Step 1: Understand the factors affecting the basicity of amines.
The basicity of an amine depends on the availability of the lone pair of electrons on the nitrogen atom for protonation. Factors that increase the electron density on the nitrogen atom increase basicity, while factors that decrease it decrease basicity. These factors include:
Alkyl groups: Electron-donating alkyl groups (+I effect) increase the electron density on the nitrogen atom, making the amine more basic.
Aryl groups: The lone pair of electrons on the nitrogen atom in aromatic amines is delocalized into the benzene ring through resonance, making them less basic than aliphatic amines.
Electron-donating groups on the aryl ring: These groups (+I or +M effect) increase the electron density on the nitrogen atom, increasing the basicity of aromatic amines.
Electron-withdrawing groups on the aryl ring: These groups (-I or -M effect) decrease the electron density on the nitrogen atom, decreasing the basicity of aromatic amines.
Steric factors: In some cases, steric hindrance around the nitrogen atom can affect protonation and thus basicity.
Step 2: Analyze the basicity of each amine.
(A) Aniline (\( C_6H_5NH_2 \)): The lone pair on nitrogen is delocalized into the benzene ring, making it weakly basic.
(B) p-Methoxy aniline (\( p-MeOC_6H_4NH_2 \)): The methoxy group (\( -OCH_3 \)) is an electron-donating group (+M and -I effect, with +M dominating). It increases the electron density on the nitrogen atom through resonance, making p-methoxy aniline more basic than aniline.
(C) p-Nitro aniline (\( p-NO_2C_6H_4NH_2 \)): The nitro group (\( -NO_2 \)) is a strong electron-withdrawing group (-M and -I effect). It decreases the electron density on the nitrogen atom through resonance, making p-nitro aniline much less basic than aniline.
(D) Methylamine (\( CH_3NH_2 \)): Methyl group is an electron-donating alkyl group (+I effect), making methylamine more basic than aniline.
(E) Dimethylamine (\( (CH_3)_2NH \)): Two electron-donating methyl groups (+I effect) increase the electron density on the nitrogen atom further compared to methylamine. In the gas phase, dimethylamine is more basic than methylamine. In aqueous solution, solvation effects also play a role, but generally, secondary aliphatic amines are more basic than primary aliphatic amines.
Step 3: Arrange the amines in descending order of basicity.
Based on the above analysis:
Dimethylamine (E) is the most basic due to two electron-donating methyl groups and favorable solvation in aqueous solution.
Methylamine (D) is more basic than aniline due to one electron-donating methyl group.
p-Methoxy aniline (B) is more basic than aniline due to the electron-donating methoxy group.
Aniline (A) is less basic due to the delocalization of the lone pair into the benzene ring.
p-Nitro aniline (C) is the least basic due to the strong electron-withdrawing nitro group.
The descending order of basicity is: E>D>B>A>C.
Step 4: Match the order with the given options.
The order E>D>B>A>C matches option (2).