Step 1: Understanding the Factors Affecting Basicity
The basicity of amines is primarily determined by the electron density on the nitrogen atom. The more electron-donating the substituents, the more basic the amine will be, as they increase the availability of the lone pair on nitrogen for protonation. Conversely, electron-withdrawing groups decrease the electron density on nitrogen and thus reduce its basicity.
Electron-donating groups (such as \(–NH_2\) and \(–CH_3\)) increase the basicity because they increase the electron density on nitrogen.
Electron-withdrawing groups (such as \(–NO_2\) and –CN) decrease the basicity because they pull electron density away from nitrogen, making the lone pair less available to accept a proton.
Step 2: Analyzing the Substituents
Let's break down the substituents attached to the nitrogen atoms in the given compounds:
\(–NH_2\) is an amine group, which is an electron-donating group. Thus, 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 the nitrogen, thus decreasing the availability of the nitrogen's lone pair and reducing the basicity.
\(–CH_3\) is an electron-donating group, but not as strongly as \(–NH_2\) . Therefore, it increases basicity, though to a lesser extent compared to \(–NH_2\) .
Step 3: Arranging in Order
Now, let's arrange the compounds in the order of increasing basicity, considering the strength of electron-donating or electron-withdrawing effects:
\(–NO_2\) (electron-withdrawing) will have the lowest basicity.
\(–NO_2\) (with \(–NO_2\) at the para position) is less basic than NH₂ due to the electron-withdrawing nature of \(–NO_2\).
\(–NH_2\) will be more basic than both \(–NO_2\) and \(–CH_3\), as 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 \(–NH_2\).
Thus, the increasing order of basicity is:
\[
\text{NO}_2 < \text{NO}_2< \text{NH}_2< \text{NH}_2 < \text{CH}_3
\]