Step 1: Understanding the Factors Influencing Basicity
The basicity of amines is mainly determined by the electron density on the nitrogen atom. The more electron-donating the substituents, the more basic the amine will be, as they enhance the availability of the nitrogen's lone pair for protonation. On the other hand, electron-withdrawing groups decrease the electron density on nitrogen, reducing its basicity.
Electron-donating groups (like \(–NH_2\) and \(–CH_3\)) increase the basicity by raising the electron density on nitrogen.
Electron-withdrawing groups (such as \(–NO_2\) and \(–CN\)) decrease the basicity as they pull electron density away from nitrogen, making the lone pair less available to accept a proton.
\bigskip
Step 2: Analyzing the Substituents
Now, let’s analyze the substituents attached to the nitrogen atoms in the given compounds:
\(–NH_2\) is an amine group, an electron-donating group. It will increase the electron density on nitrogen, making the amine more basic.
\(–NO_2\) is a strong electron-withdrawing group. It pulls electron density away from nitrogen, reducing the availability of the lone pair and lowering the basicity.
\(–CH_3\) is also an electron-donating group, but weaker than \(–NH_2\). Therefore, it increases basicity, but not as strongly as \(–NH_2\).
\bigskip
Step 3: Arranging in Order of Basicity
Now, let’s rank the compounds based on the strength of their electron-donating or electron-withdrawing effects:
\(–NO_2\) (electron-withdrawing) will have the lowest basicity.
\(–NO_2\) (when positioned para) will be less basic than \(–NH_2\) due to the electron-withdrawing nature of \(–NO_2\).
\(–NH_2\) will be the most basic because it is a strong electron-donating group.
\(–CH_3\) is a mild electron-donating group, so it will be more basic than \(–NO_2\), but less basic than \(–NH_2\).
Therefore, the increasing order of basicity is:
\[
\text{NO}_2<\text{NO}_2<\text{CH}_3<\text{NH}_2
\]