N~+~H_2O~->~(C_2H_5)_3NH^+~+~OH^-[/tex]
Explanation:
For this question, we have to remember that definition of acid and base in the Bronsted-Lowry theory:
Acid
A substance with the ability to produce a hydronium ion ([tex]H^+[/tex]).
[tex]HA~->~H^+~+~A^-[/tex]
Base
A substance with the ability to accepts a hydronium ion ([tex]H^+[/tex]).
[tex]B~+~H^+->BH^+[/tex]
If we check the reaction mechanism (figure 1). We can see that the lone pair of electrons in the "N" atom will remove an "H" from the water molecule producing a positive charge in the nitrogen and a hydroxyl group ([tex]OH^-[/tex]).
With all this in mind, the net ionic equation would be:
[tex](C_2H_5)_3N~+~H_2O~->~(C_2H_5)_3NH^+~+~OH^-[/tex]
I hope it helps!