What is the formula of the conjugate acid of dimethylamine

What is the formula of the conjugate acid of dimethylamine, (CH3)2NH? What is the formula of its conjugate base? Trimethylamine has a similar structure to dimethylamine; why does it not have a conjugate base?

The correct answer and explanation is :

The formula of the conjugate acid of dimethylamine ((CH_3)_2NH) is ((CH_3)_2NH_2^+) (dimethylammonium ion).
The formula of the conjugate base of dimethylamine is ((CH_3)_2N^-) (dimethylamide ion).

Explanation:

Dimethylamine ((CH_3)_2NH) is a weak base because of the presence of a nitrogen atom with a lone pair of electrons that can accept a proton (H⁺). When it reacts with an acid, it gains a proton to form its conjugate acid, dimethylammonium ion ((CH_3)_2NH_2^+). This occurs as follows:
[
(CH_3)_2NH + H^+ \rightarrow (CH_3)_2NH_2^+
]
Conversely, dimethylamine can also lose a proton (though this is much less common) to form its conjugate base, dimethylamide ion ((CH_3)_2N^-):
[
(CH_3)_2NH \rightarrow (CH_3)_2N^- + H^+
]

Why Trimethylamine Does Not Have a Conjugate Base:

Trimethylamine ((CH_3)_3N) has a nitrogen atom bonded to three methyl groups. Unlike dimethylamine, it lacks a hydrogen atom directly attached to the nitrogen, which means it cannot lose a proton to form a conjugate base. Since conjugate bases are formed by deprotonation (removal of an H⁺), and trimethylamine has no such hydrogen, it does not have a conjugate base. However, it can accept a proton to form a conjugate acid, trimethylammonium ion ((CH_3)_3NH^+):
[
(CH_3)_3N + H^+ \rightarrow (CH_3)_3NH^+
]

Thus, while dimethylamine has both a conjugate acid and base, trimethylamine only has a conjugate acid.

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