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To determine the compound that forms the most stable diazonium salt, we compare aliphatic and aromatic amines.
Primary aromatic amines react with nitrous acid at low temperature $$\mathrm{(0{-}5^\circ C)}$$ to form stable aryldiazonium salts.
Primary aliphatic amines form unstable alkyl diazonium salts which immediately decompose with evolution of nitrogen gas.
Thus, options $$\mathrm{A}$$ and $$\mathrm{D}$$ can be eliminated because propylamine and isopropylamine are primary aliphatic amines.
$$\mathrm{R-N_2^+Cl^- \longrightarrow Alcohol + N_2\uparrow}$$
Option $$\mathrm{B}$$, $$\mathrm{N}$$-methylaniline, is a secondary aromatic amine.
Secondary amines do not form diazonium salts.
Instead, they form $$\mathrm{N}$$-nitrosoamines.
$$\mathrm{R_2NH + HNO_2 \longrightarrow R_2N-NO}$$
Option $$\mathrm{C}$$, p-toluidine, is a primary aromatic amine and therefore forms a stable aryldiazonium salt.
$$\mathrm{p{-}CH_3C_6H_4NH_2 \xrightarrow[\ 0{-}5^\circ C\ ]{NaNO_2/HCl} p{-}CH_3C_6H_4N_2^+Cl^-}$$
The diazonium ion is stabilised by resonance with the benzene ring.
Also, the methyl group $$\mathrm{(-CH_3)}$$ is electron-donating and further stabilises the positively charged diazonium group through the $$\mathrm{+I}$$ effect.
Therefore, the most stable diazonium salt is formed by:
$$\boxed{\mathrm{p{-}Toluidine}}$$
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