The basic strength of amines in an aqueous solution primarily depends on the availability of the lone pair of electrons on the nitrogen atom for protonation, which is influenced by the alkyl groups attached to the nitrogen. The electron-donating capacity of these alkyl groups increases the electron density on nitrogen, thereby enhancing its basicity.
In the case of methyl-substituted amines, the following factors influence their basic strength:
Let's analyze the given methyl-substituted amines:
Dimethylamine \((CH_3)_2NH\) presents a balance between high electron density and acceptable steric conditions, making it the strongest base. Methylamine \((CH_3NH_2)\) follows due to moderate electron donation and less steric hindrance. Trimethylamine \((CH_3)_3N\) has high steric hindrance, reducing solvation effect, and consequently, its basicity in aqueous solutions.
Order of Basic Strength: (CH_3)_2NH > CH_3NH_2 > (CH_3)_3N
Thus, the correct answer is: (CH_3)_2NH>CH_3NH_2>(CH_3)_3N.